Multi-Shape registration with constrained deformations

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


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 languageEnglish
Title of host publicationGeometric Science of Information - 5th International Conference, GSI 2021, Proceedings
Subtitle of host publicationInternational Conference on Geometric Science of Information
EditorsFrank Nielsen, Frédéric Barbaresco
Number of pages9
ISBN (Electronic)978-3-030-80209-7
ISBN (Print)978-3-030-80208-0
Publication statusPublished - 31 Dec 2021

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12829 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


  • Large deformations
  • Shape registration
  • Sub-Riemannian geometry

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)


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