Light scattering by film grain noise: application to grey level optical pseudocoloring

J. A. Mendez; M. Nieto-Vesperinas

doi:10.1364/AO.22.002068

Applied Optics
Vol. 22,
Issue 14,
pp. 2068-2074
(1983)
•https://doi.org/10.1364/AO.22.002068

Light scattering by film grain noise: application to grey level optical pseudocoloring

J. A. Mendez and M. Nieto-Vesperinas

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J. A. Mendez and M. Nieto-Vesperinas, "Light scattering by film grain noise: application to grey level optical pseudocoloring," Appl. Opt. 22, 2068-2074 (1983)

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Abstract

An optical method for grey level pseudocolor encoding in real time based on the scattering properties of film grain noise is proposed. The light scattered by the film is studied by means of a lognormal model applied to the wave front emerging from the object. Three beams, each with a primary color, are used to illuminate the original black-and-white picture, giving a pseudocolored image.

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	Scattering Angle θ
Sample	0°	5°	8°	10°	12°	15°	18°	20°	25°	30°	35°	40°	45°	50°
1	0.817	1.311	1.075	0.879	0.860	0.633	0.538	0.387	0.298	0.165	0.111	0.071	0.059	—
2	0.682	1.823	1.367	1.250	1.040	0.828	0.703	0.563	0.374	0.219	0.149	0.092	0.076	0.052
3	0.543	2.275	1.90	1.564	1.667	1.220	0.887	0.700	0.498	0.277	0.224	0.143	0.098	0.082
4	0.356	2.220	1.875	1.798	1.461	1.256	0.907	0.944	0.569	0.340	0.248	0.168	0.126	0.092
5	0.211	1.829	1.813	1.453	1.347	1.124	0.926	0.774	0.589	0.406	0.268	0.167	0.135	0.107
6	0.109	1.357	1.288	1.105	1.130	0.862	0.829	0.654	0.505	0.344	0.219	0.164	0.146	0.102
7	0.052	0.833	0.887	0.799	0.733	0.669	0.525	0.534	0.392	0.313	0.215	0.159	0.138	0.105
8	0.023	0.638	0.623	0.620	0.508	0.452	0.367	0.354	0.243	0.193	0.169	0.131	0.114	0.098
9	0.009	0.335	0.295	0.278	0.272	0.241	0.244	0.206	0.177	0.136	0.118	0.097	0.084	0.077
10	0.002	0.164	0.163	0.142	0.152	0.139	0.124	0.112	0.097	0.087	0.077	0.069	0.065	—

	Scattering angle θ
Sample	0°	5°	8°	10°	12°	15°	18°	20°	25°	30°	35°	40°	45°	50°
1	0 744	1 051	0.934	0.790	0.678	0.613	0.485	0.38	0.296	0.192	0.123	0.093	0.068	0.046
2	0 653	1 263	1.07	1.17	0.863	0.727	0.603	0.46	0.347	0.218	0.158	0.101	0.082	0.061
3	0 543	1 332	1.41	1.18	1.114	0.943	0.848	0.636	0.486	0.291	0.213	0.143	0.110	0.072
4	0 367	1 451	1.39	1.47	1.217	1.048	0.876	0.767	0.543	0.364	0.256	0.169	0.127	0.081
5	0 230	1 412	1.252	1.39	1.19	1.107	0.921	0.724	0.582	0.331	0.265	0.172	0.138	0.112
6	0 121	1.123	0.953	1.108	1.287	0.897	0.786	0.612	0.503	0.321	0.217	0.162	0.143	0.107
7	0 053	0 751	0.712	0.612	0.614	0.645	0.528	0.398	0.324	0.247	0.172	0.143	0.125	0.098
8	0 024	0 512	0.394	0.463	0.412	0.401	0.389	0.312	0.241	0.167	0.126	0.124	0.096	0.086
9	0 098	0 231	0.287	0.262	0.256	0.197	0.212	0.204	0.148	0.120	0.113	0.520	0.083	0.078
10	0.031	0.132	0.175	0.137	0.123	0.127	0.103	0.103	0.081	0.067	0.063	0.048	0.058	0.064

Sample	σ_D	T(μ)	$\bar{D}$	$D_{S}$	$D_{d}$	T_a
1	0.035	0.318	0.051	0.088	0.05	0.95
2	0.038	0.356	0.082	0.166	0.08	0.91
3	0.051	0.318	0.143	0.265	0.14	0.85
4	0.064	0.285	0.245	0.448	0.24	0.76
5	0.076	0.247	0.377	0.676	0.37	0.64
6	0.092	0.225	0.590	0.962	0.58	0.51
7	0.131	0.159	0.830	1.284	0.81	0.39
8	0.136	0.174	1.060	1.630	1.04	0.30
9	0.146	0.159	1.324	2.036	1.30	0.22
10	0.205	0.123	1.708	2.585	1.66	0.14

	Scattering Angle θ
Sample	0°	5°	8°	10°	12°	15°	18°	20°	25°	30°	35°	40°	45°	50°
1	0.817	1.311	1.075	0.879	0.860	0.633	0.538	0.387	0.298	0.165	0.111	0.071	0.059	—
2	0.682	1.823	1.367	1.250	1.040	0.828	0.703	0.563	0.374	0.219	0.149	0.092	0.076	0.052
3	0.543	2.275	1.90	1.564	1.667	1.220	0.887	0.700	0.498	0.277	0.224	0.143	0.098	0.082
4	0.356	2.220	1.875	1.798	1.461	1.256	0.907	0.944	0.569	0.340	0.248	0.168	0.126	0.092
5	0.211	1.829	1.813	1.453	1.347	1.124	0.926	0.774	0.589	0.406	0.268	0.167	0.135	0.107
6	0.109	1.357	1.288	1.105	1.130	0.862	0.829	0.654	0.505	0.344	0.219	0.164	0.146	0.102
7	0.052	0.833	0.887	0.799	0.733	0.669	0.525	0.534	0.392	0.313	0.215	0.159	0.138	0.105
8	0.023	0.638	0.623	0.620	0.508	0.452	0.367	0.354	0.243	0.193	0.169	0.131	0.114	0.098
9	0.009	0.335	0.295	0.278	0.272	0.241	0.244	0.206	0.177	0.136	0.118	0.097	0.084	0.077
10	0.002	0.164	0.163	0.142	0.152	0.139	0.124	0.112	0.097	0.087	0.077	0.069	0.065	—

	Scattering angle θ
Sample	0°	5°	8°	10°	12°	15°	18°	20°	25°	30°	35°	40°	45°	50°
1	0 744	1 051	0.934	0.790	0.678	0.613	0.485	0.38	0.296	0.192	0.123	0.093	0.068	0.046
2	0 653	1 263	1.07	1.17	0.863	0.727	0.603	0.46	0.347	0.218	0.158	0.101	0.082	0.061
3	0 543	1 332	1.41	1.18	1.114	0.943	0.848	0.636	0.486	0.291	0.213	0.143	0.110	0.072
4	0 367	1 451	1.39	1.47	1.217	1.048	0.876	0.767	0.543	0.364	0.256	0.169	0.127	0.081
5	0 230	1 412	1.252	1.39	1.19	1.107	0.921	0.724	0.582	0.331	0.265	0.172	0.138	0.112
6	0 121	1.123	0.953	1.108	1.287	0.897	0.786	0.612	0.503	0.321	0.217	0.162	0.143	0.107
7	0 053	0 751	0.712	0.612	0.614	0.645	0.528	0.398	0.324	0.247	0.172	0.143	0.125	0.098
8	0 024	0 512	0.394	0.463	0.412	0.401	0.389	0.312	0.241	0.167	0.126	0.124	0.096	0.086
9	0 098	0 231	0.287	0.262	0.256	0.197	0.212	0.204	0.148	0.120	0.113	0.520	0.083	0.078
10	0.031	0.132	0.175	0.137	0.123	0.127	0.103	0.103	0.081	0.067	0.063	0.048	0.058	0.064

Abstract

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Figures (11)

Tables (3)

Equations (21)

Applied Optics