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BEGIN:VEVENT
DTSTAMP:20250110T023312Z
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:Technical Papers\n\nCaigui Jiang (Xi'an Jiaotong University); 
 Dmitry Lyakhov (KAUST); Florian Rist (TU Wien, KAUST); Helmut Pottmann (KA
 UST); and Johannes Wallner (Graz University of Technology)\n\nThis paper p
 rovides computational tools for the modeling and design of quad mesh mecha
 nisms, which are meshes allowing continuous flexions under the assumption 
 of rigid faces and hinges in the edges.  We combine methods and results fr
 om different areas, namely differential geometry of surfaces, rigidity and
  flexibility of bar and joint frameworks, algebraic geometry, and optimiza
 tion.  The basic idea to achieve a time-continuous flexion is time-discret
 ization justified by an algebraic degree argument. We are able to prove co
 mputationally feasible bounds on the number of required time instances we 
 need to incorporate in our optimization.  For optimization to succeed, an 
 informed initialization is crucial. We present  two computational pipeline
 s to achieve that: one based on remeshing isometric surface pairs, another
  one based on iterative refinement. A third manner of initialization prove
 d very effective: We interactively design meshes which are close to a narr
 ow known class of flexible meshes, but not contained in it. Having enjoyed
  sufficiently many degrees of freedom during design, we afterwards optimiz
 e towards flexibility.\n\nRegistration Category: Full Access, Full Access 
 Supporter\n\nLanguage Format: English Language\n\nSession Chair: Mirela Be
 n-Chen (Technion – Israel Institute of Technology)
URL:https://asia.siggraph.org/2024/program/?id=papers_581&sess=sess133
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