Anisotropic diffusion of color images

Guillermo Sapiro; Dario L. Ringach

Anisotropic diffusion of color images

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

A new approach for anisotropic diffusion processing of color images is proposed. The main idea of the algorithm is to facilitate diffusion of the image in the direction parallel to color edges. The direction of maximal and minimal color change at each point is computed using the first fundamental form of the image in (L*a*b*) color space. The image Φ evolves according to an anisotropic diffusion flow given by δΦ/δt equals g(λ ₊, λ _-)δ ²Φ/δξ ², where ξ is the direction of minimal color change. The diffusion coefficient, g(λ ₊, λ _-), is a function of the eigenvalues of the first fundamental form, which represent the maximal and minimal rates of color change. Examples for real color images are presented.

Original language	English (US)
Title of host publication	Proceedings of SPIE - The International Society for Optical Engineering
Editors	Bernice E. Rogowitz, Jan P. Allebach
Pages	471-482
Number of pages	12
State	Published - 1996
Externally published	Yes
Event	Human Vision and Electronic Imaging - San Jose, CA, USA Duration: Jan 29 1996 → Feb 1 1996

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	2657
ISSN (Print)	0277-786X

Conference

Conference	Human Vision and Electronic Imaging
City	San Jose, CA, USA
Period	1/29/96 → 2/1/96

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

Cite this

@inproceedings{2a9e5c271d37447983f90720722f3fc0,

title = "Anisotropic diffusion of color images",

abstract = "A new approach for anisotropic diffusion processing of color images is proposed. The main idea of the algorithm is to facilitate diffusion of the image in the direction parallel to color edges. The direction of maximal and minimal color change at each point is computed using the first fundamental form of the image in (L*a*b*) color space. The image Φ evolves according to an anisotropic diffusion flow given by δΦ/δt equals g(λ +, λ -)δ 2Φ/δξ 2, where ξ is the direction of minimal color change. The diffusion coefficient, g(λ +, λ -), is a function of the eigenvalues of the first fundamental form, which represent the maximal and minimal rates of color change. Examples for real color images are presented.",

author = "Guillermo Sapiro and Ringach, {Dario L.}",

year = "1996",

language = "English (US)",

isbn = "081942031X",

series = "Proceedings of SPIE - The International Society for Optical Engineering",

pages = "471--482",

editor = "Rogowitz, {Bernice E.} and Allebach, {Jan P.}",

booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",

note = "Human Vision and Electronic Imaging ; Conference date: 29-01-1996 Through 01-02-1996",

}

Anisotropic diffusion of color images. / Sapiro, Guillermo; Ringach, Dario L.
Proceedings of SPIE - The International Society for Optical Engineering. ed. / Bernice E. Rogowitz; Jan P. Allebach. 1996. p. 471-482 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 2657).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Anisotropic diffusion of color images

AU - Sapiro, Guillermo

AU - Ringach, Dario L.

PY - 1996

Y1 - 1996

N2 - A new approach for anisotropic diffusion processing of color images is proposed. The main idea of the algorithm is to facilitate diffusion of the image in the direction parallel to color edges. The direction of maximal and minimal color change at each point is computed using the first fundamental form of the image in (L*a*b*) color space. The image Φ evolves according to an anisotropic diffusion flow given by δΦ/δt equals g(λ +, λ -)δ 2Φ/δξ 2, where ξ is the direction of minimal color change. The diffusion coefficient, g(λ +, λ -), is a function of the eigenvalues of the first fundamental form, which represent the maximal and minimal rates of color change. Examples for real color images are presented.

AB - A new approach for anisotropic diffusion processing of color images is proposed. The main idea of the algorithm is to facilitate diffusion of the image in the direction parallel to color edges. The direction of maximal and minimal color change at each point is computed using the first fundamental form of the image in (L*a*b*) color space. The image Φ evolves according to an anisotropic diffusion flow given by δΦ/δt equals g(λ +, λ -)δ 2Φ/δξ 2, where ξ is the direction of minimal color change. The diffusion coefficient, g(λ +, λ -), is a function of the eigenvalues of the first fundamental form, which represent the maximal and minimal rates of color change. Examples for real color images are presented.

UR - http://www.scopus.com/inward/record.url?scp=0029709752&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029709752&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0029709752

SN - 081942031X

SN - 9780819420312

T3 - Proceedings of SPIE - The International Society for Optical Engineering

SP - 471

EP - 482

BT - Proceedings of SPIE - The International Society for Optical Engineering

A2 - Rogowitz, Bernice E.

A2 - Allebach, Jan P.

T2 - Human Vision and Electronic Imaging

Y2 - 29 January 1996 through 1 February 1996

ER -

Anisotropic diffusion of color images

Abstract

Publication series

Conference

All Science Journal Classification (ASJC) codes

Other files and links

Fingerprint

Cite this