An Elastic Basis for Spectral Shape Correspondence

Florine Hartwig, Josua Sassen, Omri Azencot, Martin Rumpf, Mirela Ben-Chen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


Finding correspondences between shapes is a central task in geometry processing with applications such as texture or deformation transfer and shape interpolation. We develop a spectral method for finding correspondences between non-isometric shapes that aligns extrinsic features. For this, we propose a novel crease aware spectral basis, that is derived from the Hessian of an elastic thin shell energy. We incorporate this basis in a functional map framework and demonstrate the effectiveness of our approach for mapping non-isometric shapes such that prominent features are put in correspondence. Finally, we describe the necessary adaptations to the functional map framework for working with non-orthogonal basis functions, thus considerably widening the scope of future uses of spectral shape correspondence.

Original languageEnglish
Title of host publicationProceedings - SIGGRAPH 2023 Conference Papers
EditorsStephen N. Spencer
PublisherAssociation for Computing Machinery, Inc
ISBN (Electronic)9798400701597
StatePublished - 23 Jul 2023
Event2023 Special Interest Group on Computer Graphics and Interactive Techniques Conference, SIGGRAPH 2023 - Los Angeles, United States
Duration: 6 Aug 202310 Aug 2023

Publication series

NameProceedings - SIGGRAPH 2023 Conference Papers


Conference2023 Special Interest Group on Computer Graphics and Interactive Techniques Conference, SIGGRAPH 2023
Country/TerritoryUnited States
CityLos Angeles


  • functional maps
  • shape matching
  • spectral methods

ASJC Scopus subject areas

  • Software
  • Computer Vision and Pattern Recognition
  • Computer Graphics and Computer-Aided Design


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