Standard
Stochastic Shape Analysis. / Arnaudon, Alexis; Holm, Darryl D.; Sommer, Stefan Horst.
Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging: Mathematical Imaging and Vision. red. / Ke Chen; Carola-Bibiane Schönlieb; Xue-Cheng Tai; Laurent Younces. Springer, 2021. s. 1-24 (Springer Reference).
Publikation: Bidrag til bog/antologi/rapport › Bidrag til bog/antologi › Forskning › fagfællebedømt
Harvard
Arnaudon, A, Holm, DD
& Sommer, SH 2021,
Stochastic Shape Analysis. i K Chen, C-B Schönlieb, X-C Tai & L Younces (red),
Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging: Mathematical Imaging and Vision. Springer, Springer Reference, s. 1-24.
https://doi.org/10.1007/978-3-030-03009-
APA
Arnaudon, A., Holm, D. D.
, & Sommer, S. H. (2021).
Stochastic Shape Analysis. I K. Chen, C-B. Schönlieb, X-C. Tai, & L. Younces (red.),
Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging: Mathematical Imaging and Vision (s. 1-24). Springer. Springer Reference
https://doi.org/10.1007/978-3-030-03009-
Vancouver
Arnaudon A, Holm DD
, Sommer SH.
Stochastic Shape Analysis. I Chen K, Schönlieb C-B, Tai X-C, Younces L, red., Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging: Mathematical Imaging and Vision. Springer. 2021. s. 1-24. (Springer Reference).
https://doi.org/10.1007/978-3-030-03009-
Author
Arnaudon, Alexis ; Holm, Darryl D. ; Sommer, Stefan Horst. / Stochastic Shape Analysis. Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging: Mathematical Imaging and Vision. red. / Ke Chen ; Carola-Bibiane Schönlieb ; Xue-Cheng Tai ; Laurent Younces. Springer, 2021. s. 1-24 (Springer Reference).
Bibtex
@inbook{41401cc813404dda800afb7fe5bfd396,
title = "Stochastic Shape Analysis",
abstract = "The chapter describes stochastic models of shapes from a Hamiltonian viewpoint, including Langevin models, Riemannian Brownian motions and stochastic variational systems. Starting from the deterministic setting of outer metrics on shape spaces and transformation groups, we discuss recent approaches to introducing noise in shape analysis from a physical or Hamiltonian point of view. We furthermore outline important applications and statistical uses of stochastic shape models, and we discuss perspectives and current research efforts in stochastic shape analysis.",
author = "Alexis Arnaudon and Holm, {Darryl D.} and Sommer, {Stefan Horst}",
year = "2021",
doi = "10.1007/978-3-030-03009-",
language = "English",
series = "Springer Reference",
publisher = "Springer",
pages = "1--24",
editor = "Chen, {Ke } and Sch{\"o}nlieb, {Carola-Bibiane } and Tai, {Xue-Cheng } and Younces, {Laurent }",
booktitle = "Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging",
address = "Switzerland",
}
RIS
TY - CHAP
T1 - Stochastic Shape Analysis
AU - Arnaudon, Alexis
AU - Holm, Darryl D.
AU - Sommer, Stefan Horst
PY - 2021
Y1 - 2021
N2 - The chapter describes stochastic models of shapes from a Hamiltonian viewpoint, including Langevin models, Riemannian Brownian motions and stochastic variational systems. Starting from the deterministic setting of outer metrics on shape spaces and transformation groups, we discuss recent approaches to introducing noise in shape analysis from a physical or Hamiltonian point of view. We furthermore outline important applications and statistical uses of stochastic shape models, and we discuss perspectives and current research efforts in stochastic shape analysis.
AB - The chapter describes stochastic models of shapes from a Hamiltonian viewpoint, including Langevin models, Riemannian Brownian motions and stochastic variational systems. Starting from the deterministic setting of outer metrics on shape spaces and transformation groups, we discuss recent approaches to introducing noise in shape analysis from a physical or Hamiltonian point of view. We furthermore outline important applications and statistical uses of stochastic shape models, and we discuss perspectives and current research efforts in stochastic shape analysis.
U2 - 10.1007/978-3-030-03009-
DO - 10.1007/978-3-030-03009-
M3 - Book chapter
T3 - Springer Reference
SP - 1
EP - 24
BT - Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging
A2 - Chen, Ke
A2 - Schönlieb, Carola-Bibiane
A2 - Tai, Xue-Cheng
A2 - Younces, Laurent
PB - Springer
ER -