Recording holograms with diagonal coding on binary spatial light modulators for pattern recognition

Alain Bergeron; Gilbert V. April; Henri H. Arsenault

doi:10.1364/AO.29.001652

Applied Optics
Vol. 29,
Issue 11,
pp. 1652-1657
(1990)
•https://doi.org/10.1364/AO.29.001652

Recording holograms with diagonal coding on binary spatial light modulators for pattern recognition

Alain Bergeron, Gilbert V. April, and Henri H. Arsenault

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Alain Bergeron, Gilbert V. April, and Henri H. Arsenault, "Recording holograms with diagonal coding on binary spatial light modulators for pattern recognition," Appl. Opt. 29, 1652-1657 (1990)

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Abstract

The performance of computer-generated holographic matched filters recorded on 128 × 128 pixel supports was studied experimentally, with the objective of recording holograms on spatial light modulators such as the Semetex SIGHT-MOD for rotation-invariant pattern recognition. A new method of diagonal coding is introduced. This method yields good results, as it allows a more accurate phase quantization. Experimental results from computer simulations show that high speed rotation-invariant recognition of simple shapes is possible with such holograms.

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ϕ		position
−π	$\frac{- 3 π}{4}$	a	(intermediate)
$\frac{- 3 π}{4}$	$\frac{- π}{4}$	b	(normal)
$\frac{- π}{4}$	$\frac{π}{4}$	c	(intermediate)
$\frac{π}{4}$	$\frac{3 π}{4}$	d	(normal)
$\frac{3 π}{4}$	π	e	(intermediate)

Letter	Theoretical	Horizontal	Diagonal
E	1.000	1.000	1.000
E(π/8)	0.909	2.347	1.035
E(π/4)	0.872	3.497	1.002
A	0.358	1.096	0.326
U	0.215	1.228	0.248
G	0.339	1.103	0.314
N	0.298	0.770	0.287

Letter	Error (Horizontal)	Error (Diagonal)
E	0.000	0.000
E(π/8)	1.438	0.091
E(π/4)	2.625	0.130
A	0.738	0.032
U	1.013	0.033
G	0.764	0.025
N	0.472	0.011
Mean error:	1.007	0.046

Aircraft	Diagonal	Theoretical	Error
Space Shuttle	1.000	1.000	0.000
Space Shuttle 45°	1.272	0.967	0.305
Space Shuttle 90°	0.935	0.999	0.064
F102a	0.640	0.697	0.057
Lightening	0.603	0.647	0.044
Space Shuttle OD	0.578	0.520	0.058
Glider	0.606	0.487	0.119
Sst	0.796	0.478	0.318
X29	0.634	0.423	0.211
MEAN			0.131

ϕ		position
−π	$\frac{- 3 π}{4}$	a	(intermediate)
$\frac{- 3 π}{4}$	$\frac{- π}{4}$	b	(normal)
$\frac{- π}{4}$	$\frac{π}{4}$	c	(intermediate)
$\frac{π}{4}$	$\frac{3 π}{4}$	d	(normal)
$\frac{3 π}{4}$	π	e	(intermediate)

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Applied Optics