Using beltrami framework for orientation diffusion in image processing

Ron Kimmel, Nir Sochen

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


This paper addresses the problem of enhancement of noisy scalar and vector fields, when they are known to be constrained to a manifold. As an example, we address selective smoothing of orientation using the geometric Beltrami framework. The orientation vector field is represented accordingly as the embedding of a two dimensional surface in the spatial-feature manifold. Orientation diffusion is treated as a canonical example where the feature (orientation in this case) space is the unit circle S1. Applications to color analysis are discussed and numerical experiments demonstrate again the power of this framework for non-trivial geometries in image processing.

Original languageEnglish
Title of host publicationVisual Form 2001 - 4th International Workshop on Visual Form, IWVF4, Proceedings
EditorsCarlo Arcelli, Gabriella Sanniti di Baja, Luigi P. Cordella
PublisherSpringer Verlag
Number of pages10
ISBN (Print)3540421203, 9783540421207
StatePublished - 2001
Event4th International Workshop on Visual Form, IWVF4 2001 - Capri, Italy
Duration: 28 May 200130 May 2001

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


Conference4th International Workshop on Visual Form, IWVF4 2001


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