Image decomposition combining staircase reduction and texture extraction

Tony F. Chan; Selim Esedoglu; Frederick E. Park

doi:10.1016/j.jvcir.2006.12.004

Image decomposition combining staircase reduction and texture extraction

Tony F. Chan, Selim Esedoglu, Frederick E. Park^*

^*Corresponding author for this work

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

105 Scopus citations

Abstract

This paper proposes a natural and efficient way to achieve staircase reduction in texture extraction models of image processing. Moreover, we propose a precise framework for this amalgamation. In a sense, we utilize the best of both worlds: (I) the use of higher order derivatives through a variant of the Chambolle-Lions inf convolution energy (an image decomposition model in itself) along with (II) approximations to Meyer's G and E norms including the H^-1 negative norm for ameliorating staircasing in image decomposition and restoration problems.

Original language	English (US)
Pages (from-to)	464-486
Number of pages	23
Journal	Journal of Visual Communication and Image Representation
Volume	18
Issue number	6
DOIs	https://doi.org/10.1016/j.jvcir.2006.12.004
State	Published - Dec 2007
Externally published	Yes

Keywords

Denoising
Dual methods
Image decomposition
Oscillating patterns
Staircase reduction
Texture

ASJC Scopus subject areas

Signal Processing
Media Technology
Computer Vision and Pattern Recognition
Electrical and Electronic Engineering

Access to Document

10.1016/j.jvcir.2006.12.004

Cite this

@article{6ee4bb0b0b7f4173ac116a8489a33e72,

title = "Image decomposition combining staircase reduction and texture extraction",

abstract = "This paper proposes a natural and efficient way to achieve staircase reduction in texture extraction models of image processing. Moreover, we propose a precise framework for this amalgamation. In a sense, we utilize the best of both worlds: (I) the use of higher order derivatives through a variant of the Chambolle-Lions inf convolution energy (an image decomposition model in itself) along with (II) approximations to Meyer's G and E norms including the H-1 negative norm for ameliorating staircasing in image decomposition and restoration problems.",

keywords = "Denoising, Dual methods, Image decomposition, Oscillating patterns, Staircase reduction, Texture",

author = "Chan, {Tony F.} and Selim Esedoglu and Park, {Frederick E.}",

year = "2007",

month = dec,

doi = "10.1016/j.jvcir.2006.12.004",

language = "English (US)",

volume = "18",

pages = "464--486",

journal = "Journal of Visual Communication and Image Representation",

issn = "1047-3203",

publisher = "Academic Press Inc.",

number = "6",

}

TY - JOUR

T1 - Image decomposition combining staircase reduction and texture extraction

AU - Chan, Tony F.

AU - Esedoglu, Selim

AU - Park, Frederick E.

PY - 2007/12

Y1 - 2007/12

N2 - This paper proposes a natural and efficient way to achieve staircase reduction in texture extraction models of image processing. Moreover, we propose a precise framework for this amalgamation. In a sense, we utilize the best of both worlds: (I) the use of higher order derivatives through a variant of the Chambolle-Lions inf convolution energy (an image decomposition model in itself) along with (II) approximations to Meyer's G and E norms including the H-1 negative norm for ameliorating staircasing in image decomposition and restoration problems.

AB - This paper proposes a natural and efficient way to achieve staircase reduction in texture extraction models of image processing. Moreover, we propose a precise framework for this amalgamation. In a sense, we utilize the best of both worlds: (I) the use of higher order derivatives through a variant of the Chambolle-Lions inf convolution energy (an image decomposition model in itself) along with (II) approximations to Meyer's G and E norms including the H-1 negative norm for ameliorating staircasing in image decomposition and restoration problems.

KW - Denoising

KW - Dual methods

KW - Image decomposition

KW - Oscillating patterns

KW - Staircase reduction

KW - Texture

UR - http://www.scopus.com/inward/record.url?scp=35448969357&partnerID=8YFLogxK

U2 - 10.1016/j.jvcir.2006.12.004

DO - 10.1016/j.jvcir.2006.12.004

M3 - Article

AN - SCOPUS:35448969357

SN - 1047-3203

VL - 18

SP - 464

EP - 486

JO - Journal of Visual Communication and Image Representation

JF - Journal of Visual Communication and Image Representation

IS - 6

ER -

Image decomposition combining staircase reduction and texture extraction

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this