We introduce semi-implicit complementary volume numerical
scheme for solving the level set formulation of Riemannian mean curvature flow
problem arising in image segmentation, edge detection, missing boundary
completion and subjective contour extraction. The scheme is robust and
efficient, since it is linear and it is stable in L∞
and weighted W{1,1} sense without any restriction on a time
step. The computational results related to medical image segmentation with
partly missing boundaries and subjective contours extraction are presented.
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