Image processing via the beltrami operator

R. Kimmel, R. Malladi, N. Sochen

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

25 Scopus citations


We present a framework for enhancing images while preserving either the edge or the orientation-dependent texture information present in them. We do this by treating images as manifolds in a feature-space. This geometrical interpretation leads to a natural way for grey level, color, movies, volumetric medical data, and color-texture image enhancement. Following this, we invoke the Polyakov action from high-energy physics, and develop a minimization procedure through a geometric flow. This flow, based on manifold volume minimization yields a natural enhancement procedure. We apply this framework to edge preserving denoising of grey value and color images, for volumetric medical data, and orientation-preserving flows for grey level and color texture images.

Original languageEnglish
Title of host publicationComputer Vision - ACCV 1998 - 3rd Asian Conference on Computer Vision, Proceedings
EditorsRoland Chin, Ting-Chuen Pong
PublisherSpringer Verlag
Number of pages8
ISBN (Print)3540639306, 9783540639305
StatePublished - 1997
Event3rd Asian Conference on Computer Vision, ACCV 1998 - Hong Kong, China
Duration: 8 Jan 199810 Jan 1998

Publication series

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


Conference3rd Asian Conference on Computer Vision, ACCV 1998
CityHong Kong


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