The Beltrami Flow over Triangulated Manifolds

Lucero Lopez-Perez*, Rachid Deriche, Nir Sochen

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

14 Scopus citations

Abstract

In several image processing applications one has to deal with noisy images defined on surfaces, like electric impulsions or diffusion tensors on the cortex. We propose a new regularization technique for data defined on triangulated surfaces: the Beltrami flow over intrinsic manifolds. This technique overcomes the over - smoothing of the L2 and the stair-easing effects of the L1 flow for strongly noised images. To do so, we locally estimate the differential operators and then perform temporal finite differences. We present the implementation for scalar images defined in 2 dimensional manifolds and experimental results.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
EditorsMilan Sonka, Ioannis A. Kakadiaris, Jan Kybic
PublisherSpringer Verlag
Pages135-144
Number of pages10
ISBN (Print)3540226753, 9783540226758
DOIs
StatePublished - 2004
Externally publishedYes

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3117
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

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