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DTSTAMP:20260114T163725Z
LOCATION:Meeting Room C4.6\, Level 4 (Convention Centre)
DTSTART;TZID=Australia/Melbourne:20231213T140000
DTEND;TZID=Australia/Melbourne:20231213T160000
UID:siggraphasia_SIGGRAPH Asia 2023_sess104_crs_104@linklings.com
SUMMARY:Discrete Laplacians for General Polygonal and Polyhedral Meshes
DESCRIPTION:Astrid Bunge (TU Dortmund University), Marc Alexa (Technische 
 Universität Berlin), and Mario Botsch (TU Dortmund University)\n\nThe Lapl
 ace Beltrami operator is one of the essential tools in geometric processin
 g. It allows us to solve numerous partial differential equations on discre
 te surface meshes, which is a fundamental building block in many computer 
 graphics applications.\nDiscrete Laplacians are typically limited to stand
 ard elements like triangles or quadrilaterals, which severely constrains t
 he tessellation of the mesh. But in recent years, several approaches were 
 able to generalize the Laplace Beltrami and its closely related gradient a
 nd divergence operators to more general meshes. This allows artists and en
 gineers to work with a wider range of elements which are sometimes require
 d and beneficial in their field. This course highlightes the different con
 structions of these three ubiquitous differential operators on arbitrary p
 olygons and polyhedra and analyzes their individual advantages and propert
 ies in common computer graphics applications.\n\nRegistration Category: Fu
 ll Access\n\n
URL:https://asia.siggraph.org/2023/full-program?id=crs_104&sess=sess104
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