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Modeling and Exploring Co-variations in the Geometry and Configuration of Man-made 3D Shape Families
(The Eurographics Association and John Wiley & Sons Ltd., 2017)
We introduce co-variation analysis as a tool for modeling the way part geometries and configurations co-vary across a family of man-made 3D shapes. While man-made 3D objects exhibit large geometric and structural variations, ...
Adjoint Map Representation for Shape Analysis and Matching
(The Eurographics Association and John Wiley & Sons Ltd., 2017)
In this paper, we propose to consider the adjoint operators of functional maps, and demonstrate their utility in several tasks in geometry processing. Unlike a functional map, which represents a correspondence simply using ...
Restricting Voronoi Diagrams to Meshes Using Corner Validation
(The Eurographics Association and John Wiley & Sons Ltd., 2017)
Restricted Voronoi diagrams are a fundamental geometric structure used in many applications such as surface reconstruction from point sets or optimal transport. Given a set of sites V and a mesh X with vertices in Rd ...