0000000000358657

AUTHOR

F. Chazal

showing 2 related works from this author

Stability and Finiteness Properties of Medial Axis and Skeleton

2004

The medial axis is a geometric object associated with any bounded open set in \Bbb R^n which has various applications in computer science. We study it from a mathematical point of view. We give some results about its geometrical structure when the open set is subanalytic and we prove that it is stable under C2-perturbations when the open set is bounded by a hypersurface with positive local feature size.

Numerical AnalysisPure mathematicsControl and OptimizationAlgebra and Number TheoryOpen setStructure (category theory)Skeleton (category theory)CombinatoricsHypersurfaceControl and Systems EngineeringMedial axisBounded functionPoint (geometry)Local feature sizeMathematicsJournal of Dynamical and Control Systems
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Sur les feuilletages alg�briques de Rolle

1997

L'objet de ce travail est l'etude des feuilletages algebriques de Rolle dans \( \Bbb {R}^n \). On montre que leur restriction au complementaire d'un nombre fini de feuilles possede une structure de produit. On precise aussi la topologie de certaines de leurs feuilles.

Algebraic setCombinatoricsPolynomialSeparatrixGeneral MathematicsFibrationMathematicsCommentarii Mathematici Helvetici
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