Fundamental geodesic deformations in spaces of treelike shapes
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Fundamental geodesic deformations in spaces of treelike shapes. / Feragen, Aasa; Lauze, Francois Bernard; Nielsen, Mads.
20th International Conference on Pattern Recogniction - ICPR 2010. IEEE, 2010. s. 2089-2093.Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › fagfællebedømt
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TY - GEN
T1 - Fundamental geodesic deformations in spaces of treelike shapes
AU - Feragen, Aasa
AU - Lauze, Francois Bernard
AU - Nielsen, Mads
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
U2 - 10.1109/ICPR.2010.513
DO - 10.1109/ICPR.2010.513
M3 - Article in proceedings
SN - 978-1-4244-7542-1
SP - 2089
EP - 2093
BT - 20th International Conference on Pattern Recogniction - ICPR 2010
PB - IEEE
Y2 - 23 August 2010 through 26 August 2010
ER -
ID: 172511612