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Proceedings Paper

Continuation method for total variation denoising problems
Author(s): Tony F. Chan; H. M. Zhou; Raymond Hon-fu Chan
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Paper Abstract

The denoising problem can be solved by posing it as a constrained minimization problem. The objective function is the TV norm of the denoised image whereas the constraint is the requirement that the denoised image does not deviate too much from the observed image. The Euler-Lagrangian equation corresponding to the minimization problem is a nonlinear equation. The Newton method for such equation is known to have a very small domain of convergence. In this paper, we propose to couple the Newton method with the continuation method. Using the Newton-Kantorovich theorem, we give a bound on the domain of convergence. Numerical results are given to illustrate the convergence.

Paper Details

Date Published: 7 June 1995
PDF: 12 pages
Proc. SPIE 2563, Advanced Signal Processing Algorithms, (7 June 1995); doi: 10.1117/12.211408
Show Author Affiliations
Tony F. Chan, Univ. of California/Los Angeles (United States)
H. M. Zhou, Chinese Univ. of Hong Kong (Hong Kong)
Raymond Hon-fu Chan, Chinese Univ. of Hong Kong (Hong Kong)

Published in SPIE Proceedings Vol. 2563:
Advanced Signal Processing Algorithms
Franklin T. Luk, Editor(s)

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