Comparison of reference image generation techniques for projection moiré interferometry

Debasish Mishra; Jonathan D. Blotter

doi:10.1364/AO.40.005624

Comparison of reference image generation techniques for projection moiré interferometry

Debasish Mishra and Jonathan D. Blotter

Applied Optics
Vol. 40,
Issue 31,
pp. 5624-5631
(2001)
•https://doi.org/10.1364/AO.40.005624

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Debasish Mishra and Jonathan D. Blotter, "Comparison of reference image generation techniques for projection moiré interferometry," Appl. Opt. 40, 5624-5631 (2001)

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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Interferometry (120.3180)
- Moire' techniques (120.4120)

About this Article
History
- Original Manuscript: December 13, 2000
- Revised Manuscript: July 23, 2001
- Published: November 1, 2001

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Abstract

Three different approaches of generating reference images for projection moiré interferometry are compared. An interpolation-based phase-shift technique that phase shifts the actual reference images is shown to reduce error by over 25% and to reduce processing time compared with the common cosine-wave- and square-wave-based approaches.

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Angle of Rotation (deg)	Cosine Wave	Square Wave	Interpolation
+10	5.18	5.16	4.47
+5	5.53	5.45	3.41
+2.5	7.20	7.05	3.15
-10	2.88	2.87	3.60
-5	1.86	1.90	3.35
-2.5	1.34	1.34	3.06

Angle of Rotation (deg)	rms (%)	Range of rms Percentage Error
Angle of Rotation (deg)	rms (%)	>95	75–95	50–75	25–50	<25
Cosine function
+10	12.06	53.94	9.49	10.65	19.23	13.93
+5	15.51	52.61	8.40	13.07	15.47	13.83
+2.5	33.11	54.13	20.50	11.30	6.87	8.59
-10	14.74	40.42	12.33	21.38	19.87	10.13
-5	24.23	49.09	22.46	13.43	8.85	7.79
-2.5	36.76	62.25	15.47	9.02	8.58	6.25
Square-wave function
+10	12.44	54.17	9.82	11.82	15.06	13.61
+5	15.69	52.37	9.04	14.00	14.45	13.51
+2.5	33.05	55.36	19.29	10.97	6.80	8.96
-10	14.39	40.49	12.05	22.60	19.43	9.90
-5	23.71	49.42	22.37	13.26	8.64	7.86
-2.5	36.38	62.20	15.76	8.86	8.56	6.20
Interpolation method
+10	9.21	51.08	14.28	16.85	12.60	10.46
+5	3.20	16.69	15.60	26.49	22.16	22.34
+2.5	5.52	22.16	3.76	24.46	39.40	20.26
-10	4.58	45.32	13.49	8.00	18.71	16.02
-5	4.22	17.02	4.87	21.32	43.19	19.12
-2.5	4.94	25.66	10.08	13.11	19.93	33.82

Angle of Rotation (deg)	rms (%)	Range of rms Percentage Error
Angle of Rotation (deg)	rms (%)	>95	75–95	50–75	25–50	<25
Cosine function
+10	14.42	34.23	41.96	9.14	7.01	9.21
+5	17.14	63.00	16.66	7.58	4.29	9.51
+2.5	35.68	67.34	11.31	7.30	5.86	9.39
-10	11.71	56.63	14.37	14.10	9.00	7.80
-5	21.73	64.65	13.88	8.14	7.63	6.99
-2.5	34.70	64.89	14.15	8.33	8.13	5.99
Square-wave function
+10	14.57	31.46	45.25	9.31	6.97	8.41
+5	17.09	60.93	19.07	7.55	3.70	9.63
+2.5	35.13	67.56	11.52	7.07	5.63	9.36
-10	11.67	55.82	13.15	15.66	9.62	7.82
-5	21.42	64.25	13.83	8.51	7.50	7.18
-2.5	34.46	64.71	14.46	8.26	8.12	5.91
Interpolation method
+10	8.91	25.42	52.45	12.24	1.90	8.79
+5	1.99	38.17	15.08	13.63	17.74	17.65
+2.5	4.66	57.76	9.52	10.36	9.27	14.97
-10	2.40	39.73	9.27	10.59	21.19	21.89
-5	1.99	35.59	8.41	14.27	29.60	15.65
-2.5	3.66	47.49	17.54	24.13	8.90	4.40

Angle of Rotation (deg)	rms (%)	Range of rms Percentage Error
Angle of Rotation (deg)	rms (%)	>95	75–95	50–75	25–50	<25
Cosine function
+10	5.01	14.89	7.63	27.13	35.69	20.24
+5	5.27	40.04	9.68	11.23	13.53	27.97
+2.5	8.16	42.08	7.55	8.95	18.23	25.28
-10	2.05	45.47	13.23	15.10	20.81	9.06
-5	1.89	45.82	12.28	13.92	19.41	11.87
-2.5	7.44	46.91	8.41	9.95	15.86	20.79
Square-wave function
+10	5.29	14.58	8.90	26.25	31.23	23.39
+5	5.44	40.94	9.49	10.78	11.91	28.60
+2.5	8.42	42.32	8.02	6.82	15.93	28.12
-10	2.29	42.04	14.39	13.66	22.40	11.04
-5	2.03	45.23	13.16	12.84	18.92	12.73
-2.5	7.48	44.55	9.18	11.34	14.50	22.27

Angle of Rotation (deg)	Cosine Wave	Square Wave	Interpolation
+10	5.18	5.16	4.47
+5	5.53	5.45	3.41
+2.5	7.20	7.05	3.15
-10	2.88	2.87	3.60
-5	1.86	1.90	3.35
-2.5	1.34	1.34	3.06

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