Design of finite impulse response deconvolution filters

Richard Vollmerhausen

doi:10.1364/AO.49.005814

Design of finite impulse response deconvolution filters

Richard Vollmerhausen

Applied Optics
Vol. 49,
Issue 30,
pp. 5814-5827
(2010)
•https://doi.org/10.1364/AO.49.005814

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Richard Vollmerhausen, "Design of finite impulse response deconvolution filters," Appl. Opt. 49, 5814-5827 (2010)

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Related Topics
Table of Contents Category
- Image Processing
Optics & Photonics Topics
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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
- Frequency filtering (070.2615)
- Deconvolution (100.1830)
- Image enhancement (100.2980)
- Image reconstruction-restoration (100.3020)

About this Article
History
- Original Manuscript: July 12, 2010
- Revised Manuscript: August 30, 2010
- Manuscript Accepted: September 10, 2010
- Published: October 15, 2010

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Abstract

This paper describes inverse filters that restore imagery with minimal artifacts. Deconvolution kernels are obtained by windowing Wiener-type inverse filters (WTIFs). Windowed WTIFs exhibit good restoration properties. Constraining the size of the WTIF kernel is necessary because of the edge effects associated with discrete convolutions. Spatial windowing is necessary even if processing is performed in the frequency domain. The kernel design procedure is described, and the theory is explained. The performance penalty associated with limiting kernel size is discussed and quantified.

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Pix	Value	Pix	Value	Pix	Value	Pix	Value	Pix	Value
0.02	0.999	0.22	0.859	0.42	0.565	0.62	0.267	0.82	0.077
0.04	0.995	0.24	0.834	0.44	0.532	0.64	0.242	0.84	0.065
0.06	0.989	0.26	0.808	0.46	0.501	0.66	0.219	0.86	0.054
0.08	0.980	0.28	0.780	0.48	0.469	0.68	0.196	0.88	0.044
0.10	0.969	0.30	0.752	0.50	0.438	0.70	0.175	0.90	0.036
0.12	0.956	0.32	0.722	0.52	0.407	0.72	0.155	0.92	0.029
0.14	0.941	0.34	0.691	0.54	0.377	0.74	0.137	0.94	0.022
0.16	0.923	0.36	0.660	0.56	0.348	0.76	0.120	0.96	0.017
0.18	0.904	0.38	0.629	0.58	0.320	0.78	0.104	0.98	0.012
0.20	0.882	0.40	0.597	0.60	0.293	0.80	0.090	1.00	0.008

	$k < 16$		$k > 16$
	b	S	b	S
blur 1	1	14	2	12
blur 2	1	8	2	8
blur 3	2	4	2	4

Pix	Value	Pix	Value	Pix	Value	Pix	Value	Pix	Value
0.02	0.999	0.22	0.859	0.42	0.565	0.62	0.267	0.82	0.077
0.04	0.995	0.24	0.834	0.44	0.532	0.64	0.242	0.84	0.065
0.06	0.989	0.26	0.808	0.46	0.501	0.66	0.219	0.86	0.054
0.08	0.980	0.28	0.780	0.48	0.469	0.68	0.196	0.88	0.044
0.10	0.969	0.30	0.752	0.50	0.438	0.70	0.175	0.90	0.036
0.12	0.956	0.32	0.722	0.52	0.407	0.72	0.155	0.92	0.029
0.14	0.941	0.34	0.691	0.54	0.377	0.74	0.137	0.94	0.022
0.16	0.923	0.36	0.660	0.56	0.348	0.76	0.120	0.96	0.017
0.18	0.904	0.38	0.629	0.58	0.320	0.78	0.104	0.98	0.012
0.20	0.882	0.40	0.597	0.60	0.293	0.80	0.090	1.00	0.008

	$k < 16$		$k > 16$
	b	S	b	S
blur 1	1	14	2	12
blur 2	1	8	2	8
blur 3	2	4	2	4

Abstract

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Cited By

Figures (25)

Tables (2)

Equations (18)

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