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2001

One-sided Stability of MAT and Its Applications

9 years 1 months ago
One-sided Stability of MAT and Its Applications
Although useful in many applications, the medial axis transform (MAT) has a few fit-falls, one of which is its extreme sensitivity to the boundary perturbation. In this paper, we first summarizes the previous attempts to get around this by bounding the one-sided Hausdorff distance of the MAT with respect to the boundary perturbation. We illustrate these results and their optimality with various examples. Finally, we suggest an application of them in pruning. In particular, we discuss the advantage of the results for the domains which are not weakly injective, over those for the weakly injective ones.
Sung Woo Choi, Hans-Peter Seidel
Added 31 Oct 2010
Updated 31 Oct 2010
Type Conference
Year 2001
Where VMV
Authors Sung Woo Choi, Hans-Peter Seidel
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