A Function Space Perspective on Stochastic Shape Evolution

Elizabeth Baker; Thomas Besnier; Stefan Sommer

doi:10.1007/978-3-031-31438-4_19

A Function Space Perspective on Stochastic Shape Evolution

Elizabeth Baker^*, Thomas Besnier, Stefan Sommer

^*Corresponding author af dette arbejde

Image Analysis, Computational Modelling and Geometry

Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › peer review

Abstract

Modelling randomness in shape data, for example, the evolution of shapes of organisms in biology, requires stochastic models of shapes. This paper presents a new stochastic shape model based on a description of shapes as functions in a Sobolev space. Using an explicit orthonormal basis as a reference frame for the noise, the model is independent of the parameterisation of the mesh. We define the stochastic model, explore its properties, and illustrate examples of stochastic shape evolutions using the resulting numerical framework.

Originalsprog	Engelsk
Titel	Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings
Redaktører	Rikke Gade, Michael Felsberg, Joni-Kristian Kämäräinen
Antal sider	15
Forlag	Springer
Publikationsdato	2023
Sider	278-292
ISBN (Trykt)	9783031314377
DOI	https://doi.org/10.1007/978-3-031-31438-4_19
Status	Udgivet - 2023
Begivenhed	23nd Scandinavian Conference on Image Analysis, SCIA 2023 - Lapland, Finland Varighed: 18 apr. 2023 → 21 apr. 2023

Konference

Konference	23nd Scandinavian Conference on Image Analysis, SCIA 2023
Land/Område	Finland
By	Lapland
Periode	18/04/2023 → 21/04/2023

Navn	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Vol/bind	13886 LNCS
ISSN	0302-9743

Bibliografisk note

Funding Information:
The work presented in this article was done at the Center for Computational Evolutionary Morphometry and is partly supported by Novo Nordisk Foundation grant NNF18OC0052000 as well as VILLUM FONDEN research grant 40582 and UCPH Data+ Strategy 2023 funds for interdisciplinary research.

Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Adgang til dokumentet

10.1007/978-3-031-31438-4_19

https://arxiv.org/pdf/2302.05382.pdfLicens: CC BY

Andre filer og links

Link to publication in Scopus

Citationsformater

Baker, E., Besnier, T., & Sommer, S. (2023). A Function Space Perspective on Stochastic Shape Evolution. I R. Gade, M. Felsberg, & J-K. Kämäräinen (red.), Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings (s. 278-292). Springer. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) Bind 13886 LNCS https://doi.org/10.1007/978-3-031-31438-4_19

A Function Space Perspective on Stochastic Shape Evolution. / Baker, Elizabeth; Besnier, Thomas; Sommer, Stefan.

Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings. red. / Rikke Gade; Michael Felsberg; Joni-Kristian Kämäräinen. Springer, 2023. s. 278-292 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Bind 13886 LNCS).

Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › peer review

Baker, E, Besnier, T & Sommer, S 2023, A Function Space Perspective on Stochastic Shape Evolution. i R Gade, M Felsberg & J-K Kämäräinen (red), Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings. Springer, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), bind 13886 LNCS, s. 278-292, 23nd Scandinavian Conference on Image Analysis, SCIA 2023, Lapland, Finland, 18/04/2023. https://doi.org/10.1007/978-3-031-31438-4_19

Baker E, Besnier T, Sommer S. A Function Space Perspective on Stochastic Shape Evolution. I Gade R, Felsberg M, Kämäräinen J-K, red., Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings. Springer. 2023. s. 278-292. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Bind 13886 LNCS). https://doi.org/10.1007/978-3-031-31438-4_19

Baker, Elizabeth ; Besnier, Thomas ; Sommer, Stefan. / A Function Space Perspective on Stochastic Shape Evolution. Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings. red. / Rikke Gade ; Michael Felsberg ; Joni-Kristian Kämäräinen. Springer, 2023. s. 278-292 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Bind 13886 LNCS).

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