Geometric-variational approach for color image enhancement and segmentation

Ron Kimmel, Nir A. Sochen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We merge techniques developed in the Beltrami framework to deal with multi-channel, i.e. color images, and the Mumford-Shah functional for segmentation. The result is a color image enhancement and segmentation algorithm. The generalization of the Mumford-Shah idea includes a higher dimension and codimension and a novel smoothing mea- sure for the color components and for the segmenting function which is introduced via the Γ-convergence approach. We use the Γ -convergence technique to derive, through the gradient descent method, a system of coupled PDEs for the color coordinates and for the segmenting function.

Original languageEnglish
Title of host publicationScale-Space Theories in Computer Vision - 2nd International Conference, Scale-Space 1999, Proceedings
EditorsMads Nielsen, Peter Johansen, Ole Fogh Olsen, Joachim Weickert
PublisherSpringer Verlag
Pages294-305
Number of pages12
ISBN (Print)354066498X, 9783540664987
DOIs
StatePublished - 1999
Externally publishedYes
Event2nd International Conference on Scale-Space Theories in Computer Vision, 1999 - Corfu, Greece
Duration: 26 Sep 199927 Sep 1999

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1682
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference2nd International Conference on Scale-Space Theories in Computer Vision, 1999
Country/TerritoryGreece
CityCorfu
Period26/09/9927/09/99

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