Affinely invariant symmetry sets

Peter Giblin. "Affinely invariant symmetry sets." Banach Center Publications 82.1 (2008): 71-84. <http://eudml.org/doc/282168>.

@article{PeterGiblin2008,
abstract = {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.},
author = {Peter Giblin},
journal = {Banach Center Publications},
keywords = {symmetry set; medial axis; affine invariance; central symmetry; tricentre},
language = {eng},
number = {1},
pages = {71-84},
title = {Affinely invariant symmetry sets},
url = {http://eudml.org/doc/282168},
volume = {82},
year = {2008},
}

TY - JOUR
AU - Peter Giblin
TI - Affinely invariant symmetry sets
JO - Banach Center Publications
PY - 2008
VL - 82
IS - 1
SP - 71
EP - 84
AB - 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.
LA - eng
KW - symmetry set; medial axis; affine invariance; central symmetry; tricentre
UR - http://eudml.org/doc/282168
ER -