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X-LIC-LOCATION:Asia/Tokyo
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BEGIN:VEVENT
DTSTAMP:20250110T023311Z
LOCATION:Hall B5 (1)\, B Block\, Level 5
DTSTART;TZID=Asia/Tokyo:20241203T163000
DTEND;TZID=Asia/Tokyo:20241203T164100
UID:siggraphasia_SIGGRAPH Asia 2024_sess109_papers_591@linklings.com
SUMMARY:Approximation by Meshes with Spherical Faces
DESCRIPTION:Technical Papers\n\nAnthony S. Cisneros Ramos and Alisher Aiky
 n (King Abdullah University of Science and Technology (KAUST)); Martin Kil
 ian (TU Wien); Helmut Pottmann (TU Wien, King Abdullah University of Scien
 ce and Technology (KAUST)); and Christian Müller (TU Wien)\n\nMeshes with 
 spherical faces and circular edges are an attractive alternative to polyhe
 dral meshes for applications in architecture and design. Approximation of 
 a given surface by such a mesh needs to consider the visual appearance, ap
 proximation quality, the position and orientation of circular intersection
 s of neighboring faces and the existence of a torsion free support structu
 re that is formed by the planes of circular edges. The latter requirement 
 implies that the mesh simultaneously defines a second mesh whose faces lie
  on the same spheres as the faces of the first mesh. It is a discretizatio
 n of the two envelopes of a sphere congruence, i.e., a two-parameter famil
 y of spheres. We relate such sphere congruences to torsal parameterization
 s of associated line congruences. Turning practical requirements into prop
 erties of such a line congruence, we optimize line and sphere congruence a
 s a basis for computing a mesh with spherical triangular or quadrilateral 
 faces that approximates a given reference surface.\n\nRegistration Categor
 y: Full Access, Full Access Supporter\n\nLanguage Format: English Language
 \n\nSession Chair: Haisen Zhao (Shandong University)
URL:https://asia.siggraph.org/2024/program/?id=papers_591&sess=sess109
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