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Surface Map Homology Inference
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
A homeomorphism between two surfaces not only defines a (continuous and bijective) geometric correspondence of points but also (by implication) an identification of topological features, i.e. handles and tunnels, and how ...
Layout Embedding via Combinatorial Optimization
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
We consider the problem of injectively embedding a given graph connectivity (a layout) into a target surface. Starting from prescribed positions of layout vertices, the task is to embed all layout edges as intersection-free ...
TinyAD: Automatic Differentiation in Geometry Processing Made Simple
(The Eurographics Association and John Wiley & Sons Ltd., 2022)
Non-linear optimization is essential to many areas of geometry processing research. However, when experimenting with different problem formulations or when prototyping new algorithms, a major practical obstacle is the need ...