Functional Maps on Product Manifolds

Rodolà, Emanuele; Lähner, Zorah; Bronstein, Alex M.; Bronstein, Michael M.; Solomon, Justin

Functional Maps on Product Manifolds

Files

009-010.pdf (1.3 MB)

Date

2018

Authors

Rodolà, Emanuele
Lähner, Zorah
Bronstein, Alex M.
Bronstein, Michael M.
Solomon, Justin

Publisher

The Eurographics Association

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.

        @inproceedings{10.2312:sgp.20181182
,
booktitle = {Symposium on Geometry Processing 2018- Posters
},
editor = {Ju, Tao and Vaxman, Amir
},
title = {{Functional Maps on Product Manifolds
}},
author = {Rodolà, Emanuele and 
Lähner, Zorah and 
Bronstein, Alex M. and 
Bronstein, Michael M. and 
Solomon, Justin
},
year = {2018
},
publisher = {The Eurographics Association
},
ISSN = {1727-8384
},
ISBN = {978-3-03868-069-7
},
DOI = {10.2312/sgp.20181182
}
}