Stochastic Shape Analysis

Publikation: Bidrag til bog/antologi/rapportBidrag til bog/antologiForskningfagfællebedømt

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/rapportBidrag til bog/antologiForskningfagfællebedømt

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 -

ID: 261374268