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DTSTAMP:20260114T163633Z
LOCATION:Darling Harbour Theatre\, Level 2 (Convention Centre)
DTSTART;TZID=Australia/Melbourne:20231212T093000
DTEND;TZID=Australia/Melbourne:20231212T124500
UID:siggraphasia_SIGGRAPH Asia 2023_sess209_papers_420@linklings.com
SUMMARY:Developable Quad Meshes and Contact Element Nets
DESCRIPTION:Victor Ceballos Inza and Florian Rist (KAUST), Johannes Wallne
 r (TU Graz), and Helmut Pottmann (KAUST)\n\nThe property of a surface bein
 g developable can be expressed in different equivalent ways, by vanishing 
 Gauss curvature, or by the existence of isometric mappings to planar domai
 ns. Computational contributions to this topic range from special parametri
 zations to discrete-isometric mappings. However, so far a local criterion 
 expressing developability of general quad meshes has been lacking. In this
  paper, we propose a new and efficient discrete developability criterion t
 hat is applied to quad meshes equipped with vertex weights, and which is m
 otivated by a well-known characterization in differential geometry, namely
  a rank-deficient second fundamental form. We assign contact elements to t
 he faces of meshes and ruling vectors to the edges, which in combination y
 ield a developability condition per face. Using standard optimization proc
 edures, we are able to perform interactive design and developable lofting.
  The meshes we employ are combinatorially regular quad meshes with isolate
 d singularities but are otherwise not required to follow any special curve
 s on a developable surface. They are thus easily embedded into a design wo
 rkflow involving standard operations like remeshing, trimming, and merging
  operations. An important feature is that we can directly derive a waterti
 ght, rational bi-quadratic spline surface from our meshes. Remarkably, it 
 occurs as the limit of weighted Doo-Sabin subdivision, which acts in an in
 terpolatory manner on contact elements.\n\nRegistration Category: Full Acc
 ess, Enhanced Access, Trade Exhibitor, Experience Hall Exhibitor\n\n
URL:https://asia.siggraph.org/2023/full-program?id=papers_420&sess=sess209
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