Fundamental geodesic deformations in spaces of treelike shapes

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Standard

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/rapportKonferencebidrag i proceedingsForskningfagfællebedømt

Harvard

Feragen, A, Lauze, FB & Nielsen, M 2010, Fundamental geodesic deformations in spaces of treelike shapes. i 20th International Conference on Pattern Recogniction - ICPR 2010. IEEE, s. 2089-2093, 20th International Conference on Pattern Recognition, Istanbul, Tyrkiet, 23/08/2010. https://doi.org/10.1109/ICPR.2010.513

APA

Feragen, A., Lauze, F. B., & Nielsen, M. (2010). Fundamental geodesic deformations in spaces of treelike shapes. I 20th International Conference on Pattern Recogniction - ICPR 2010 (s. 2089-2093). IEEE. https://doi.org/10.1109/ICPR.2010.513

Vancouver

Feragen A, Lauze FB, Nielsen M. Fundamental geodesic deformations in spaces of treelike shapes. I 20th International Conference on Pattern Recogniction - ICPR 2010. IEEE. 2010. s. 2089-2093 https://doi.org/10.1109/ICPR.2010.513

Author

Feragen, Aasa ; Lauze, Francois Bernard ; Nielsen, Mads. / Fundamental geodesic deformations in spaces of treelike shapes. 20th International Conference on Pattern Recogniction - ICPR 2010. IEEE, 2010. s. 2089-2093

Bibtex

@inproceedings{b0bb9b90464f11df928f000ea68e967b,
title = "Fundamental geodesic deformations in spaces of treelike shapes",
abstract = "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.",
author = "Aasa Feragen and Lauze, {Francois Bernard} and Mads Nielsen",
year = "2010",
doi = "10.1109/ICPR.2010.513",
language = "English",
isbn = "978-1-4244-7542-1",
pages = "2089--2093",
booktitle = "20th International Conference on Pattern Recogniction - ICPR 2010",
publisher = "IEEE",
note = "null ; Conference date: 23-08-2010 Through 26-08-2010",

}

RIS

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