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ICPR
2000
IEEE
14 years 5 months ago
Stability Analysis of Medial Axis Transform under Relative Hausdorff Distance
Medial axis transform (MAT) is a basic tool for shape analysis. But, in spite of its usefulness, it has some drawbacks, one of which is its instability under the boundary perturba...
Sung Woo Choi, Seong-Whan Lee
CAD
2004
Springer
13 years 4 months ago
Linear one-sided stability of MAT for weakly injective 3D domain
Despite its usefulness in many applications, the medial axis transform (MAT) is very sensitive to the change of the boundary in the sense that, even if a shape is perturbed only s...
Sung Woo Choi, Hans-Peter Seidel
VMV
2001
130views Visualization» more  VMV 2001»
13 years 6 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 ...
Sung Woo Choi, Hans-Peter Seidel
CORR
2011
Springer
223views Education» more  CORR 2011»
12 years 11 months ago
Decentralized Formation Control Part I: Geometric Aspects
In this paper, we develop new methods for the analysis of decentralized control systems and we apply them to formation control problems. The basic set-up consists of a system with...
Mohamed-Ali Belabbas