Computer-aided design of dither signals for binary display of images

J. P. Allebach; R. N. Stradling

doi:10.1364/AO.18.002708

Applied Optics
Vol. 18,
Issue 15,
pp. 2708-2713
(1979)
•https://doi.org/10.1364/AO.18.002708

Computer-aided design of dither signals for binary display of images

J. P. Allebach and R. N. Stradling

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J. P. Allebach and R. N. Stradling, "Computer-aided design of dither signals for binary display of images," Appl. Opt. 18, 2708-2713 (1979)

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Abstract

The quality of binary images displayed using ordered dither is strongly dependent on the spatial arrangement of the thresholds in the dither signal. In the frequency domain, this dependence may be viewed as a consequence of aliasing. A computer-aided approach to the design of dither signals that uses a pairwise exchange algorithm to minimize a measure of susceptibility to aliasing is described. The susceptibility measure may be chosen to take into account many factors that affect perceived image quality. Experimental results are presented that illustrate the potential of the method.

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Equations (16)

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11	43	16	48	3	35	7	39
59	27	64	32	51	19	55	23
5	37	6	38	10	42	12	44
53	21	54	22	58	26	60	28
15	47	2	34	14	46	4	36
63	31	50	18	62	30	52	20
1	33	9	41	8	40	13	45
49	17	57	25	56	24	61	29

	n = 0	1	2	3	4
m = 0	1.000	0.016	0.063	0.016	0.250
	1.000	0.022	0.047	0.022	0.250
1	0.016	0.031	0.016	0.031	0.016
	0.022	0.035	0.056	0.035	0.022
2	0.063	0.016	0.125	0.016	0.063
	0.016	0.049	0.063	0.049	0.016
3	0.016	0.031	0.016	0.031	0.016
	0.022	0.035	0.056	0.035	0.022
4	0.250	0.016	0.063	0.016	0.500
	0.250	0.022	0.047	0.022	0.500

1	33	8	40	14	46	6	38
49	17	56	24	62	30	54	22
9	41	3	35	2	34	10	42
57	25	51	19	50	18	58	26
5	37	12	44	11	43	4	36
53	21	60	28	59	27	52	20
13	45	15	47	16	48	7	39
61	29	63	31	64	32	55	23

	n = 0	1	2	3	4
m = 0	1.000	0.016	0.063	0.016	0.250
	1.000	0.049	0.031	0.049	0.250
1	0.016	0.031	0.016	0.031	0.016
	0.044	0.044	0.066	0.035	0.044
2	0.063	0.016	0.125	0.016	0.063
	0.031	0.035	0.016	0.035	0.031
3	0.016	0.031	0.016	0.031	0.016
	0.044	0.035	0.066	0.044	0.044
4	0.250	0.016	0.063	0.016	0.500
	0.250	0.049	0.031	0.049	0.500

11	43	16	48	3	35	7	39
59	27	64	32	51	19	55	23
5	37	6	38	10	42	12	44
53	21	54	22	58	26	60	28
15	47	2	34	14	46	4	36
63	31	50	18	62	30	52	20
1	33	9	41	8	40	13	45
49	17	57	25	56	24	61	29

11	43	16	48	3	35	7	39
59	27	64	32	51	19	55	23
5	37	6	38	10	42	12	44
53	21	54	22	58	26	60	28
15	47	2	34	14	46	4	36
63	31	50	18	62	30	52	20
1	33	9	41	8	40	13	45
49	17	57	25	56	24	61	29

1	33	8	40	14	46	6	38
49	17	56	24	62	30	54	22
9	41	3	35	2	34	10	42
57	25	51	19	50	18	58	26
5	37	12	44	11	43	4	36
53	21	60	28	59	27	52	20
13	45	15	47	16	48	7	39
61	29	63	31	64	32	55	23

11	43	16	48	3	35	7	39
59	27	64	32	51	19	55	23
5	37	6	38	10	42	12	44
53	21	54	22	58	26	60	28
15	47	2	34	14	46	4	36
63	31	50	18	62	30	52	20
1	33	9	41	8	40	13	45
49	17	57	25	56	24	61	29

1	33	8	40	14	46	6	38
49	17	56	24	62	30	54	22
9	41	3	35	2	34	10	42
57	25	51	19	50	18	58	26
5	37	12	44	11	43	4	36
53	21	60	28	59	27	52	20
13	45	15	47	16	48	7	39
61	29	63	31	64	32	55	23

11	43	16	48	3	35	7	39
59	27	64	32	51	19	55	23
5	37	6	38	10	42	12	44
53	21	54	22	58	26	60	28
15	47	2	34	14	46	4	36
63	31	50	18	62	30	52	20
1	33	9	41	8	40	13	45
49	17	57	25	56	24	61	29

1	33	8	40	14	46	6	38
49	17	56	24	62	30	54	22
9	41	3	35	2	34	10	42
57	25	51	19	50	18	58	26
5	37	12	44	11	43	4	36
53	21	60	28	59	27	52	20
13	45	15	47	16	48	7	39
61	29	63	31	64	32	55	23

11	43	16	48	3	35	7	39
59	27	64	32	51	19	55	23
5	37	6	38	10	42	12	44
53	21	54	22	58	26	60	28
15	47	2	34	14	46	4	36
63	31	50	18	62	30	52	20
1	33	9	41	8	40	13	45
49	17	57	25	56	24	61	29

1	33	8	40	14	46	6	38
49	17	56	24	62	30	54	22
9	41	3	35	2	34	10	42
57	25	51	19	50	18	58	26
5	37	12	44	11	43	4	36
53	21	60	28	59	27	52	20
13	45	15	47	16	48	7	39
61	29	63	31	64	32	55	23

Abstract

Cited By

Figures (6)

Tables (4)

Equations (16)

Applied Optics

11	43	16	48	3	35	7	39
59	27	64	32	51	19	55	23
5	37	6	38	10	42	12	44
53	21	54	22	58	26	60	28
15	47	2	34	14	46	4	36
63	31	50	18	62	30	52	20
1	33	9	41	8	40	13	45
49	17	57	25	56	24	61	29

1	33	8	40	14	46	6	38
49	17	56	24	62	30	54	22
9	41	3	35	2	34	10	42
57	25	51	19	50	18	58	26
5	37	12	44	11	43	4	36
53	21	60	28	59	27	52	20
13	45	15	47	16	48	7	39
61	29	63	31	64	32	55	23

11	43	16	48	3	35	7	39
59	27	64	32	51	19	55	23
5	37	6	38	10	42	12	44
53	21	54	22	58	26	60	28
15	47	2	34	14	46	4	36
63	31	50	18	62	30	52	20
1	33	9	41	8	40	13	45
49	17	57	25	56	24	61	29

1	33	8	40	14	46	6	38
49	17	56	24	62	30	54	22
9	41	3	35	2	34	10	42
57	25	51	19	50	18	58	26
5	37	12	44	11	43	4	36
53	21	60	28	59	27	52	20
13	45	15	47	16	48	7	39
61	29	63	31	64	32	55	23