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DTSTAMP:20260114T163717Z
LOCATION:Meeting Room C4.8\, Level 4 (Convention Centre)
DTSTART;TZID=Australia/Melbourne:20231214T102000
DTEND;TZID=Australia/Melbourne:20231214T103500
UID:siggraphasia_SIGGRAPH Asia 2023_sess149_papers_793@linklings.com
SUMMARY:Metric Optimization in Penner Coordinates
DESCRIPTION:Ryan Capouellez and Denis Zorin (New York University)\n\nMany 
 parametrization and mapping-related problems in geometry processing can be
  viewed as metric optimization problems, i.e., computing a metric minimizi
 ng a functional and satisfying a set of constraints, such as flatness. \n\
 nPenner coordinates are global coordinates on the space of metrics on mesh
 es with a fixed vertex set and topology, but varying connectivity, making 
 it homeomorphic to the Euclidean space of dimension equal to the number of
  edges in the mesh, without any additional constraints imposed, and reduci
 ng to logarithms of edge lengths when restricted to a fixed connectivity. 
 \nThese coordinates play an important role in the theory of discrete confo
 rmal maps, enabling recent development of highly robust algorithms with co
 nvergence and solution existence guarantees for computing such maps. \n\nW
 e demonstrate how Penner coordinates can be used to solve a general class 
 of problems involving metrics, including optimization and interpolation, w
 hile retaining the key guarantees available for conformal maps.\n\nRegistr
 ation Category: Full Access\n\nSession Chair: Marco ATTENE (Institute for 
 Applied Mathematics and Information Technologies (IMATI), CNR)\n\n
URL:https://asia.siggraph.org/2023/full-program?id=papers_793&sess=sess149
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