Affinely invariant symmetry sets

• Autorzy: Peter Giblin
• Języki publikacji: EN

Abstrakty

EN

The classical medial axis and symmetry set of a smooth simple plane curve M, depending as they do on circles bitangent to M, are invariant under euclidean transformations. This article surveys the various ways in which the construction has been adapted to be invariant under affine transformations. They include affine distance and area constructions, and also the 'centre symmetry set' which generalizes central symmetry. A connexion is also made with the tricentre set of a convex plane curve, which is the set of points which are the centres of three chords.

Kategorie tematyczne

• 53A15: Affine differential geometry
• 53A04: Curves in Euclidean space
• 58K05: Critical points of functions and mappings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 82
• Numer: 1
• Strony: 71-84

Daty

wydano

2008

Twórcy

autor

Peter Giblin

• Department of Mathematical Sciences, The University of Liverpool, Liverpool L69 7ZL, U.K.

Identyfikatory

DOI

10.4064/bc82-0-5