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TZID:Asia/Tokyo
X-LIC-LOCATION:Asia/Tokyo
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TZOFFSETFROM:+0900
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DTSTART:18871231T000000
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BEGIN:VEVENT
DTSTAMP:20260817T171531Z
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:Anthony S. Cisneros Ramos and Alisher Aikyn (King Abdullah Uni
 versity of Science and Technology (KAUST)); Martin Kilian (TU Wien); Helmu
 t Pottmann (TU Wien, King Abdullah University of Science and Technology (K
 AUST)); and Christian Müller (TU Wien)\n\nMeshes with spherical faces and 
 circular edges are an attractive alternative to polyhedral meshes for appl
 ications in architecture and design. Approximation of a given surface by s
 uch a mesh needs to consider the visual appearance, approximation quality,
  the position and orientation of circular intersections of neighboring fac
 es and the existence of a torsion free support structure that is formed by
  the planes of circular edges. The latter requirement implies that the mes
 h simultaneously defines a second mesh whose faces lie on the same spheres
  as the faces of the first mesh. It is a discretization of the two envelop
 es of a sphere congruence, i.e., a two-parameter family of spheres. We rel
 ate such sphere congruences to torsal parameterizations of associated line
  congruences. Turning practical requirements into properties of such a lin
 e congruence, we optimize line and sphere congruence as a basis for comput
 ing a mesh with spherical triangular or quadrilateral faces that approxima
 tes a given reference surface.\n\nRegistration Category: Full Access, Full
  Access Supporter\n\nLanguage Format: English Language\n\nSession Chair: H
 aisen Zhao (Shandong University)\n\n
URL:https://asia.siggraph.org/2024/program/?id=papers_591&sess=sess109
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