[0001] This invention relates to optical correlators, and in particular to optical correlation
using a Joint Transform Correlator. In a Joint Transform Correlator light from a first
spatial light modulator, which creates a coherent light phase or contrast image, is
collected by a first lens or lens system and is interferred in the Fourier transform
plane with light collected by that lens or lens system from a second spatial light
modulator located alongside the first. A hologram recording device is located at this
Fourier transform plane, and this, in its turn, is illuminated with coherent light
which is collected by a second lens or lens system to form a correlation image on
a two-dimensional image receiving photo-electronic transducer in the Fourier transform
plane of this second lens or lens system. The transducer is typically provided by
a photodetector array, but at least in principle could alternatively be provided by
a single large area detector whose surface is scanned to extract the image information
after the manner employed in certain types of video camera. For an analysis of the
operation principles of a Joint Transform Correlator reference may be made to the
article by D. Casasent, entitled "Optical Computing Techniques for Radar and Sonar
Signal Processing", appearing in the Proceedings of the Society of Photo-Instrumentation
Engineers Vol.118 (1977), 100.
[0002] One of the applications of optical correlators is to determine whether a particular
object, hereinafter referred to as the quarry, is present in a particular scene under
investigation which will generally contain other extraneous objects and/or clutter
noise. If the quarry is present in the investigation scene, the correlator will normally
be required to identify its location in that scene. These functions of identification
and location are performed by correlating the investigation scene with a reference
scene that contains a reference object or archetype of the quarry.
[0003] Optical correlators perform well when there is a perfect match between quarry amongst
its background 'clutter' in the investigation scene and the archetype in the reference
scene. In a Joint Transform Correlator the position of the quarry can be ascertained
from the position of the correlation peak in the output plane at which is situated
the two-dimensional transducer. However, small deviations from a perfect match between
quarry and archetype, such as orientational misalignments and scale variations, result
in severe degradations of - the correlation peak. Hitherto, a limited amount of information
concerning these deviations has been extracted by performing an analysis of the shape
of the correlation peak; whereas the present invention is concerned with a correlation
system in which the deviations are reduced by means of a servo-feedback system which
employs the correlation signal output to modify the display of the archetype in the
reference scene so as to optimise the correlation peak.
[0004] According to the invention there is provided a joint transform correlator having
first and second spatial light modulators for forming adjacent first and second coherent
light phase or contrast images in the input or object plane of the correlator, a dynamic
hologram recorder spaced from the object plane, and an intervening first lens or lens
system located such that the dynamic hologram recorder lies in the Fourier transform
plane of the coherent light images, a coherent light source for illuminating the dynamic
hologram recorder, a two-dimensional image receiving photoelectronic transducer, and
an intervening second lens or lens system located such that the transducer lies in
the Fourier transform plane of the dynamic hologram recorder, wherein the second of
the spatial light modulators is adapted to be electronically controlled using a servo-feedback
system to change its image to maximise the sharpness of the correlation image formed
on the transducer.
[0005] There follows a description of an optical correlator embodying the invention in a
preferred form. The description refers to the accompanying drawings in which :
[0006]
Figure 1 is a schematic diagram of the correlator, and
Figure 2a and 2b depict how the correlator of Figure 1 is modified to include a correction
element to suppress the systematic error introduced by extraneous distortion of the
wavefront of light reflected by spatial light modulators in the correlator.
[0007] The basic components of the Joint Transform Correlator of Figure 1 are a first coherent
light source 10, first and second spatial light modulators 11 and 12 for displaying
respectively the quarry scene and the reference scene, a first lens or lens system
13, a dynamic hologram recorder 14 for the temporary storage of a hologram in the
Fourier transform plane, a second coherent light source 15, a second lens or lens
system 16, a CCD photodiode array 17 in the detection or correlation plane, and a
servo-feedback system 18 for controlling, with the output from the CCD array, the
size and orientation of the archetype displayed by the second spatial light modulator
12.
[0008] Associated with the first coherent light source 10, a laser, is a beam expander 19
to broaden its output sufficiently to flood the two spatial light modulators 11 and
12. These devices are of reflex rather than transmission type, and hence the light
from the laser 10 is directed on to the devices via a beam splitter 20. (If transmission
type devices were employed the beam splitter would be omitted and the position of
the laser appropriately changed.) A preferred form of spatial light modulator is a
liquid crystal cell matrix addressed via an active silicon backing to the liquid crystal
layer. Examples of such devices are deserted in our Patent Specification No. 2118347A.
[0009] The dynamic hologram recorder may be a degenerate four-wave mixer, for instance of
the bismuth silicon oxide type. It is not necessary however, for this function for
the two waves involved in 'writing' to have the same frequency as the two used for
'reading', i.e. the emission wavelength of the second coherent light source 15, also
a laser, is not necessarily the same as that of the first laser 10.
[0010] For the dynamic hologram recorder the choice of different wavelengths enables the
use of a thermal type four wave-mixer in which a thermal pattern is created by the
absorption by the medium of the light of the writing wavelength, while a different
wavelength, at which the medium is substantially transparent, is employed for reading
so that the reading operation shall leave the thermal pattern substantially undisturbed.
One class of such thermal four-wave mixers is provided by the class of liquid crystal
cell described in patent application No. ........ claiming priority from UK Patent
Application No. 8403228 and identified as W.A. Crossland - P.W. Ross - N. Collings
45-13-2. The second laser is, like the first laser, provided with a beam expander
21 and beam splitter 22.
[0011] The CCD photodiode array is mounted in the Fourier transform plane of the dynamic
hologram recorder formed by the second lens or lens system 16. Associated with this
array is support electronic hardware in the servo-feedback system 18 this hardware
consisting of an A/D converter, an image memory, and a microprocessor or minicomputer.
[0012] The position of the correlation spot formed on the array 17 provides information
on the location of the quarry in the scene under investigation. Normally the size
of the array 17 is smaller than the joint size of the two spatial light modulators
11 and 12, and therefore some demagnification is required in the system. This is acheived
by making the focal length f
1 of lens 13 larger than the corresponding focal length f
2 of lens 16. This provides a demagnification factor of f
2/f
l.
[0013] The essence of the correlator is that, under the control of the servo-feedback system
18, the presentation . of the archetype in the reference field as displayed by spatial
light modulator 12 is modified to provide an optimised correlation peak at the array
17. There are many different routes by which the servo-feedback system may be programmed
to achieve the optimisation.
[0014] One route is for the servo-feedback system to arrange for the displayed representation
of the archetype to be first progressively rotated to find the optimum orientation,
and then for magnitude to be progressively changed to find the optimum match of size.
[0015] An alternative route that is possible, provided that the spatial light modulator
exhibits a good dynamic range of grey-scale, is for the different orientational perspectives
to be initially presented simultaneously, rather than sequentially, by generating
a superimposed composite image. The magnitude of this composite image is progressively
changed to find the optimum scale match, and then the different orientations are presented
in sequence to find the optimum orientation match.
[0016] The amplitude of the correlation peak falls quite rapidly with mismatch of both size
and orientation. Thus typically it may be reduced by 3dB for a misalignment of 0.2
0 or a scale mismatch of 0.5%.
[0017] Under these circumstances there would need to be 1800 presentations of different
orientation to cover every possible orientation, and 100 presentations of different
scale to cover a 50% range of scale. Operation at a rate of 50 frames a second would
therefore require 1 hour to go through the whole of this repertoire. The period can
however, be significantly shortened by performing some form of multivariate analysis
upon the shape of the correlation peak instead of relying solely upon its peak amplitude.
By appropriate digital image processing techniques operating on the CCD array output
it is possible to increase the size of the orientation step from 0.2 to 2.5°, and
the size of the scale step from 0.5% to 5%. Under these circumstances the total orientation
field is covered in 72 presentations, while the scale field is covered in 10 presentations,
with the result that the whole repertoire is reduced to just under 15 seconds. For
further information concerning the potential of multivariate analysis for this application
- reference may be made to the article by F. Merkle, entitled "Hybrid Optical-Digital
Image" appearing in Proceedings of the Society of Photo-Instrumentation Engineers,
Processing System for Pattern Recognition" Vol. 422 (1983), 152. Clearly further optimisation
is possible for dedicated tasks. For instance, the presentation time for the orientation
field can be reduced in instances where the archetype is known to have some measure
of rotation symmetry.
[0018] A problem in all correlator systems is the low tolerance of the system with respect
to optical imperfections of the spatial light modulators that give rise to systematic
error/noise, which is the result of distortion the optical wavefronts transmitted
or reflected by such devices. This can be compensated by means of a holographic correction
element 24, used as indicated in Figures 2a and 2b which depict a part of the correlator
of Figure 1 modified to include such an element. This arrangement is suited to the
operation of the spatial light modulators 11 and 12 as phase image generating devices
i.e. the spatial field information is impressed on the phase of the interrogating
beam of light from the laser 10 rather than upon its amplitude.
[0019] Figure 2a depicts the arrangement employed to create the required pattern of the
correction element 24. A collimated beam of light from the laser 10 (not shown in
this Figure) is incident normally upon the spatial light modulators 11 and 12 after
transmission through the beam splitter 20. (For this purpose the laser 10 and its
beam expander 19 is required to be temporarily shifted from the position shown in
Figure 1 to the position occupied in that Figure by the lens 13.) Light which is reflected
by the spatial light modulators 11 and 12, and is reflected by the beam splitter 20
is incident normally upon the undeveloped correction element 24. Here it is arranged
to interfere with light from the laser that was first reflected by the beam splitter
20, and was then reflected by a plane mirror 25 before being transmitted through the
beam splitter 20. The plane mirror 25 is tilted at a small angle 'a' so that the two
beams interfere. The resulting interference pattern is recorded in the correction
element 24 while no data is applied to either spatial light modulator 11 or 12.
[0020] The arrangement is changed to that of Figure 2b when the interference pattern recorded
in the correction element has been fixed in the form of a phase object. The mirror
25 has been removed, the correction element is in its original position, and all the
other components of the correlator are arranged as depicted in Figure 1. There is
one exception to this, namely the laser 10 and beam expander 19 have been repositioned
so that the expanded beam is incident upon the correction element at the angle 'a'.
This is so that the light incident upon the element emerges as a diffracted beam which
is incident normally upon the spatial light modulators after reflection by the beam
splitter 20.
[0021] It is only the diffracted beam which applied the wavefront correction, and hence
it is desirable to minimise the amplitude of the undiffracted light. For this purpose
the reflectivity of the mirror should match that of the spatial light modulators.
In this context it may also be noted that bleached silver-based photographic emulsions
have been found to provide a diffraction efficiency which is surpassed by other types
of photosensitive emulsions, such as the dichromated gelatin emulsion, and hence it
may be preferred to use one of these non-silver-based emulsions where such use is
not precluded by virtue of wavelength sensitivity considerations.
1. A joint transform correlator having first and second spatial light modulators for
forming adjacent first and second coherent light phase or contrast images in the input
or object plane of the correlator, a dynamic hologram recorder spaced from the object
plane, and an intervening first lens or lens system located such that the dynamic
hologram recorder lies in the Fourier transform plane of the coherent light images,
a coherent light source for illuminating the dynamic hologram recorder, a two-dimensional
image receiving photoelectronic transducer, and an intervening second lens or lens
system located such that the transducer lies in the Fourier transform plane of the
dynamic hologram recorder, characterised in that the second of the spatial light modulators
is adapted to be electronically controlled using a servo-feedback system to change
its image to maximise the sharpness of the correlation image formed on the transducer.
2. An optical correlator as claimed in claim 1, wherein a holographic correction element
is included in the optical path to compensate for extraneous wavefront distortion
introduced by the spatial light modulators.
3. An optical correlator as claimed in claim 1 or 2, wherein the servo-feedback system
includes electronic processing means responsive not only to correlation peak amplitude
but also to shape.