Commun. Comput. Phys., 7 (2010), pp. 759-778.

Image Selective Segmentation under Geometrical Constraints Using an Active Contour Approach

Noor Badshah 1, Ke Chen 1*

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

Received 3 February 2009; Accepted (in revised version) 10 September 2009
Available online 3 November 2009


In this paper we propose a new model for segmentation of an image under some geometrical constraints in order to detect special regions of interest. Our work is based on the recent work by Gout et al. [Numer. Algorithms, 39 (2005), pp. 155-173 and 48 (2008), pp. 105-133] using geodesic active contours models, by combining it with the idea of a piecewise constant Mumford-Shah model as with the non-selective Chan-Vese segmentation. Numerical tests show that our method is more robust than the previous works.

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

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Key words: Active contours, energy minimization, partial differential equations, segmentation, level sets, geometric constraints.

*Corresponding author.
Email: (N. Badshah), (K. Chen)

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