The Critical Curvature Degree of an Algebraic Variety
Copyright policy )The Critical Curvature Degree of an Algebraic Variety
In this article, we study the complexity involved in the computation of the reach in arbitrary dimension and in particular the computation of the critical spherical curvature points of an arbitrary algebraic variety. We present properties of the critical spherical curvature points as well as an algorithm for computing it.
14 pages, 4 figures
ED degree, ED discriminant, Real algebraic sets, critical curvature, Mathematics - Algebraic Geometry, Computational aspects of higher-dimensional varieties, Optimization and Control (math.OC), FOS: Mathematics, generalized evolute, offset discriminant, 14Q99, Mathematics - Optimization and Control, Algebraic Geometry (math.AG)
ED degree, ED discriminant, Real algebraic sets, critical curvature, Mathematics - Algebraic Geometry, Computational aspects of higher-dimensional varieties, Optimization and Control (math.OC), FOS: Mathematics, generalized evolute, offset discriminant, 14Q99, Mathematics - Optimization and Control, Algebraic Geometry (math.AG)
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