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DTSTAMP:20260817T171531Z
LOCATION:Hall B5 (1)\, B Block\, Level 5
DTSTART;TZID=Asia/Tokyo:20241205T154100
DTEND;TZID=Asia/Tokyo:20241205T155500
UID:siggraphasia_SIGGRAPH Asia 2024_sess133_papers_581@linklings.com
SUMMARY:Quad mesh mechanisms
DESCRIPTION:Caigui Jiang (Xi'an Jiaotong University); Dmitry Lyakhov (KAUS
 T); Florian Rist (TU Wien, KAUST); Helmut Pottmann (KAUST); and Johannes W
 allner (Graz University of Technology)\n\nThis paper provides computationa
 l tools for the modeling and design of quad mesh mechanisms, which are mes
 hes allowing continuous flexions under the assumption of rigid faces and h
 inges in the edges.  We combine methods and results from different areas, 
 namely differential geometry of surfaces, rigidity and flexibility of bar 
 and joint frameworks, algebraic geometry, and optimization.  The basic ide
 a to achieve a time-continuous flexion is time-discretization justified by
  an algebraic degree argument. We are able to prove computationally feasib
 le bounds on the number of required time instances we need to incorporate 
 in our optimization.  For optimization to succeed, an informed initializat
 ion is crucial. We present  two computational pipelines to achieve that: o
 ne based on remeshing isometric surface pairs, another one based on iterat
 ive refinement. A third manner of initialization proved very effective: We
  interactively design meshes which are close to a narrow known class of fl
 exible meshes, but not contained in it. Having enjoyed sufficiently many d
 egrees of freedom during design, we afterwards optimize towards flexibilit
 y.\n\nRegistration Category: Full Access, Full Access Supporter\n\nLanguag
 e Format: English Language\n\nSession Chair: Mirela Ben-Chen (Technion – I
 srael Institute of Technology)\n\n
URL:https://asia.siggraph.org/2024/program/?id=papers_581&sess=sess133
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