Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/91725
Title: A binary level set model and some applications to Mumford-Shah image segmentation
Authors: Lie, Johan
Lysaker, Marius
Tai, Xue Cheng
Keywords: DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis
DRNTU::Engineering::Computer science and engineering::Computing methodologies::Image processing and computer vision
Issue Date: 2006
Source: Lie, J., Lysaker, M., & Tai, X. C. (2006). A binary level set model and some applications to Mumford-Shah image segmentation. IEEE Transactions on Image Processing, 15(5), 1171-1181.
Series/Report no.: IEEE transactions on image processing
Abstract: In this paper, we propose a PDE-based level set method. Traditionally, interfaces are represented by the zero level set of continuous level set functions. Instead, we let the interfaces be represented by discontinuities of piecewise constant level set functions. Each level set function can at convergence only take two values, i.e., it can only be 1 or -1; thus, our method is related to phase-field methods. Some of the properties of standard level set methods are preserved in the proposed method, while others are not. Using this new method for interface problems, we need to minimize a smooth convex functional under a quadratic constraint. The level set functions are discontinuous at convergence, but the minimization functional is smooth. We show numerical results using the method for segmentation of digital images.
URI: https://hdl.handle.net/10356/91725
http://hdl.handle.net/10220/4597
ISSN: 1057-7149
Rights: IEEE Transactions on Image Processing @ copyright 2006 IEEE. The journal's website is located at http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=1621239.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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