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DTSTAMP:20260114T163646Z
LOCATION:Meeting Room C4.8\, Level 4 (Convention Centre)
DTSTART;TZID=Australia/Melbourne:20231212T150000
DTEND;TZID=Australia/Melbourne:20231212T151500
UID:siggraphasia_SIGGRAPH Asia 2023_sess140_papers_367@linklings.com
SUMMARY:Meshes with Spherical Faces
DESCRIPTION:Martin Kilian (TU Wien), Anthony Ramos Cisneros (KAUST), Chris
 tian Müller (TU Wien), and Helmut Pottmann (KAUST)\n\nA truly Möbius invar
 iant discrete surface theory must consider meshes where the transformation
  group acts on all of its elements, including edges and faces. We therefor
 e systematically describe so called sphere meshes with spherical faces and
  circular arcs as edges. Driven by aspects important for manufacturing, we
  provide the means to cluster spherical panels by their radii. We investig
 ate the generation of sphere meshes which allow for a geometric support st
 ructure and characterize all such meshes with triangular combinatorics in 
 terms of non-Euclidean geometries. We generate sphere meshes with hexagona
 l combinatorics by intersecting tangential spheres of a reference surface 
 and let them evolve - guided by the surface curvature - to visually convex
  hexagons, even in negatively curved areas. Furthermore, we extend meshes 
 with circular faces of all combinatorics to sphere meshes by filling its c
 ircles with suitable spherical caps and provide a re-meshing scheme to obt
 ain quadrilateral sphere meshes with support structure from given sphere c
 ongruences. By broadening polyhedral meshes to sphere meshes we exploit th
 e additional degrees of freedom to minimize intersection angles of neighbo
 ring spheres enabling the use of spherical panels that provide a softer pe
 rception of the overall surface.\n\nRegistration Category: Full Access\n\n
 Session Chair: Nicholas Sharp (NVIDIA)\n\n
URL:https://asia.siggraph.org/2023/full-program?id=papers_367&sess=sess140
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