Color component transformations for optical pattern recognition

V. Kober; V. Lashin; I. Moreno; J. Campos; L. P. Yaroslavsky; M. J. Yzuel

doi:10.1364/JOSAA.14.002656

Color component transformations for optical pattern recognition

V. Kober, V. Lashin, I. Moreno, J. Campos, L. P. Yaroslavsky, and M. J. Yzuel

Journal of the Optical Society of America A
Vol. 14,
Issue 10,
pp. 2656-2669
(1997)
•https://doi.org/10.1364/JOSAA.14.002656

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V. Kober, V. Lashin, I. Moreno, J. Campos, L. P. Yaroslavsky, and M. J. Yzuel, "Color component transformations for optical pattern recognition," J. Opt. Soc. Am. A 14, 2656-2669 (1997)

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Abstract

Several elementwise component transformations performed over primary color image components (RGB) before optical multichannel correlations are proposed to improve real-time multispectral pattern recognition. The first transformation is deduced from the theory of the optimal filter for object location and recognition extended to multispectral images. Several modifications of this transformation are studied. We investigate these transformations in terms of noise robustness and discrimination capability. Computer simulation with noisy input images for various kinds of correlation filter are presented to illustrate improvement of color pattern recognition by using the proposed transformations. Experimental results are also presented.

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		Test Color Image
Transformation	Type of Correlation	B1	B2	B3	B4 (T) ^c	DC
RGB	A ^a	1.97	2.08	1.54	2.18	0.05
	I ^b	0.66	0.79	0.56	0.73	$- 0.07$
CNT	A	0.03	0.18	0.05	0.81	0.78
	I	0.03	0.16	0.05	0.28	0.42
CNT–N	A	2.08	0.26	0.61	6.26	0.66
	I	0.91	0.33	0.24	2.12	0.57
CW	A	0.10	0.42	0.15	0.94	0.55
	I	0.04	0.18	0.11	0.32	0.42
CW–N	A	3.14	0.63	0.42	6.20	0.49
	I	1.07	0.23	0.21	2.08	0.48
QSVD	A	1.13	0.38	0.90	10.5	0.89
	I	0.66	1.14	0.55	3.57	0.68
QSVD–N	A	2.40	0.61	1.09	16.8	0.85
	I	1.40	1.38	0.57	5.63	0.75

		Test Color Image
Transformation	Type of Correlation	B1	B2	B3	B4 (T) ^c	DC
RGB	A ^a	688	635	541	734	0.06
	I ^b	230	218	183	251	0.08
CNT	A	4.65	1.51	0.41	62.6	0.92
	I	2.39	4.50	1.74	21.8	0.79
CNT–N	A	225	64.0	112	645	0.65
	I	84.4	45.9	39.7	220	0.61
CW	A	8.55	4.14	2.81	91.1	0.90
	I	3.04	3.09	2.65	31.4	0.90
CW–N	A	410	8.68	12.7	843	0.51
	I	151	40.0	23.3	290	0.47
QSVD	A	113	68.9	110	1089	0.89
	I	81.6	124	79.5	401	0.69
QSVD–N	A	125	32.2	94.7	1926	0.93
	I	82.2	88.7	59.2	667	0.86

		Test Color Image
Transformation	Type of Correlation	B1	B2	B3	B4 (T) ^c	DC
RGB	A ^a	0.0225	0.0182	0.0154	0.0250	0.09
	I ^b	0.0106	0.0079	0.0067	0.0123	0.14
CNT	A	0.0002	0.0002	0.0001	0.0071	0.96
	I	0.0001	0.0004	0.0001	0.0029	0.84
CNT–N	A	0.0220	0.0116	0.0125	0.0751	0.70
	I	0.0092	0.0069	0.0047	0.0280	0.67
CW	A	0.0006	0.0001	0.0003	0.0127	0.95
	I	0.0003	0.0002	0.0004	0.0060	0.93
CW–N	A	0.0538	0.0002	0.0002	0.1310	0.58
	I	0.0248	0.0018	0.0006	0.0628	0.60
QSVD	A	0.0061	0.0043	0.0068	0.1106	0.93
	I	0.0047	0.0062	0.0042	0.0375	0.83
QSVD–N	A	0.0144	0.0045	0.0118	0.4050	0.96
	I	0.0121	0.0098	0.0069	0.1396	0.91

	Filter
	CMF		POF		OC
	A	I	A	I	A	I
RGB	-	-	-	-	-	-
CNT	+	-	+	+	+	+
CNT–N	+	+	+	+	+	+
CW	+	-	+	+	+	+
CW–N	+	+	+	-	+	+
QSVD	+	-	+	+	+	+
QSVD–N	+	-	+	+	+	+

		Test Color Image
Transformation	Type of Correlation	B1	B2	B3	B4 (T) ^c	DC
RGB	A ^a	1.97	2.08	1.54	2.18	0.05
	I ^b	0.66	0.79	0.56	0.73	$- 0.07$
CNT	A	0.03	0.18	0.05	0.81	0.78
	I	0.03	0.16	0.05	0.28	0.42
CNT–N	A	2.08	0.26	0.61	6.26	0.66
	I	0.91	0.33	0.24	2.12	0.57
CW	A	0.10	0.42	0.15	0.94	0.55
	I	0.04	0.18	0.11	0.32	0.42
CW–N	A	3.14	0.63	0.42	6.20	0.49
	I	1.07	0.23	0.21	2.08	0.48
QSVD	A	1.13	0.38	0.90	10.5	0.89
	I	0.66	1.14	0.55	3.57	0.68
QSVD–N	A	2.40	0.61	1.09	16.8	0.85
	I	1.40	1.38	0.57	5.63	0.75

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Equations (59)

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