BEGIN:VCALENDAR
VERSION:2.0
PRODID:Linklings LLC
BEGIN:VTIMEZONE
TZID:Australia/Melbourne
X-LIC-LOCATION:Australia/Melbourne
BEGIN:DAYLIGHT
TZOFFSETFROM:+1000
TZOFFSETTO:+1100
TZNAME:AEDT
DTSTART:19721003T020000
RRULE:FREQ=YEARLY;BYMONTH=4;BYDAY=1SU
END:DAYLIGHT
BEGIN:STANDARD
DTSTART:19721003T020000
TZOFFSETFROM:+1100
TZOFFSETTO:+1000
TZNAME:AEST
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20240214T070242Z
LOCATION:Meeting Room C4.8\, Level 4 (Convention Centre)
DTSTART;TZID=Australia/Melbourne:20231212T144500
DTEND;TZID=Australia/Melbourne:20231212T150000
UID:siggraphasia_SIGGRAPH Asia 2023_sess140_papers_420@linklings.com
SUMMARY:Developable Quad Meshes and Contact Element Nets
DESCRIPTION:Technical Papers\n\nVictor Ceballos Inza and Florian Rist (KAU
 ST), Johannes Wallner (TU Graz), and Helmut Pottmann (KAUST)\n\nThe proper
 ty of a surface being developable can be expressed in different equivalent
  ways, by vanishing Gauss curvature, or by the existence of isometric mapp
 ings to planar domains. Computational contributions to this topic range fr
 om special parametrizations to discrete-isometric mappings. However, so fa
 r a local criterion expressing developability of general quad meshes has b
 een lacking. In this paper, we propose a new and efficient discrete develo
 pability criterion that is applied to quad meshes equipped with vertex wei
 ghts, and which is motivated by a well-known characterization in different
 ial geometry, namely a rank-deficient second fundamental form. We assign c
 ontact elements to the faces of meshes and ruling vectors to the edges, wh
 ich in combination yield a developability condition per face. Using standa
 rd optimization procedures, we are able to perform interactive design and 
 developable lofting. The meshes we employ are combinatorially regular quad
  meshes with isolated singularities but are otherwise not required to foll
 ow any special curves on a developable surface. They are thus easily embed
 ded into a design workflow involving standard operations like remeshing, t
 rimming, and merging operations. An important feature is that we can direc
 tly derive a watertight, rational bi-quadratic spline surface from our mes
 hes. Remarkably, it occurs as the limit of weighted Doo-Sabin subdivision,
  which acts in an interpolatory manner on contact elements.\n\nRegistratio
 n Category: Full Access\n\nSession Chair: Nicholas Sharp (NVIDIA)
URL:https://asia.siggraph.org/2023/full-program?id=papers_420&sess=sess140
END:VEVENT
END:VCALENDAR