NDLI: Nonlinear image restoration using FFT-based conjugate gradient methods

Content Provider	IEEE Xplore Digital Library
Author	Ng, M.K.
Copyright Year	1995
Description	Author affiliation: Comput. Sci. Lab., Australian Nat. Univ., Canberra, ACT, Australia (Ng, M.K.)
Abstract	Nonlinear image restoration finds applications in a wide variety of research areas. In this paper, we consider nonlinear space-invariant imaging system with additive noise. The restored images can be found by solving weighted Toeplitz least squares problems. Since the normal equations matrices are non-Toeplitz in general, the fast Fourier transforms (FFTs) cannot be utilized in the evaluation of their inverses. We employ the preconditioned conjugate gradient method (PCG) with the FFT-based preconditioners to solve regularized linear systems arising from nonlinear image restoration problems. Thus we precondition these linear systems in the Fourier domain, while iterating in the spatial domain. Numerical examples are reported on a ground-based atmospheric imaging problem to demonstrate the fast convergence of the FFT-based PCG method.
Starting Page	41
Ending Page	44
File Size	435960
Page Count	4
File Format	PDF
ISBN	0818673109
DOI	10.1109/ICIP.1995.537410
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1995-10-23
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Image restoration Gradient methods Nonlinear equations Least squares methods Least squares approximation Deconvolution Convolution Image sensors Taylor series Nonlinear filters
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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