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DTSTAMP:20240214T070242Z
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:Technical Papers\n\nMartin Kilian (TU Wien), Anthony Ramos Cis
 neros (KAUST), Christian Müller (TU Wien), and Helmut Pottmann (KAUST)\n\n
 A truly Möbius invariant discrete surface theory must consider meshes wher
 e the transformation group acts on all of its elements, including edges an
 d faces. We therefore systematically describe so called sphere meshes with
  spherical faces and circular arcs as edges. Driven by aspects important f
 or manufacturing, we provide the means to cluster spherical panels by thei
 r radii. We investigate the generation of sphere meshes which allow for a 
 geometric support structure and characterize all such meshes with triangul
 ar combinatorics in terms of non-Euclidean geometries. We generate sphere 
 meshes with hexagonal 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. Furthermor
 e, we extend meshes with circular faces of all combinatorics to sphere mes
 hes by filling its circles with suitable spherical caps and provide a re-m
 eshing scheme to obtain quadrilateral sphere meshes with support structure
  from given sphere congruences. By broadening polyhedral meshes to sphere 
 meshes we exploit the additional degrees of freedom to minimize intersecti
 on angles of neighboring spheres enabling the use of spherical panels that
  provide a softer perception of the overall surface.\n\nRegistration Categ
 ory: Full Access\n\nSession Chair: Nicholas Sharp (NVIDIA)
URL:https://asia.siggraph.org/2023/full-program?id=papers_367&sess=sess140
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