Phase field models and higher-order active contours

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

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, October). Phase field models and higher-order active contours. Presented at IEEE International Conference on Computer Vision (ICCV), Beijing, China

• Presentation Conference Type: Conference Paper (published)
• Conference Name: IEEE International Conference on Computer Vision (ICCV)
• 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
• Public URL: https://durham-repository.worktribe.com/output/1157877
• Additional Information: Date of Conference: 17-21 October 2005