Commun. Comput. Phys., 12 (2012), pp. 261-283.

A New Variational Model with Dual Level Set Functions for Selective Segmentation

Lavdie Rada 1, Ke Chen 1*

1 Centre for Mathematical Imaging Techniques (CMIT) and Department of Mathematical Sciences, The University of Liverpool, Peach Street, Liverpool L69 7ZL, United Kingdom.

Received 19 January 2011; Accepted (in revised version) 21 June 2011
Available online 30 January 2012


In this paper we present a selective segmentation model using a dual level set variational formulation. Our variational model aims to segment all objects with one level set function (global) and the selected object, which is the closest to the geometric constraints (markers), with another level set (local). It is a combination of edge detection, markers distance function and active contour without edges. Experimental results show that our model is more robust than previous work.

AMS subject classifications: 62H35, 65N22, 65N55, 74G65, 74G75

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Key words: Image selective segmentation, level set function, Euler-Lagrange equation, 2D image segmentation, re-initialization.

*Corresponding author.
Email: (L. Rada), (K. Chen)

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