Functional maps on product manifolds

Rodola E, Lähner Z, Bronstein AM, Bronstein MM, Solomon J. 2018. Functional maps on product manifolds, The Eurographics Association,p.


Conference Poster | Published | English
Author
Rodola, E.; Lähner, Z.; Bronstein, Alex M.ISTA ; Bronstein, M. M.; Solomon, J.
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.
Publishing Year
Date Published
2018-01-01
Proceedings Title
Symposium on Geometry Processing
Publisher
The Eurographics Association
ISSN
IST-REx-ID

Cite this

Rodola E, Lähner Z, Bronstein AM, Bronstein MM, Solomon J. Functional Maps on Product Manifolds. The Eurographics Association; 2018. doi:10.2312/SGP.20181182
Rodola, E., Lähner, Z., Bronstein, A. M., Bronstein, M. M., & Solomon, J. (2018). Functional maps on product manifolds. Symposium on Geometry Processing. The Eurographics Association. https://doi.org/10.2312/SGP.20181182
Rodola, E., Z. Lähner, Alex M. Bronstein, M. M. Bronstein, and J. Solomon. Functional Maps on Product Manifolds. Symposium on Geometry Processing. The Eurographics Association, 2018. https://doi.org/10.2312/SGP.20181182.
E. Rodola, Z. Lähner, A. M. Bronstein, M. M. Bronstein, and J. Solomon, Functional maps on product manifolds. The Eurographics Association, 2018.
Rodola E, Lähner Z, Bronstein AM, Bronstein MM, Solomon J. 2018. Functional maps on product manifolds, The Eurographics Association,p.
Rodola, E., et al. “Functional Maps on Product Manifolds.” Symposium on Geometry Processing, The Eurographics Association, 2018, doi:10.2312/SGP.20181182.
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