AuthorsJ. Lie, O. M. Lysaker and X. Tai
TitleA Piecewise Constant Level Set Framework
StatusPublished
Publication TypeJournal Article
Year of Publication2005
JournalInternational Journal of Numerical Analysis and Modeling
Volume2
Number4
Pagination422-438
Abstract

In this work we discuss variants of a PDE based level set method. Traditionally interfaces are represented by the zero level set of continuous level set functions. We instead use piecewise constant level set functions, and let interfaces be represented by discontinuities. Some of the properties of the standard level set function are preserved in the proposed method. Using the methods for interface problems, we minimize a smooth locally convex functional under a constraint. We show numerical results using the methods for image segmentation.

Citation KeyLie.2005.2