Abstract
We show how the piecewise-smooth Mumford-Shah segmentation problem can be solved using the level set method of Osher and Sethian (1988). The obtained algorithm can be simultaneously used to denoise, segment, detect-extract edges, and perform active contours. The proposed model is also a generalisation of a previous active contour model without edges, proposed by the authors in Chan et al., (2001), and of its extension to the case with more than two segments for piecewise-constant segmentation Chan et al., (2000). Based on the four color theorem, we can assume that in general, at most two level set functions are sufficient to detect and represent distinct objects of distinct intensities, with triple junctions, or T-junctions.
Original language | English (US) |
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Title of host publication | Proceedings - IEEE Workshop on Variational and Level Set Methods in Computer Vision, VLSM 2001 |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 161-168 |
Number of pages | 8 |
ISBN (Electronic) | 076951278X, 9780769512785 |
DOIs | |
State | Published - 2001 |
Externally published | Yes |
Event | IEEE Workshop on Variational and Level Set Methods in Computer Vision, VLSM 2001 - Vancouver, Canada Duration: Jul 13 2001 → … |
Publication series
Name | Proceedings - IEEE Workshop on Variational and Level Set Methods in Computer Vision, VLSM 2001 |
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Conference
Conference | IEEE Workshop on Variational and Level Set Methods in Computer Vision, VLSM 2001 |
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Country/Territory | Canada |
City | Vancouver |
Period | 07/13/01 → … |
Bibliographical note
Publisher Copyright:© 2001 IEEE.
ASJC Scopus subject areas
- Computational Theory and Mathematics
- Computer Vision and Pattern Recognition