Semi-implicit covolume method in 3D image segmentation

被引：43
|
作者：
Corsaro, S.
Mikula, K.
Sarti, A.
Sgallari, F.
机构：
[1] CNR, Inst High Performance Comp & Networking, I-80131 Naples, Italy
[2] Slovak Tech Univ Bratislava, Dept Math, Bratislava 81368, Slovakia
[3] Univ Bologna, DEIS, I-40136 Bologna, Italy
[4] Univ Bologna, Dept Math, I-40127 Bologna, Italy
来源：
SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2006年 / 28卷 / 06期
关键词：
partial differential equations; numerical methods; image segmentation; semi-implicit scheme; complementary volume method;
D O I：
10.1137/060651203
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：2248 / 2265
页数：18
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