Symmetry Set

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Details

In geometry, the symmetry set is a method for representing the local symmetries of a curve, and can be used as a method for representing the shape of objects by finding the topological skeleton. The medial axis, a subset of the symmetry set is a set of curves which roughly run along the middle of an object.The symmetry set will have endpoints corresponding to vertices of the curve. Such points will lie at cusp of the evolute. At such points the curve will have 4-point contact with the circle.For a smooth manifold of dimension m in mathbb{R}^n (clearly we need m n). The symmetry set of the manifold is the closure of the centres of hyperspheres tangent to the manifold in at least two distinct places.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131237201
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131237201
    • Format Fachbuch
    • Titel Symmetry Set
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 68
    • Genre Mathematik

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