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SIAM J. on Scientific Computing / Volume 28 / Issue 6

SIAM J. Sci. Comput. 28, pp. 2248-2265 (18 pages)

Semi‐Implicit Covolume Method in 3D Image Segmentation

S. Corsaro, K. Mikula, A. Sarti, and F. Sgallari

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We introduce a three‐dimensional (3D) semi‐implicit complementary volume numerical scheme for solving the level set formulation of (Riemannian) mean curvature flow problem. We apply the scheme to segmentation of objects (with interrupted edges) in 3D images. The method is unconditionally stable and efficient regarding computational times. The study of its experimental order of convergence on 3D examples shows its second order accuracy for smooth solutions and first order accuracy for highly singular solutions with vanishing gradients as arising in image segmentation.

© 2006 Society for Industrial and Applied Mathematics

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KEYWORDS

AMS Subject Headings

65M60, 65M12, 68U10

PUBLICATION DATA

ISSN

1064-8275 (print)  
1095-7197 (online)

Publisher

$abstract.society.value is a Member of CrossRef Society for Industrial and Applied Mathematics

ARTICLE DATA

History
Received January 30, 2006
Accepted June 27, 2006
Published online December 11, 2006
Digital Object Identifier
http://dx.doi.org/10.1137/060651203

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