Cosine transform based preconditioned for total variation deblurring

Raymond H. Chan; Tony F. Chan; Chiu Kwong Wong

doi:10.1109/83.791976

Cosine transform based preconditioned for total variation deblurring

Raymond H. Chan^*, Tony F. Chan, Chiu Kwong Wong

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

53 Scopus citations

Abstract

In PDE image restoration problems, one has to invert operators which is a sum of a blurring operator and an elliptic operator with highly varying coefficient. We present a preconditioner for such operators, which can be used with the conjugate gradient (CG) method, and compare it with Vogel and Oman's product preconditioner.

Original language	English (US)
Pages (from-to)	1472-1478
Number of pages	7
Journal	IEEE Transactions on Image Processing
Volume	8
Issue number	10
DOIs	https://doi.org/10.1109/83.791976
State	Published - Oct 1999
Externally published	Yes

Keywords

Image deblurring
Preconditioned conjugate gradient method
Total variation

ASJC Scopus subject areas

Software
Computer Graphics and Computer-Aided Design

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10.1109/83.791976

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@article{2bef58bbaf3f4825af8487ce62e4cbc8,

title = "Cosine transform based preconditioned for total variation deblurring",

abstract = "In PDE image restoration problems, one has to invert operators which is a sum of a blurring operator and an elliptic operator with highly varying coefficient. We present a preconditioner for such operators, which can be used with the conjugate gradient (CG) method, and compare it with Vogel and Oman's product preconditioner.",

keywords = "Image deblurring, Preconditioned conjugate gradient method, Total variation",

author = "Chan, {Raymond H.} and Chan, {Tony F.} and Wong, {Chiu Kwong}",

year = "1999",

month = oct,

doi = "10.1109/83.791976",

language = "English (US)",

volume = "8",

pages = "1472--1478",

journal = "IEEE Transactions on Image Processing",

issn = "1057-7149",

publisher = "Institute of Electrical and Electronics Engineers",

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TY - JOUR

T1 - Cosine transform based preconditioned for total variation deblurring

AU - Chan, Raymond H.

AU - Chan, Tony F.

AU - Wong, Chiu Kwong

PY - 1999/10

Y1 - 1999/10

N2 - In PDE image restoration problems, one has to invert operators which is a sum of a blurring operator and an elliptic operator with highly varying coefficient. We present a preconditioner for such operators, which can be used with the conjugate gradient (CG) method, and compare it with Vogel and Oman's product preconditioner.

AB - In PDE image restoration problems, one has to invert operators which is a sum of a blurring operator and an elliptic operator with highly varying coefficient. We present a preconditioner for such operators, which can be used with the conjugate gradient (CG) method, and compare it with Vogel and Oman's product preconditioner.

KW - Image deblurring

KW - Preconditioned conjugate gradient method

KW - Total variation

UR - http://www.scopus.com/inward/record.url?scp=0033313733&partnerID=8YFLogxK

U2 - 10.1109/83.791976

DO - 10.1109/83.791976

M3 - Article

AN - SCOPUS:0033313733

SN - 1057-7149

VL - 8

SP - 1472

EP - 1478

JO - IEEE Transactions on Image Processing

JF - IEEE Transactions on Image Processing

IS - 10

ER -

Cosine transform based preconditioned for total variation deblurring

Abstract

Keywords

ASJC Scopus subject areas

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