Fundamental geodesic deformations in spaces of treelike shapes

Publikation: Bidrag til bog/antologi/rapportKonferencebidrag i proceedings

This paper presents a new geometric framework for analysis of planar treelike shapes for applications such as shape matching, recognition and morphology, using the geometry of the space of treelike shapes. Mathematically, the shape space is given the structure of a stratified set which is a quotient of a normed vector space with a metric inherited from the vector space norm. We give examples of geodesic paths in tree-space corresponding to fundamental deformations of small trees, and discuss how these deformations are key building blocks for understanding deformations between larger trees.

OriginalsprogEngelsk
Titel20th International Conference on Pattern Recogniction - ICPR 2010
Antal sider5
ForlagIEEE
Publikationsdato2010
Sider2089-2093
ISBN (Trykt)978-1-4244-7542-1
ISBN (Elektronisk)978-1-4244-7541-4
DOI
StatusUdgivet - 2010
Begivenhed20th International Conference on Pattern Recognition - Istanbul, Tyrkiet
Varighed: 23 aug. 201026 aug. 2010

Konference

Konference20th International Conference on Pattern Recognition
LandTyrkiet
ByIstanbul
Periode23/08/201026/08/2010

ID: 172511612