Functional Maps on Product Manifolds

E. Rodolà, Z. Lähner, A. M. Bronstein, M. M. Bronstein, J. Solomon

Research output: Contribution to journalConference articlepeer-review

Abstract

We consider the tasks of representing, analyzing and manipulating maps between shapes. We model maps as densities over the product manifold of the input shapes; these densities can be treated as scalar functions and therefore are manipulable using the language of signal processing on manifolds. Being a manifold itself, the product space endows the set of maps with a geometry of its own, which we exploit to define map operations in the spectral domain. To apply these ideas in practice, we introduce localized spectral analysis of the product manifold as a novel tool for map processing.

Original languageEnglish
Pages (from-to)9-10
Number of pages2
JournalEurographics Symposium on Geometry Processing
DOIs
StatePublished - 2018
Event16th Eurographics Symposium on Geometry Processing, SGP 2018 - Paris, France
Duration: 7 Jul 201811 Jul 2018

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