Multi-Shape registration with constrained deformations

Rosa Kowalewski

doi:10.1007/978-3-030-80209-7_10

Multi-Shape registration with constrained deformations

Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding

Abstract

Based on a Sub-Riemannian framework, deformation modules provide a way of building large diffeomorphic deformations satisfying a given geometrical structure. This allows to incorporate prior knowledge about object deformations into the model as a means of regularisation [10]. However, diffeomorphic deformations can lead to deceiving results if the deformed object is composed of several shapes which are close to each other but require drastically different deformations. For the related Large Deformation Diffemorphic Metric Mapping, which yields unstructured deformations, this issue was addressed in [2] introducing object boundary constraints. We develop a new registration problem, marrying the two frameworks to allow for different constrained deformations in different coupled shapes.

Original language	English
Title of host publication	Geometric Science of Information - 5th International Conference, GSI 2021, Proceedings
Subtitle of host publication	International Conference on Geometric Science of Information
Editors	Frank Nielsen, Frédéric Barbaresco
Publisher	Springer
Pages	82-90
Number of pages	9
ISBN (Electronic)	978-3-030-80209-7
ISBN (Print)	978-3-030-80208-0
DOIs	https://doi.org/10.1007/978-3-030-80209-7_10
Publication status	Published - 31 Dec 2021

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	12829 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Bibliographical note

Funding Information:
Rosa Kowalewski is supported by a scholarship from the EPSRC Centre for Doctoral Training in Statistical Applied Mathematics at Bath (SAMBa), under the project EP/S022945/1.

Keywords

Large deformations
Shape registration
Sub-Riemannian geometry

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-030-80209-7_10

https://hal.science/hal-03251766

Cite this

Kowalewski, R. (2021). Multi-Shape registration with constrained deformations. In F. Nielsen, & F. Barbaresco (Eds.), Geometric Science of Information - 5th International Conference, GSI 2021, Proceedings: International Conference on Geometric Science of Information (pp. 82-90). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12829 LNCS). Springer. https://doi.org/10.1007/978-3-030-80209-7_10

Multi-Shape registration with constrained deformations. / Kowalewski, Rosa.
Geometric Science of Information - 5th International Conference, GSI 2021, Proceedings: International Conference on Geometric Science of Information. ed. / Frank Nielsen; Frédéric Barbaresco. Springer, 2021. p. 82-90 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12829 LNCS).

Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding

Kowalewski, R 2021, Multi-Shape registration with constrained deformations. in F Nielsen & F Barbaresco (eds), Geometric Science of Information - 5th International Conference, GSI 2021, Proceedings: International Conference on Geometric Science of Information. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12829 LNCS, Springer, pp. 82-90. https://doi.org/10.1007/978-3-030-80209-7_10

Kowalewski R. Multi-Shape registration with constrained deformations. In Nielsen F, Barbaresco F, editors, Geometric Science of Information - 5th International Conference, GSI 2021, Proceedings: International Conference on Geometric Science of Information. Springer. 2021. p. 82-90. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). Epub 2021 Jul 14. doi: 10.1007/978-3-030-80209-7_10

Kowalewski, Rosa. / Multi-Shape registration with constrained deformations. Geometric Science of Information - 5th International Conference, GSI 2021, Proceedings: International Conference on Geometric Science of Information. editor / Frank Nielsen ; Frédéric Barbaresco. Springer, 2021. pp. 82-90 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Multi-Shape registration with constrained deformations

Abstract

Publication series

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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