Minimization of detail-preserving regularization functional by Newton's method with continuation

Raymond H. CHAN; Chung Wa HO; Chun Yee LEUNG; Mila NIKOLOVA

doi:10.1109/ICIP.2005.1529703

Minimization of detail-preserving regularization functional by Newton's method with continuation

Raymond H. CHAN^*, Chung Wa HO, Chun Yee LEUNG, Mila NIKOLOVA

^*Corresponding author for this work

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

21 Citations (Scopus)

Abstract

Recently, a two-phase scheme for removing salt-and-pepper impulse noise has been proposed [14], In the first phase, an adaptive median filter is used to identify pixels which are likely to be contaminated by noise (noise candidates). In the second phase, the image is restored by minimizing a specialized regularization functional that applies only to those selected noise candidates. As an extension of this work, we propose an efficient method to accomplish the second phase. The speed of our method can be double as that of the method proposed in [14] for images contaminated by 30% salt-and-pepper noise and will be faster for higher noise level.

Original language	English
Title of host publication	Proceedings of the IEEE International Conference on Image Processing 2005, ICIP 2005
Publisher	IEEE Computer Society
Pages	122-125
Number of pages	4
ISBN (Print)	9780780391345
DOIs	https://doi.org/10.1109/ICIP.2005.1529703
Publication status	Published - 2005
Externally published	Yes
Event	IEEE International Conference on Image Processing 2005, ICIP 2005 - Genova, Italy Duration: 14 Sept 2005 → 14 Sept 2005

Conference

Conference	IEEE International Conference on Image Processing 2005, ICIP 2005
Country/Territory	Italy
City	Genova
Period	14/09/05 → 14/09/05

Keywords

Aadaptive median filter
Continuation
Edgepreserving regularization
Impulse noise
Newton's method

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10.1109/ICIP.2005.1529703

Cite this

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title = "Minimization of detail-preserving regularization functional by Newton's method with continuation",

abstract = "Recently, a two-phase scheme for removing salt-and-pepper impulse noise has been proposed [14], In the first phase, an adaptive median filter is used to identify pixels which are likely to be contaminated by noise (noise candidates). In the second phase, the image is restored by minimizing a specialized regularization functional that applies only to those selected noise candidates. As an extension of this work, we propose an efficient method to accomplish the second phase. The speed of our method can be double as that of the method proposed in [14] for images contaminated by 30% salt-and-pepper noise and will be faster for higher noise level.",

keywords = "Aadaptive median filter, Continuation, Edgepreserving regularization, Impulse noise, Newton's method",

author = "CHAN, {Raymond H.} and HO, {Chung Wa} and LEUNG, {Chun Yee} and Mila NIKOLOVA",

year = "2005",

doi = "10.1109/ICIP.2005.1529703",

language = "English",

isbn = "9780780391345",

pages = "122--125",

booktitle = "Proceedings of the IEEE International Conference on Image Processing 2005, ICIP 2005",

publisher = "IEEE Computer Society",

address = "United States",

note = "IEEE International Conference on Image Processing 2005, ICIP 2005 ; Conference date: 14-09-2005 Through 14-09-2005",

}

CHAN, RH, HO, CW, LEUNG, CY & NIKOLOVA, M 2005, Minimization of detail-preserving regularization functional by Newton's method with continuation. in Proceedings of the IEEE International Conference on Image Processing 2005, ICIP 2005., 1529703, IEEE Computer Society, pp. 122-125, IEEE International Conference on Image Processing 2005, ICIP 2005, Genova, Italy, 14/09/05. https://doi.org/10.1109/ICIP.2005.1529703

Minimization of detail-preserving regularization functional by Newton's method with continuation. / CHAN, Raymond H.; HO, Chung Wa; LEUNG, Chun Yee et al.
Proceedings of the IEEE International Conference on Image Processing 2005, ICIP 2005. IEEE Computer Society, 2005. p. 122-125 1529703.

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

TY - GEN

T1 - Minimization of detail-preserving regularization functional by Newton's method with continuation

AU - CHAN, Raymond H.

AU - HO, Chung Wa

AU - LEUNG, Chun Yee

AU - NIKOLOVA, Mila

PY - 2005

Y1 - 2005

N2 - Recently, a two-phase scheme for removing salt-and-pepper impulse noise has been proposed [14], In the first phase, an adaptive median filter is used to identify pixels which are likely to be contaminated by noise (noise candidates). In the second phase, the image is restored by minimizing a specialized regularization functional that applies only to those selected noise candidates. As an extension of this work, we propose an efficient method to accomplish the second phase. The speed of our method can be double as that of the method proposed in [14] for images contaminated by 30% salt-and-pepper noise and will be faster for higher noise level.

AB - Recently, a two-phase scheme for removing salt-and-pepper impulse noise has been proposed [14], In the first phase, an adaptive median filter is used to identify pixels which are likely to be contaminated by noise (noise candidates). In the second phase, the image is restored by minimizing a specialized regularization functional that applies only to those selected noise candidates. As an extension of this work, we propose an efficient method to accomplish the second phase. The speed of our method can be double as that of the method proposed in [14] for images contaminated by 30% salt-and-pepper noise and will be faster for higher noise level.

KW - Aadaptive median filter

KW - Continuation

KW - Edgepreserving regularization

KW - Impulse noise

KW - Newton's method

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DO - 10.1109/ICIP.2005.1529703

M3 - Conference paper (refereed)

AN - SCOPUS:33749630481

SN - 9780780391345

SP - 122

EP - 125

BT - Proceedings of the IEEE International Conference on Image Processing 2005, ICIP 2005

PB - IEEE Computer Society

T2 - IEEE International Conference on Image Processing 2005, ICIP 2005

Y2 - 14 September 2005 through 14 September 2005

ER -

Minimization of detail-preserving regularization functional by Newton's method with continuation

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