A modified quasi-Newton diagonal update algorithm for total variation denoising problems and nonlinear monotone equations with applications in compressive sensing-Reference-Cited by-同舟云学术

A modified quasi-Newton diagonal update algorithm for total variation denoising problems and nonlinear monotone equations with applications in compressive sensing

Published:2015-02-16 Issue:3 Volume:22 Page:500-522
ISSN:1070-5325
Container-title:Numerical Linear Algebra with Applications
language:en
Short-container-title:Numer. Linear Algebra Appl.

Author:

Zhang Benxin¹,Zhu Zhibin²

Affiliation:

1. School of Electronic Engineering and Automation, Guangxi Key Laboratory of Automatic Detecting Technology and Instruments; Guilin University of Electronic Technology; Guilin 541004 China

2. School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation; Guilin University of Electronic Technology; Guilin 541004 China

Publisher

Wiley

Subject

Applied Mathematics,Algebra and Number Theory

Reference34 articles.

1. Mathematical Problems in Image Processing

2. Image Processing and Analysis

3. Nonlinear total variation based noise removal algorithms;Rudin;Physica D,1992

4. Image recovery via total variation minimization and related problems;Chambolle;Numerische Mathematik,1997

5. A nonlinear primal-dual method for total variation-based image restoration;Chan;SIAM Journal on Scientific Computing,1999

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