Phase Field Models and Higher-Order Active Contours

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 meeti...

• Type: Conference
• Year: 2005
• Where: ICCV
• Authors: Marie Rochery, Ian Jermyn, Josiane Zerubia
• Keywords: Active Contour, Active Contour Energies, Computer Vision, ICCV 2005, Phase field Model