Publication
Soft maps between surfaces
AbstractThe problem of mapping between two non-isometric surfaces admits ambiguities on both local and global scales. For instance, symmetries can make it possible for multiple maps to be equally acceptable, and stretching, slippage, and compression introduce difficulties deciding exactly where each point should go. Since most algorithms for point-to-point or even sparse mapping struggle to resolve these ambiguities, in this paper we introduce soft maps, a probabilistic relaxation of point-to-point correspondence that explicitly incorporates ambiguities in the mapping process. In addition to explaining a continuous theory of soft maps, we show how they can be represented using probability matrices and computed for given pairs of surfaces through a convex optimization explicitly trading off between continuity, conformity to geometric descriptors, and spread. Given that our correspondences are encoded in matrix form, we also illustrate how low-rank approximation and other linear algebraic tools can be used to analyze, simplify, and represent both individual and collections of soft maps.
Download publicationRelated Resources
See what’s new.
2024
Sustainability through Optimal Design of Buildings for Natural Ventilation using Updated Comfort and Occupancy ModelsThe benefits of incorporating natural ventilation simulation into a…
2018
PhenoLines: Phenotype Comparison Visualizations for Disease Subtyping via Topic ModelsPhenoLines is a visual analysis tool for the interpretation of disease…
2011
IP-QAT: In-Product Questions, Answers & TipsWe present IP-QAT, a new community-based question and answer system…
2021
Classifying Component Function in Product Assemblies With Graph Neural NetworksFunction is defined as the ensemble of tasks that enable the product…
Get in touch
Something pique your interest? Get in touch if you’d like to learn more about Autodesk Research, our projects, people, and potential collaboration opportunities.
Contact us