1. FIELD OF THE INVENTION
[0001] The present invention relates to thermal dye diffusion printing, further commonly
referred to as sublimation printing, and more particularly to a method for correcting
across-the-head uneveness in the printing density of a thermal sublimation print.
2. BACKGROUND OF THE INVENTION
[0002] Thermal sublimation printing uses a dye transfer process, in which a carrier containing
a dye is disposed between a receiver, such as a transparant or a paper, and a print
head formed of a plurality of individual heat producing elements which will be referred
to as heating elements. The receiver is mounted on a rotatable drum. The carrier and
the receiver are generally moved relative to the print head which is fixed. When a
particular heating element is energised, it is heated and causes dye to transfer,
e.g. by diffusion or sublimation, from the carrier to an image pixel (or "picture
element") in the receiver. The density of the printed dye is a function of the temperature
of the heating element and the time the carrier is heated. In other words, the heat
delivered from the heating element to the carrier causes dye to transfer to the receiver
to make thereon an image related to the amount of heat. Thermal dye transfer printer
apparatus offer the advantage of true "continuous tone" dye density transfer. By varying
the heat applied by each heating element to the carrier, a variable density image
pixel is formed in the receiver.
However, in systems utilising this type of thermal print head it is often observed
that the printing density is not uniform across the page, but that lines, streaks,
and bands are visible.
[0003] US 4,827,279 discloses a method for correcting the uneveness in the printed image.
According to this method, first a flat field is printed using equal input data on
a transparent receiver, then a microdensitometer measures the transmittance values
of the receiver, then the digitised values are stored and finally these are used to
adjust the number of heating pulses that are supplied to the heating elements.
[0004] This method however still leaves some disturbing banding in the printed image which
will be perceived by the human eye, in particular as the image is recorded on a transparant
receiver. Moreover, if the image is intended to be used in medical diagnostics, any
banding is of special disturbance, because medical diagnosis executed by the radiologist
is intrinsically based upon visual inspection of a radiographic image recorded on
such a transparant film.
3. OBJECTS OF THE INVENTION
[0005] It is therefor an object of the present invention to provide in thermal sublimation
printing an improved method for correcting the uneveness in the printing density across
the headwidth, which gives a very effective eveness in the image and allows the image
to be used in medical diagnostics.
[0006] Further objects and advantages will become apparent from the description given hereinbelow.
4. SUMMARY OF THE INVENTION
[0007] We now have found that the above object can be achieved by providing a method for
printing an image by thermal sublimation, comprising the steps of:
1) supplying a stream of uncorrected input data Ii,u to a processing unit of a thermal printer having a line type thermal head with a
plurality of heating elements Hi;
2) obtaining density correction means Mi,d for improving across-the-head uneveness in the printing density according to the
steps of:
a) -activating each heating element with image input data, further indicated as "power
compensated input data" Ii,p , so that a same time-averaged power is generated in each heating element to obtain
a flat field print;
b) -measuring in said flat field print the realised printing density of pixels (or
"picture elements) corresponding to heating elements;
c) -estimating for each heating element the deviation (δi) of the printing density from a printing density aimed at by said power applied to
each heating element;
d) -calculating for each heating element a density correction means Mi,d taking into account said deviation (δi) in printing density; and
e) -storing each of said density correction means Mi,d individually to each heating element into a memory means;
3) combining for each heating element the respective uncorrected input data Ii,u with the respective density correction means Mi,d;
4) providing the thus corrected data Ii,c to the thermal head for reproducing the image.
[0008] Further preferred embodiments of the present invention are set forth in the detailed
description given hereinafter.
5. DETAILED DESCRIPTION OF THE INVENTION
[0009] Hereinbelow the present invention will be clarified in detail with reference to the
attached drawings, without the intention to limit the invention thereto.
Figure 1 is a principe scheme of a thermal sublimation printer;
figure 2 is a data flow diagram of a thermal sublimation printer;
figure 3 is a crosssection of a thermal head;
figure 4 is an image signal matrix representing quantised density values or image
data;
figure 5 is a graph of the heating and cooling curve of a heating element resulting
from one single heating pulse;
figure 6 is a chart illustrating the variance in printing density across a flat field
print corresponding to successive amounts of heating relating to successive values
of uncorrected image input data signals;
figure 7 is a chart illustrating principally the activating strobe pulses of a heating
element with an exemplary strobe duty cycle;
figure 8 is a chart illustrating the variance in printing density across a page of
a flat field printed respectively with uncorrected, with power corrected and with
power and density corrected input data signals;
figure 9 is a chart illustrating principally the activating strobe pulses of a heating
element with an exemplary duty cycle and with an exemplary skipping;
figure 10 is a graph of the heating and cooling curve of heating elements of 2000
Ω and of 2500 Ω, resulting from all heating pulses corresponding to one line-time
including duty cycle pulsewise activation at 100 % and time equidistant skipping;
figure 11 is a graph of the heating and cooling curve of heating elements of 2000
Ω and of 2500 Ω, resulting from all heating pulses corresponding to one line-time
including duty cycle pulsewise activation at 75 % and time equidistant skipping;
figure 12 is an array of power corrections Ri,p according to the present invention intended for equidistant skipping of the strobe
pulses and also referred to as "power map";
figure 13 is a preferred embodiment of the power compensation calibration according
to the present invention and comprising a power map;
figure 14 is a general overview of the basic blocks of the power and density compensation
calibration method according to the present invention;
figure 15 is a first preferred embodiment of the power and density compensation calibration
method according to the present invention;
figure 16 is a second preferred embodiment of the power and density compensation calibration
method according to the present invention;
figure 17 is a flowchart illustrating all main steps of the method of the present
invention according to a preferred embodiment;
figure 18 is a flowchart illustrating all steps of the method for the experimental
defining of the fitting parameter Φ according to a preferred embodiment of the present
invention;
figure 19 illustrates preferred embodiments measuring the printing density in individual
pixels;
figure 20 illustrates preferred embodiments measuring the printing density in clustered
pixels.
[0010] Referring to figure 1, there is shown a global principe scheme of a thermal printing
apparatus that can be used in accordance with the present invention and which is capable
to print a line of pixels at a time on a receiver or acceptor member 11 from dyes
transferred from a carrier or dye donor member 12. The receiver 11 is in the form
of a sheet; the carrier 12 is in the form of a web and is driven from a supply roller
13 onto a take up roller 14. The receiver 11 is secured to a rotatable drum or platen
15, driven by a drive mechanism (not shown for purpose of simplicity) which continuously
advances the drum 15 and the receiver sheet 11 past a stationary thermal head 16.
This head 16 presses the carrier 12 against the receiver 11 and receives the output
of the driver circuits. The thermal head 16 normally includes a plurality of heating
elements equal in number to the number of pixels in the image data present in a line
memory. The imagewise heating of the dye donor element is performed on a line by line
basis, with the heating resistors geometrically juxtaposed each along another and
with gradual construction of the output density. Each of these resistors is capable
of being energised by heating pulses, the energy of which is controlled in accordance
with the required density of the corresponding picture element. As the image input
data have a higher value, the output energy increases and so the optical density of
the hardcopy image 17 on the receiving sheet. On the contrary, lower density image
data cause the heating energy to be decreased, giving a lighter picture 17.
[0011] Figure 3 is a detailed crosssection of a thermal head, indicated as part 16 in figure
1 and containing a heatsink 31, a temperature sensor 32, a bonding layer 33, a ceramic
substrate 34, a glazen bulb 35, a heating element (36 in Fig. 3, being equivalent
to 28 in Fig. 2) and a wearresistant layer 37.
[0012] In the present invention, the activation of the heating elements is preferably executed
pulsewise and preferably by digital electronics. The different processing steps up
to the activation of said heating elements are illustrated in the diagram of Fig 2.
First a digital signal representation is obtained in an image acquisition apparatus
21. Then, the image signal is applied via a digital interface 22 and a first storing
means (indicated as MEMORY in Fig. 2) to a recording unit 23, namely a thermal sublimation
printer. In the recording unit 23 the digital image signal is processed 24, which
is explained more thoroughly in the next paragraph. Next the recording head (16 in
Fig. 1) is controlled so as to produce in each pixel the density value corresponding
with the processed digital image signal value 24. After processing (in 24) and parallel
to serial conversion (in 25) of the digital image signals, a stream of serial data
of bits is shifted into another storing means, e.g. a shift register 26, representing
the next line of data that is to be printed.
Thereafter, under controlled conditions, these bits are supplied in parallel to the
associated inputs of a latch register 27. Once the bits of data from the shift register
26 are stored in the latch register 27, another line of bits can be sequentially clocked
into said shift register 26. As to the heating elements 28, the upper terminals are
connected to a positive voltage source (indicated as V in Fig. 2), while the lower
terminals of the elements are respectively connected to the collectors of the driver
transistors 29, whose emitters are grounded. These transistors 29 are selectively
turned on by a high state signal (indicated as an "ANDed" STROBE in Fig. 2) applied
to their bases and allow current to flow through their associated heating elements
28. In this way a thermal sublimation hardcopy (17 in Fig 1) of the electrical image
data is recorded.
[0013] Because the processing unit 24 is very important for the further disclosure of the
present invention, special attention is now focused on it. As already mentioned before,
the electrical image data are available at the input of 24. Said data are generally
provided as binary pixel values, which are in proportion to the densities of the corresponding
pixels in the original image. For a good understanding of said proportion, it is noted
that an image signal matrix (see Fig. 4) is a twodimensional array of quantised density
values or image data I(i,j) where i represents the pixel column location and j represents
the pixel row location, or otherwise with i denoting the position across the head
of the particular heating element and j denoting the line of the image to be printed.
For example, an image with a 2880 x 2086 matrix will have 2880 columns and 2086 rows,
thus 2880 pixels horizontally and 2086 pixels vertically. The content of said matrix
is a number representing the density to be printed in each pixel, whereby the number
of density values of each pixel to be reproduced is restricted by the number of bits
pro pixel. For a K bit deep image matrix, individual pixels can have N = 2
K density values, ranging from 0 to 2
K - 1. If the matrix depth or pixel depth is 8 bits, the image can have up to 2⁸ or
256 density values.
[0014] More in particular, the image signal matrix to be printed is preferably directed
to an electronic lookup table (abbreviated as LUT) which correlates the density to
the number of pulses to be used to drive each heating element (H
i) in the thermal print head; this number will further be referred to as input data
(I
i). These pulses may be corrected by correlating each of the strings of pulses to density
correcting methods. The corrected pulses are then directed to the head driver for
energising the thermal heating elements within the thermal head.
[0015] Before the invention is described in further detail, it is useful to illustrate (Fig.
5) the effect of feeding one activation pulse to a resistive heating element 28, showing
the temperature on the vertical axis and the time on the horizontal axis. During said
activation pulse the temperature of the resistive heating element, indicated as T
e, rises from e.g. 20°C to 300°C, rising steeply at first and then more gradually.
After the activation has been switched off, the resistive heating element cools at
an even more gradual rate.
[0016] In systems utilising this type of thermal print head it is often observed that the
printing density is not uniform across the page, but that lines, streaks, and bands
are visible in the direction parallel to the page motion. This uneveness occurs even
when the input to the thermal head represents a socalled "flat field", meaning that
the inputs are identical, and thus that all of the heating elements are heating in
response to the same constant input. Said variance in optical density from one position
to another across the width of a print head, for an exemplary flat field, is graphically
illustrated by Fig. 6. Even for similarly constructed heating elements contained within
one thermal head, there might be an initial variance between the density output created
by one heating element versus the density output created by another heating element
with both of the heating elements receiving pulses of equal type and equal number
at the same time. Further, it is often observed that the size of the density uneveness
varies with the lifetime of the thermal head and with the amount of heating. Fig 6
illustrates how the printing density varies across the width of the printhead, and
how this variation becomes more pronounced at higher density levels relating to higher
amounts of heating.
[0017] Regarding said density uneveness, this may be eliminated by the method of the present
invention, which now will be shortly summarised by its essential features. According
to said method, the activating of the heating elements is preceded by retrieving,
from the initial configuration settings stored in a memory means (abbreviated as MEM_0)
in the printer, a predetermined power value (further represented by P
ref) and by adjusting the power of the heating element actually producing the lowest
time averaged power (further represented by P
min) to said predetermined power value.
[0018] According to same said method of the present invention, said adjusting of the maximum
power available for each heating element (P
i,u) to said predetermined power value (P
ref), is followed by equalising the printing power of all heating elements to a same
time averaged power value, preferably equal to P
ref.
[0019] By the method of the present invention, an improved eveness in the printing image
is attained, which is remarkably better than the state of the art (as e.g. described
in U.S. 4,827,279 and in WO-A- 91 14577). The main reason for the attained eveness
may be given by the fact that in the present invention only strongly reduced lateral
heatflows between neighbouring heating elements exist, because all heating elements
are activated with exactly the same time averaged electrical power and so they all
have the same temperature.
Whereas U.S. 4,827,279 energises the heating elements with equal data inputs and thus
equal number of pulses, the corresponding powers generated in the heating elements
will be inevitably be confounded by the differences inherent to each thermal head
(as e.g. variations in the resistance of different heating elements, ref. 28 in Fig.
2, variations in the delaytimes of the switching circuits, ref. 29; variations in
the mechanical contact between the thermal head and the dye layer, refs. 16 and 11
in Fig. 1; variations in the thermal contact between the ceramic substrate of the
head assembly and the heatsink, refs. 34 and 31 in Fig. 3; etc.), resulting in unequal
power dissipations and thus causing the above mentioned unequal densities.
Whereas WO-A-91 14577 energises the heating elements with input data using gradation
correction data derived from measurements of the optical data of spots recorded in
response to uncorrected input data, also here the corresponding powers generated in
the heating elements will inevitably be confounded by the differences inherent to
each thermal head, resulting in unequal power dissipations and thus causing the above
mentioned unequal densities.
[0020] Just before starting the fully detailed description of all details of each specific
step of the present invention, it might already be of great interest to make a cross
reference to the Figs. 17 and 18, which are flowcharts illustrating all steps of a
preferred embodiment, according to the method of the present invention.
[0021] Among all possible causes for the above mentioned banding, the most important cause
of vertical banding is the existing variation in the electrical resistance values
of the heating elements. Concerning said variation in the electrical resistance values,
the upper part of Fig 8 illustrates the variance in printing density (D
i) across a page of a flat field printed respectively with uncorrected input data D
i,u and relates to the distribution across the thermal head of the "uncorrected" power
P
i,u available to each individual heating element H
i as it may be determined during a preparatory power measurement. That's why, according
to the present invention, first a correction will be made for the resistance variation.
Therefor, the first step of the method consists of a power compensation calibration
of the heating elements of the thermal head, which preferably can be executed according
to our pending patent application (with application number 92203816.1, being filed
on 09.12.92).
[0022] Before explaining said power compensation calibration in greater depth, one has to
keep in mind at least the following facts. First, as the diffusion process for a pixel
is a function of its temperature and of its transfertime, the printed density is a
function of the applied energy. Second, according to the present invention, the activation
of the heating elements is preferably executed pulsewise, which will be further described
in the next paragraphs, and thus the printing density has to be related to a time
averaged power. Third, before delivery of a printer to a customer, each apparatus
is calibrated at the factory; herein the initial settings for which the printer is
configured include a reference time averaged power available for each heating element
( e.g. P
ref = 65 mW).
[0023] Regarding the activation, in a preferred embodiment of the present invention, the
activation of the heating elements is executed pulsewise in a special manner, further
referred to as "duty cycled pulsing", which is indicated in Fig. 7 showing the current
pulses applied to a single heating element (refs. Hi and 28 in Fig. 2). The repetition
strobe period (t
s) consists of one heating cycle (t
son) and one cooling cycle (t
s - t
son) as indicated in the same Fig. 7. The strobe pulse width (t
son) is the time an enable strobe signal (ref "ANDed" STROBE in Fig. 2) is on. The strobe
duty cycle of a heating element is the ratio of the pulse width (t
son) to the repetition strobe period (t
s). In a printer in connection with the present invention, the strobe period (t
s) preferably is a constant, but the pulse width (t
son) may be adjustable, according to a precise rule which will be explained later on;
so the strobe duty cycle may be varied accordingly. Supposing that the maximal number
of obtainable density values attains N levels, the line time (t
l) is divided in a number (N) of strobe pulses each with repetition strobe periods
t
s as indicated on Fig. 7. In the case of e.g. 1024 density values, according to a 10
bits format of the corresponding electrical image signal values, the maximal diffusion
time would be reached after 1024 sequential strobe periods.
[0024] The above mentioned power compensation calibration of the heating elements, which
stands for the equalising of the power in the heating elements, may occur fully automatically
at some specific time intervals (e.g. at the power up of the system, after a change
of consumable, after a number of prints, etc.) and may be realised in some consecutive
steps, as schematically illustrated in the upper part of the flowchart of Fig. 17,
which part now will be explained shortly. (For a more extensive description of this
calibration step, one may refer to the application numbered 92203816.1 and filed on
09.12.92)
[0025] The maximum time averaged power available for each heating element has to be restricted
below a physical upper bound (P
limit) defined by the physical constraints of the printing system as regarding lifetime
of the heating element, type of consumables to be used, melting or burning of the
carrier or the receiver and loss of glossiness of the printing material. Said P
limit may be laid down in the initial configuration settings (MEM 0) of the printing system
(e.g. P
limit = 70 mW) . For sake of safety, one may, instead of the real physical upper bound
energy (P
limit), implement a somewhat lower power as a reference (e.g. P
ref = 65 mW), also possibly laid down in the initial configuration settings (MEM 0) of
the printing system, which will be used further on in the description of the present
invention.
[0026] After having determined (see Fig. 17, comprising Fig. 17.1 and Fig. 17.2) in a foregoing
measurement procedure the heating element actually producing the lowest time averaged
power (P
min), said power P
min may be adjusted to equal the predetermined power value P
ref retrieved from the initial configuration settings of the printer (MEM_0). According
to the present invention, this adjustment of the power preferably is executed by adjusting
the pulse duration of the strobe pulses (t
son) and thus adjusting the strobe duty cycle (being t
son : t
s) accordingly (cf. Fig. 7). All heating elements may now be activated with a reduced,
but common duty cycle and preferably such that P
min equals the above mentioned predetermined power value P
ref, stored in a memory means of the printer (MEM_0).
A very favorable method for determination of the heating element (H
i) actually producing the lowest time averaged power (P
min), is described in our pending patent application with application number 92203816.1,
being filed on 09.12.92.
[0027] During the lifetime of the thermal head and due to its aging, the resistance values
of the heating elements may change and consequently the dissipated power may change,
as the applied voltage and the applied number and strobe duty cycle of the activation
pulses are constants.
[0028] So, it might also be very well possible that in particular, the power dissipated
by the element (H
i) relating to the power P
min increases during the lifetime of the thermal head, and that eventually the new P
min (indicated by P'
min) becomes greater than P
ref (P'
min > P
ref) .
[0029] In a next power compensation calibration, said eventually increased power of the
actual reference element has nevertheless to be kept constant and equal to the predetermined
power value (P
ref), which, according to the present invention, can be obtained by adjusting the pulse
duration of the strobe pulses (t
son in Fig.7 ) and thus adjusting the strobe duty cycle and the time averaged power accordingly.
[0030] At this point of the present method, the maximum power available for each heating
element (P
i,u) is already limited to said predetermined power value (P
ref), but said power is not yet necessarily equal for all heating elements (H
i), which thus leaves some banding in the printing image.
[0031] The method of the present invention prevents such uneveness by a successive step
of equalising the available printing power over all heating elements to a same time
averaged power value, preferably P
ref. Herefrom, it results that the really applied activation energy is made equal for
all heating elements, although their individual characteristics may be different.
This equalising aim may preferably be attained by ommitting an apt number of heating
pulses and applies as well in duty cycled pulse systems as in non duty cycled pulse
systems, as e.g. pulsewidth or pulsecount systems.
[0032] In a preferred embodiment of the present invention, with duty cycled pulse activation,
and as all other heating elements but the actual reference element could dissipate
more power as P
min, the further and individual reduction of the power of said other elements may preferably
be done by equidistant skipping a number of heating pulses (see Fig. 9 and Fig. 17.2).
By said equidistant skipping a number of heating cycles of those heating elements
that generate too much instantaneous power (namely where P
i,u > P
min), the time averaged power, averaged over a time substantialy less as the linetime
and e.g. in the order of a number of strobe times, of all heating elements becomes
equal (

) and so the temperatures of the elements do (for all values of the position index
i).
[0033] In the upper part of said figure 9, a pulsetrain is drawn as activating the reference
heating element (with P
min). In the lower part of figure 9, a corrected pulsetrain is drawn as activating another
heating element which in the abscence of the present invention, would dissipate e.g.
25 percent of power above said reference, thus dissipating 125% P
ref. As illustrated by Fig. 9, every fifth strobe pulse may be skipped. In this way,
to obtain equal densities for equal image signal data I
i,u, the available time averaged power (P
ave) for every heating element may be made equal and preferably equal to the power of
the heating element actually having the lowest time averaged power (P
min).
[0034] In the present invention, the wording "equidistant skipping" is meant not to be restricted
in a mathematical exact relation, whereby each time precisely the same time distance
or the same number of pulses between successive skippings has to occur.
In general, all following skipping cases are included by the present invention: a)
the case of exact equidistant skipping (e.g. successive skippings on the 4th, the
4th, the 4th ... strobe pulse), b) the case of average equidistant skipping (e.g.
successive skippings on the 4th, the 3th, the 5th ... strobe pulse), and c) even the
broader case of time spread skipping (e.g. successive skippings on the 4th, the 7th,
the 16th, the 5th ... strobe pulse). The wording "equidistant skipping" thus mainly
excludes the skipping cases wherein all skipped pulses are grouped, as it is often,
in the present state of the art, at the end of the line time; but other possible cases
of "grouped skipping" are also excluded, as e.g. grouped skipping at the start or
(nearly) in the midde of the line time.
[0035] In order to make the description of the present invention as clear as possible, reference
is made to Figs. 10 and 11. Both figures, showing the temperature on the vertical
axis (indicated as T
e in °C) and the time on the horizontal axis (indicated as t in ms), are graphs of
the heating and cooling curves of two distinctive heating elements heated by heating
pulses corresponding to one line-time and including duty cycle activation with time
equidistant skipping.
[0036] Herein, Fig. 10 relates to an activation with a duty cycle of 100 % and is meant
as a comparative example, whereas Fig. 11 is an exemplary practical example according
to the method of the present invention, with a duty cycle of 75%; all other circumstances
being constant, as e.g. same time constant and same accumulated heat pro line.
[0037] The left parts of said Figs. 10 and 11 give the temperature evolution during a complete
line time of e.g. 16 milliseconds; the right parts of said Figs. 10 and 11 give a
detailed view of the temperature evolution during a small interval within said line
time, e.g. from 2 to 4 milliseconds.
The upper curves represent the temperature evolution for a heating element with an
electrical resistance of e.g. 2000 Ω. The lower part of said Figs. 10 and 11 comprises
two curves, wherein the smoother curve of the lower curves represents the temperature
evolution for a heating element with an electrical resistance of e.g. 2500 Ω, and
wherein the dented curve of the lower curves represents the temperature evolution
for a heating element with an electrical resistance of e.g. 2000 Ω but now corrected
by equidistant skipping in order to equalise the available power to P
min.
[0038] From said Figs. 10 and 11, some remarkable advantages of the method disclosed by
the present invention, may now be deducted very clearly.
[0039] First, the upper curve and the smoother curve of the lower curves of Fig. 10 may
also be interpreted as representing the temperature evolution if a conventional breaking
off LUT would be used; the dented curve of said lower curves relating to a skipping
LUT being used. From this Fig. 10 it is seen very clearly that the state of the art
with a conventional LUT breaks off the consecutive heating pulses at the end of a
number of pulses required to reach a predetermined optical density.
[0040] Instead the method of the present invention enforces for each heating element a same
"temperature profile", meaning that independent from possible variations in the individual
characteristics of the distinctive heating elements, each heating element will have
a same temperature rise during the heating time. Herefrom it follows that, in order
to attain a same optical density, no corrections to the heating time duration are
necessary. Thereabove, all heating elements remain at a same temperature with only
very slight fluctuations.
[0041] Secondly, the heating power available for heating elements with different electrical
resistances, e.g. from 2000 to 2500 Ω, are made equal to a same time averaged power,
indicated as P
min. As a consequence, also the temperature of each heating element is at every moment
nearly the same. And as a further consequence, also the density on the printed output
is the same for all heating elements, which thus gives a very good eveness.
[0042] In another embodiment of the present invention, the common reduction of the strobe
duty cycle may be replaced by a correspondingly enlarged individual equidistant skipping
(as indicated in Fig. 17.2).
[0043] As a modification of the present method, the common reduction of the duty cycle could
eventually be based on the heating element producing the highest time averaged power
(indicated by P
max). In this method, first the power of the heating element producing the highest time
averaged power (P
max) would be reduced to said predetermined power value (P
ref) retrieved from the initial configuration settings of the printer (MEM_0). Thereafter,
the individual equalising of the power of all the heating elements could be done by
equidistant skipping an apt number of heating pulses.
[0044] Summarising the above mentioned preferred embodiments of the power compensation calibration
method of the present invention, said calibration can be executed in one of several
ways, the common data flow of which is given in Fig. 13.
[0045] A first embodiment incorporates an adjusting of the power P
min by adjusting the duty cycle and a consequential equalising of the power P
i,u of each heating element H
i to a predetermined power value P
ref by equidistant skipping an apt number of heating pulses.
[0046] A second embodiment, preferably relating to a power compensation calibration at maximal
density, incorporates an adjusting of the power P
max by adjusting the duty cycle and a consequential equalising of the power P
i,u of each heating element Hi to a predetermined power value P
ref by equidistant skipping an apt number of heating pulses. (This specific embodiment
of the present invention is not indicated in Fig. 17, solely for sake of simplicity).
[0047] A third embodiment incorporates said adjusting of the power P
i,u not by adjusting the duty cycle, but replaces said common reduction of the duty cycle
by a correspondingly enlarged individual equidistant skipping, such that adjusting
and equalising of the power P
i,u of each heating element H
i to a predetermined power value are obtained both together by equidistant skipping
an individual apt number of heating pulses via the datapath and related to each individual
heating element.
[0048] As a result of this compensation calibration step, an array of power corrections
121 may be obtained, also referred to as "power map", to obtain power corrected image
signals. This array gives for each heating element (H
i) and for each uncorrected input data (I
i,u), the "power corrections" R
i,p (as illustrated schematically in Fig. 17.1) intended for equidistant skipping of
the strobe pulses according to the present invention. This thus guarantees an equal
time averaged power available to the heating elements (H
i), although their individual characteristics, as resistance value (Ref. 28 in Fig.
2) and time delay in the switching circuit (Ref. 29 in Fig. 2), may be different.
So, eventual heat flows between neighbouring heating elements are principally eliminated,
or at least reduced significantly, which is a great advantage above the prior art
of the field and is probably the cause of an improved eveness in the print image.
[0049] Such power map 121 (Fig. 12) may be implemented in the form of a lookup table, as
it is in some preferred embodiments of the present invention. Herein, for each heating
element a power compensation R
i,p is memorised, comprising pro density level a row of binary 0 's and 1 's such that
te heating element with the highest resistance and which, per consequence, could only
dissipate a rather low power, is allowed to dissipate fully naturally, in order to
attain the above mentioned P
ref, and hence all R
i,p 's (with i having a fixed value) equal 1. In the case of a 10 bit pixel depth, for
this heating element, the power map will present a R
i,p value consisting of 1024 times 1 (thus 111...111). For another heating element which
in the abscence of the present invention, would dissipate e.g. 25 percent of power
above said reference, thus dissipating 125% P
ref, every fifth strobe pulse may be skipped as already illustrated by Fig. 9; and hence,
in the case of a 10 bit pixel depth, the power map will present a R
i,p value 11101110.... All other heating elements will have R
i,p values in between them, as e.g. 10101010...
[0050] However, even after executing said power compensation calibration of the heating
elements of the thermal head some minor density differences still may rest in the
print, mostly because of further thermomechanical nonuniformities as e.g. variations
in the mechanical or thermal contact between the thermal head and the back of the
dye donor sheet, or variations in the thermal contact between the ceramic base of
the head assembly and the heatsink, etc.
[0051] As a further step in the method of the present invention, a particular "density compensation
calibration" will be disclosed, of which a schematic overview is given in Fig. 14.
Fig. 14 gives a general overview of the basic blocks of the present invention, which,
in the further description, will be described in much more detail and in different
embodiments.
In general, Fig. 14 shows a clock pulsed strobe path (indicated as STROBE), a main
data path (from the uncorrected input data I
i,u to the final input data I
i,h supplied to the heating elements), a power map 121 resulting from the power compensation
calibration, and density correction means M
i,d, comprising density correction rows R
i,d (ref 141) or density correction factors C
i,d (ref 142).
[0052] Keeping in mind this conceptual survey of Fig. 14, the basic blocks 141 and 142 of
said compensation have to be described. In doing so and in order to be as clear as
possible, first some densitometric relations have to be explained. Indeed, it is stated
that, although none of the above mentioned nonuniformities can be measured directly
and separately, the global result of said nonuniformities, namely the uneveness in
the printed densities, can be measured rather easily using e.g. a microdensitometer.
Knowing the definitions that the optical transmission (indicated by the symbol T)
of a print is the ratio of the light intensity of the transmitted light through the
print to the light intensity of the incident light, and that the optical density (indicated
by the symbol D) equals the logarithm to the base 10 of the reciprocal of the transmission,
following formula may be defined for every pixel, wherein the index i still denotes
the individual position across the head:
which may be adapted to correct for the minimum transmission (T
min) of the receiver material to formula
From these density values (D
i or D'
i), the input data (I
i) for each heating element (H
i), representing the number of strobe pulses (N
i) to be applied, can be corrected in order to improve the eveness by the method described
in the next paragraphs.
[0053] After the already extensively described preparatory step of power compensation calibrating
the heating elements of the thermal head, the next step in the density compensation
calibration makes a flat field on a receiver, preferably a transparent receiver. This
is accomplished by providing each of the heating elements (H
i) in the thermal head with a power corrected number of strobe pulses from a head driving
circuit. The power corrected number can be obtained by the method described above.
If said flat field comprises at least a heigth, e.g. 50 mm, which can be measured
correctly by a transmission or reflection densitometer or microdensitometer, the transmittance
or a relative transmittance of the transparent receiver versus the position accross
the head direction may be measured by said densitometer or microdensitometer.
[0054] A microdensitometer may be used advantageously if the measuring of the printing density
in a flat field print is carried out on individual pixels. A conventional densitometer
may be used advantageously if the measuring of the printing density in a flat field
print is carried out on socalled "clustered" pixels, which are pixels aggregated or
clinged together. For sake of simpicity, the following description will be mainly
worded in relation to individual pixels; but later on, also several preferred embodiments
specifically directed towards clustered pixels will be described in detail (with reference
to the later Fig. 20).
[0055] The output from the microdensitometer is a plurality of transmittance data, from
which a set of density values may be calculated, according to formula [1a] or [1b].
This set of density values, further simply indicated by D
i solely but also implicitely including if relevant the meaning of D'
i, corresponds to each individual heating element. From said set of density values,
a correction may be made to the applied energy to each heating element in order to
improve the eveness.
[0056] After the measuring in said flat field print of the printing density (D
i,p) for each pixel corresponding to a heating element, the deviation (δ
i) of the printing density in relation to a printing density intensionally aimed at
by the power applied to each heating element may now be calculated for each heating
element in one of following ways.
[0057] Generally, the above mentioned determining for each heating element of the deviation
in printing density (δ
i) may be represented by the difference to a desired density, or calculated relative
to D
min,p and/or to D
max,p or calculated relative to the ratio (D
i,p-D
min,p)/(D
max,p-D
min,p). Herein D
i,p is the individual pixel related optical density realised by activating the heating
elements with power compensated input data I
i,p, whereas D
min,p is the minimum of all D
i,p on a printline, and D
max,p is the maximum of all D
i,p on same said printline.
[0058] In a preferred embodiment the variation in printed density (δ
i) may be calculated from a single set of density measurements on one line of a flat
field print. In another preferred embodiment, several lines may be measured on at
least one printed flat field and the average values of the densities are calculated,
which gives a higher statistical reliability. In still another preferred embodiment,
several lines on at least one printed flat field may be measured and the median values
of the densities are calculated, which results in statistical more robust results,
thus being less influencable by possible outliers, as possibly originating from dust
or scrathes. Some further preferred embodiments with measuring of the density over
more tan one line are illustrated in Fig. 20, to be described later on.
[0059] Now that some densitometric relations are recapitulated, the description of the density
compensation step of the present invention (ref. Fig. 14) can be continued, thereby
disclosing the "black boxes" 141 and 142.
[0060] In said density compensation calibration according to the present invention, the
above-mentioned density measurements and correction calculations may be used to correct
for remaining uneveness in the printing density. For a person skilled in the art,
said practical use can be carried out in several ways, two of which are are described
hereinafter.
[0061] In common to both said embodiments of the present invention, said correction of the
applied energy is made in reference to the number and the time spread of the strobe
pulses, e.g. by additional skipping an apt number of pulses; said skipping being preferably
distributed over the total number of strobe pulses (which principe was already explained
above in reference to Fig. 9)
[0062] In a first embodiment of the present invention (Fig. 15), the density deviation factor
δ
i may adapt the contents of the abovementioned power map 121 (Fig. 12 & Fig. 13). More
practically, from said δ
i may result pro heating element H
i a row vector consisting of logical 0's and 1's, as e.g. [11111111001111101 ...],
called "density correction row" R
i,d. It is stated that this correction row R
i,d not necessarily has to be time equidistant, as it may be illustrated by a power map
121 intended for maximal 1024 density levels relating to a heating element with index
i and to a density level d. If, for example, the original contents of said power map
121, after the power compensation calibration step, was e.g. skipping every 50th data
pulse, now e.g. every 49th or every 51th data pulse may be skipped, precisely to attain
a good eveness in printing density. According to this embodiment of the present invention,
after the already described calculation of δ
i, further steps include calculating for each heating element a density correction
row R
i,d taking into account said deviation (δ
i) in printing density, and storing each of said density correction rows R
i,d individually to each heating element (H
i) into a memory means (POWER MAP_D, ref. 151).
[0063] For a person skilled in the art, it is obvious that said power maps POWER MAP_P and
POWER MAP_D (refs 121 and 151) eventually may be combined into one single power map.
[0064] In a second preferred embodiment (Fig. 16), after the already described calculation
of δ
i, further steps may include transforming the input data (I
i,u) to each heating element taking into account said deviation (δ
i) in printing density, the thus transformed data further being indicated as "density-corrected
input data" I
i,d, and storing each of said density corrected input data (I
i,d) individually to each heating element (H
i) into a memory means (LUT_D, ref 161). In this embodiment, the density corrected
input data I
i,d may be obtained preferably according to the next formula
or more specifically according to the formula
wherein Φ is a socalled "fitting parameter" which has to be defined empirically and
preferably lies between 0.75 and 0.98 .
[0065] A more general representation of formulae [2a] and [2b] is given by formula [2c]
and introduces a "density correction factor" C
i,d
For a person skilled in the art, it is obvious that instead of said storing each of
said density corrected input data (I
i,d), also said "density correction factor" C
i,d may be stored.
[0066] The storing into a memory means of whether each of said transformed input data (I
i,d) or of each of said density correction factors (Ci,d), both individually related
to each heating element, can preferably be implemented in the form of a look up table
(indicated as LUT_D, ref 161).
The use of a specific LUT embodiment brings an additional advantage. While such a
table consists of an ordered pair of input and output values, the LUT is very efficient
in performing repetitive operations. Indeed, rather than calculating every time the
density corrected input data I
i,d from the power compensated input data I
i,p, these power and density corrected data I
i,d are directly retrieved from said LUT. Especially when dealing with large size images,
this can save a significant amount of time.
[0067] As a result of the just described density compensation calibration step, each heating
element is activated by power and density corrected signals available at the output
of the ENABLE AND gate 131 (see Fig. 15 and 16), which thus guarantees an equal density
printed by the heating elements 29, although their individual characteristics, as
e.g. resistance value and mechanical or thermal contacts, may be different.
[0068] Said fitting parameter Φ is generally not a constant over the entire density range.
[0069] In a preferred embodiment of the present invention, said fitting parameter Φ may
be defined (see Fig. 18) empirically by the following method:
- for a number, e.g. 4, of Ii,p (e.g. Ii,p = 600) a number of transformations according to formula [2a or 2b] are calculated
for distinctive values of Φ (e.g. Φ between 0.75 and 0.98);
- for each transformation, at least one flat field image is printed with the type of
consumables as they will be used in reality;
- these testprints are observed and evaluated by several and independent technicians,
which evaluation ends in the selection of the prints with the best eveness;
- the Φ values corresponding to the flat field prints selected as having the best eveness
may retrievably be stored in a memory means (indicated as MEM_1 in Fig. 18).
[0070] In summary, in Fig. 17 there is illustrated a principal flow chart of all main steps
of the method of the present invention according to a preferred embodiment, including
as well the power compensation calibration (see Fig. 17.1) as the density compensation
calibration (see Fig. 17.2). And in Fig. 18 there is illustrated a principal flow
chart of all steps of the method for the experimental defining of the fitting parameter
(Φ) according to a preferred embodiment of the present invention. Because the arrangements
of Fig. 17 and of Fig. 18 are similar in structure and operation to the above identified
steps in the full description, they do not need to be described once again. As already
mentioned above, some of these steps may be modified or even omitted, within the same
scope of the present invention.
[0071] Once the density corrected values I
i,d or the density correction factors C
i,d or the density correction rows R
i,d are stored in a memory means, the printing system is ready to perform the steps of
correcting an input image. While printing, said correction may be carried out by replacing
each initially uncorrected input data signal (I
i,u) by its power and density corrected input data signal (I
i,d) . Thus, according to the present invention, also obtained is a method for correcting
across-the-head uneveness in the printing density (D
i) of a thermal sublimation printer containing a head having a plurality of heating
elements (H
i) and containing storing means for holding density corrected values I
i,d or density correction factors C
i,d or density correction row R
i,d for each heating element I
i,d so that while printing said density corrected values I
i,d or said density correction factors C
i,d or said density correction row R
i,d can be used to print input image data, characterised in that said density corrected
values I
i,d or said density correction factors C
i,d or said density correction row R
i,d are obtained according to the method described hereabove.
[0072] As a survey of the remarkable results of the present invention, figure 8 illustrates
the variance in printing density (D
i) across a page of a flat field printed respectively with uncorrected input data D
i,u, with power corrected input data D
i,p and with power and density corrected input data D
i,pd. The illustrated curves may progressively be obtained by the consecutive steps of
the present invention, which steps were hereabove described one by one. Note that
for the density corrected values the same densities are achieved for many more heating
elements than for uncorrected values of input data.
[0073] Although the invention has been described with respect to preferred embodiments,
it is not to be so limited, as changes and modifications can be made within the intended
scope of the present invention defined by the appended claims.
[0074] The correcting method of the present invention can be carried out either as an integrated
part of the power correction or as a separate and consecutive input data transformation.
[0075] It is clear that while measuring the density (D
i) and determining the variance (δ
i) in accordance with the present invention, at the same occasion one could detect
if said density and/or said variance becomes out of range, in which case an error
indication could be displayed to the customer.
[0076] The power and density correction of the present invention may occur at the power
up of the system, after a change of consumable, after a number (e.g. 1000) of prints,
etc.
[0077] Summarising the presently disclosed method for printing an image by thermal sublimation,
some steps can be executed in one of several preferred embodiments, the main characteristics
of which are given hereinbelow. In doing so, reference is made to figure 19 which
illustrates preferred embodiments measuring the printing density in individual pixels;
and to figure 20 which illustrates preferred embodiments measuring the printing density
in clustered pixels.
[0078] In a first embodiment of the present invention, the method for printing an image
by thermal sublimation is characterised in that the pixels wherefrom the printing
density in a flat field print is measured, correspond to individual pixels. Such embodiment
is schematically illustrated in Figs. 19.1 to 19.5.
[0079] In one embodiment of the present invention, the method for printing an image by thermal
sublimation is characterised in that the initial pixel on a line wherefrom the printing
density in a flat field print is measured, is located either in a fixed position (see
Figs. 19.1 and 19.2), or in a (phase-) shifted position (see Figs. 19.3 to 19.5)
In a further embodiment of the present invention, the method for printing an image
by thermal sublimation is characterised in that the pixels wherefrom the printing
density in a flat field print is measured, correspond to individual pixels which are
distant pixels, either periodically distant (see Figs. 19.1 and 19.2) or variably
distant (see Figs. 19.3 to 19.5),
It may be clear that in case all individual pixels are measured, the highest accuracy
may result. It also follows that in case distant pixels are measured, the capacity
of the memory may be reduced economically; and that in case of variably distant pixels,
possible sytematic faults also may be reduced.
[0080] In any embodiment of the present invention which does not measure the realised density
corresponding to each individual pixel, the estimating for each heating element of
the individual deviation (δ
i) of the printing density from a printing density aimed at by said power applied to
each heating element (H
i) may preferably be carried out by curve fitting. As this technique is well known
to the people skilled in the art, it does not require any additional description.
[0081] In a further embodiment of the present invention, the method for printing an image
by thermal sublimation is characterised in that the distant pixels wherefrom the printing
density in a flat field print is measured are variably distant in one direction, e.g.
in either horizontal direction (see Fig. 19.4) either in vertical direction (see Fig.
19.3), or are variably distant in two perpendicular directions, preferably in horizontal
and in vertical direction (see Fig. 19.5).
[0082] In a still further embodiment of the present invention, the method is characterised
in that the pixels wherefrom the printing density in a flat field print is measured,
correspond to clustered pixels _comprising individual pixels aggregated or clinged
together (see Fig. 20)_, having either a fixed number (see Fig. 20.1 to 20.3, 20.5
to 20.7) of pixels or a variable number (see Fig. 20.4) of pixels.
[0083] It may be clear that in case of clustered pixels, a more conventional densitometer
_e.g. with a conventional circular spot of a diametre 3 to 5 mm_ may be used and that
the capacity of the memory may be reduced economically. It also may be clear that
in case all individual pixels are measured, the highest accuracy may result. It also
follows that in case distant clusters are measured, the capacity of the memory further
may be reduced even more economically; and that in case of variably distant clusters,
possible sytematic faults also may be reduced.
[0084] In a still further embodiment of the present invention, the method is characterised
in that the clustered pixels are aggregated into a rectangular or a quasi-rectangular
spot (see Figs. 20.1 to 20.6) or into a circular spot (see Fig. 20.7).
[0085] In a next embodiment of the present invention, the method for printing an image by
thermal sublimation is characterised in that the initial cluster on a line wherefrom
the printing density in a flat field print is measured, is located either in a fixed
position (see Figs. 20.1 and 20.2; 20.4 to 20.7), either in a (phase) shifted position
(see Figs. 20.3)
In a still further embodiment of the present invention, the method is characterised
in that consecutive sets of clustered pixels are distant, either periodically distant
(see Figs. 20.1 and 20.2, 20.4 or 20.5) or variably distant (see Fig. 20.3 and 20.6).
[0086] In a still further embodiment of the present invention, the consecutive sets of clustered
pixels are variably distant in one direction, e.g. in horizontal direction (see Fig.
20.3) or in vertical direction, or are variably distant in two perpendicular directions,
preferably in horizontal and in vertical direction.
[0087] In a still further embodiment of the present invention, the method is characterised
in that consecutive sets of clustered pixels are partly overlapping (see Figs. 20.6
and 20.7).
[0088] In a still further embodiment of the present invention, the method for printing an
image by thermal sublimation is characterised in that a memory means (MEM_C) for holding
a density correction means M
i,d comprises a floppy disk drive fitted for cooperating with a floppy disk for holding
a density correction means M
i,d for each heating element H
i to be used to correct the input image data while printing.
[0089] In a still further embodiment of the present invention, the method for printing an
image by thermal sublimation is characterised by the step of storing the estimates
for each heating element of the deviation (δ
i) of the printing density (D
i,p) from a printing density D
i,t aimed at by said power applied to each heating element in a memory means that comprises
a floppy disk.
[0090] In a still further embodiment of the present invention, the method for printing an
image by thermal sublimation is characterised by the step of storing the values (e.g.
2000 Ω, 2500 Ω ) of the electrical resistances of the (e.g. 2880) different heating
elements in a memory means that comprises a floppy disk.
[0091] Both last mentioned embodiments have the specific advantage that, if the thermal
head is accurately measured while leaving the manufactury, it may be accompagnied
with a floppy disk holding only a moderate number of measured values (e.g. 2880).
At the first starting up of the printer installed at an end-user, this floppy disk
has to be introduced in a floppy disk drive of the printer, and preferably copied
on a hard disk of the printer. Thereafter, at every starting up of the installed printer,
said moderate number of measured values (e.g. 2880) may be read on the hard disk of
the printer and may be followed by an automatically generating of the density correction
means M
i,d described hereabove.
[0092] As the method of the present invention provides a remarkable eveness in the printing
density across the headwidth, said method is very well suited to be used in medical
diagnosis. Further, the printing may be applied in graphic representations, in facsimile
transmission of documents etc. This invention may be used as well for greyscale thermal
sublimation printing as well as for colour thermal sublimation printing.
1. Method for printing an image by thermal sublimation, comprising the steps of:
1) supplying a stream of uncorrected input data Ii,u to a processing unit of a thermal printer having a line type thermal head with a
plurality of heating elements Hi;
2) obtaining density correction means Mi,d for improving across-the-head uneveness in the printing density according to the
following steps:
a) -activating each heating element with image input data, further indicated as "power
compensated input data" Ii,p , so that a same time-averaged power is generated in each heating element to obtain
a flat field print;
b) -measuring in said flat field print the printing density (Di,p) of pixels (or "picture elements") corresponding to heating elements;
c) -estimating for each heating element the deviation (δi) of the printing density from a printing density aimed at by said power applied to
each heating element;
d) -calculating for each heating element a density correction means Mi,d taking into account said deviation (δi) in printing density; and
e) -storing each of said density correction means Mi,d individually to each heating element into a memory means (MEM_C);
3) combining for each individual heating element the respective uncorrected input
data Ii,u with the respective density correction means Mi,d;
4) providing the thus corrected data Ii,c to the thermal head for reproducing the image.
2. A method according to claim 1, wherein said pixels of which the printing density is
measured correspond to individual heating elements.
3. A method according to claim 1, wherein said pixels of which the printing density is
measured correspond to clustered pixels, comprising pixels aggregated or clinged together,
having either a fixed number of pixels or a variable number of pixels.
4. A method according to claim 3, wherein the clustered pixels of which the printing
density is measured form a rectangular, a quasi-rectangular or a circular cluster
of pixels.
5. A method according to claim 3 or 4, wherein consecutive sets of clustered pixels are
partly overlapping.
6. A method according to any of the claims 2 to 4, wherein the initial pixel or the initial
cluster on a line wherefrom the printing density in a flat field print is measured,
is located either in a fixed position, or in a shifted position.
7. A method according to any of the claims 2 to 4, wherein said pixels of which the printing
density is measured correspond to distant pixels which are either periodically distant
or variably distant or to clustered pixels which are either periodically distant or
variably distant.
8. A method according to claim 7, wherein the distant pixels or the distant clusters
wherefrom the printing density in a flat field print is measured are distant in one
direction, or are distant in two perpendicular directions.
9. A method according to claim 4 or 8, wherein said estimating for each heating element
of the deviation (δi) of the printing density from a printing density aimed at by said power applied to
each heating element (Hi) is carried out by curve fitting.
10. A method according to claim 1, wherein said density correction means Mi,d is a density correction row Ri,d and that said memory means is a power map (POWER MAP_D, ref 151).
11. A method according to claim 1, wherein said density correction means Mi,d is a density correction factor Ci,d and that said memory means is a lookup table (LUT_D, ref 161) .
12. A method according to any preceding claim, wherein the activation of the heating elements
is executed duty cycled pulsewise.
13. A method according to any preceding claim, wherein said activating of each heating
element is preceded by retrieving, from a memory means in the printer, a predetermined
power value and by adjusting the maximum power available for each heating element
to said predetermined power value.
14. A method according to claim 13, wherein said adjusting of the power available for
each heating element to said predetermined power value, is realised by adjusting the
available printing power of each heating element to the power that can be dissipated
in the heating element with the highest value of resistance of all heating elements,
by commonly adjusting the strobe duty cycle to all heating elements.
15. A method according to claim 14, wherein said adjusting of the maximum power available
for each heating element to said predetermined power value, is followed by equalising
the available printing power of each heating element and realised by equidistant skipping
to each heating element an individual apt number of strobe pulses.
16. A method according to claim 10 or 11, wherein said estimating for each heating element
of the deviation (δi) in printing density (D) is represented by the difference from a desired density,
or calculated relative to Dmin and/or Dmax calculated relative to the ratio (Di,p-Dmin,p)/(Dmax-Dmin,p).
17. A method according to claim 11, wherein said density correction factor C
i,d for transforming the input data I
i,u to each heating element, is calculated according to the formula
or according to the formula
or according to the formula
wherein Φ is a fitting parameter.
18. A method according to any of the claims 1 to 17, wherein said memory means for holding
a density correction means Mi,d comprises a floppy disk drive fitted for cooperating with a floppy disk for holding
a density correction means Mi,d for each heating element to be used to correct the input data while printing.
19. A method according to any of the claims 1 to 17, further comprising the step of storing
in a memory means that comprises a floppy disk, the estimates for each heating element
of the deviation (δi) of the printing density from a printing density aimed at by said power applied to
each heating element .
20. A method according to any of the claims 1 to 17, further comprising the step of storing
in a memory means that comprises a floppy disk, the values of the electrical resistances
of the different heating elements.