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A Function Space Perspective on Stochastic Shape Evolution. / Baker, Elizabeth; Besnier, Thomas; Sommer, Stefan.
Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings. ed. / Rikke Gade; Michael Felsberg; Joni-Kristian Kämäräinen. Springer, 2023. p. 278-292 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 13886 LNCS).
Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
Harvard
Baker, E, Besnier, T
& Sommer, S 2023,
A Function Space Perspective on Stochastic Shape Evolution. in R Gade, M Felsberg & J-K Kämäräinen (eds),
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), vol. 13886 LNCS, pp. 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
APA
Baker, E., Besnier, T.
, & Sommer, S. (2023).
A Function Space Perspective on Stochastic Shape Evolution. In R. Gade, M. Felsberg, & J-K. Kämäräinen (Eds.),
Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings (pp. 278-292). Springer. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) Vol. 13886 LNCS
https://doi.org/10.1007/978-3-031-31438-4_19
Vancouver
Baker E, Besnier T
, Sommer S.
A Function Space Perspective on Stochastic Shape Evolution. In Gade R, Felsberg M, Kämäräinen J-K, editors, Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings. Springer. 2023. p. 278-292. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 13886 LNCS).
https://doi.org/10.1007/978-3-031-31438-4_19
Author
Baker, Elizabeth ; Besnier, Thomas ; Sommer, Stefan. / A Function Space Perspective on Stochastic Shape Evolution. Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings. editor / Rikke Gade ; Michael Felsberg ; Joni-Kristian Kämäräinen. Springer, 2023. pp. 278-292 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 13886 LNCS).
Bibtex
@inproceedings{af47e2a248244844a65899106b773a10,
title = "A Function Space Perspective on Stochastic Shape Evolution",
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.",
keywords = "3D mesh processing, diffusions, shape space",
author = "Elizabeth Baker and Thomas Besnier and Stefan Sommer",
note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 23nd Scandinavian Conference on Image Analysis, SCIA 2023 ; Conference date: 18-04-2023 Through 21-04-2023",
year = "2023",
doi = "10.1007/978-3-031-31438-4_19",
language = "English",
isbn = "9783031314377",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer",
pages = "278--292",
editor = "Rikke Gade and Michael Felsberg and Joni-Kristian K{\"a}m{\"a}r{\"a}inen",
booktitle = "Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings",
address = "Switzerland",
}
RIS
TY - GEN
T1 - A Function Space Perspective on Stochastic Shape Evolution
AU - Baker, Elizabeth
AU - Besnier, Thomas
AU - Sommer, Stefan
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
KW - 3D mesh processing
KW - diffusions
KW - shape space
UR - http://www.scopus.com/inward/record.url?scp=85161395244&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-31438-4_19
DO - 10.1007/978-3-031-31438-4_19
M3 - Article in proceedings
AN - SCOPUS:85161395244
SN - 9783031314377
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 278
EP - 292
BT - Image Analysis - 23rd Scandinavian Conference, SCIA 2023, Proceedings
A2 - Gade, Rikke
A2 - Felsberg, Michael
A2 - Kämäräinen, Joni-Kristian
PB - Springer
T2 - 23nd Scandinavian Conference on Image Analysis, SCIA 2023
Y2 - 18 April 2023 through 21 April 2023
ER -
