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Phase field models and higher-order active contours

Rochery, M.; Jermyn, I.H.; Zerubia, J.

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Authors

M. Rochery

J. Zerubia



Abstract

The representation and modelling of regions is an important topic in computer vision. In this paper, we represent a region via a level set of a 'phase field' function. The function is not constrained, e.g. to be a distance function; nevertheless, phase field energies equivalent to classical active contour energies can be defined. They represent an advantageous alternative to other methods: a linear representation space; ease of implementation (a PDE with no reinitialization); neutral initialization; greater topological freedom. We extend the basic phase field model with terms that reproduce 'higher-order active contour' energies, a powerful way of including prior geometric knowledge in the active contour framework via nonlocal interactions between contour points, in addition to the above advantages, the phase field greatly simplifies the analysis and implementation of the higher-order terms. We define a phase field model that favours regions composed of thin arms meeting at junctions, combine this with image terms, and apply the model to the extraction of line networks from remote sensing images.

Citation

Rochery, M., Jermyn, I., & Zerubia, J. (2005). Phase field models and higher-order active contours. In Tenth IEEE International Conference on Computer Vision : proceedings : Beijing, China, October 17-20, 2005 (970-976). https://doi.org/10.1109/iccv.2005.189

Conference Name IEEE International Conference on Computer Vision (ICCV)
Conference Location Beijing, China
Start Date Oct 17, 2005
End Date Oct 21, 2005
Publication Date Oct 21, 2005
Deposit Date Aug 12, 2011
Publicly Available Date May 10, 2016
Pages 970-976
Series ISSN 1550-5499
Book Title Tenth IEEE International Conference on Computer Vision : proceedings : Beijing, China, October 17-20, 2005.
ISBN 076952334X9
DOI https://doi.org/10.1109/iccv.2005.189
Additional Information Date of Conference: 17-21 October 2005

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