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: Journal Publications › Journal Article (refereed) › peer-review

53 Citations (Scopus)

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
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
Publication status	Published - Oct 1999
Externally published	Yes

Keywords

Image deblurring
Preconditioned conjugate gradient method
Total variation

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10.1109/83.791976

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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",

volume = "8",

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journal = "IEEE Transactions on Image Processing",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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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 - Journal Article (refereed)

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

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