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DTSTAMP:20260114T163642Z
LOCATION:Meeting Room C4.8\, Level 4 (Convention Centre)
DTSTART;TZID=Australia/Melbourne:20231213T142500
DTEND;TZID=Australia/Melbourne:20231213T144000
UID:siggraphasia_SIGGRAPH Asia 2023_sess144_papers_673@linklings.com
SUMMARY:K-surfaces: Bézier-Splines Interpolating at Gaussian Curvature Ext
 rema
DESCRIPTION:Tobias Djuren, Maximilian Kohlbrenner, and Marc Alexa (Technis
 che Universität Berlin)\n\nK-surfaces are an interactive modeling techniqu
 e for Bézier-spline surfaces. Inspired by 𝜅-curves by [Yan et al. 2017], e
 ach patch provides a single control point that is being interpolated at a 
 local extremum of Gaussian curvature.\nThe challenge is to solve the inver
 se problem of finding the center control point of a Bézier patch given the
  boundary control points and the handle. Unlike the situation in 2D, bi-qu
 adratic Bézier patches may exhibit none, one, or several extrema, and find
 ing them is non-trivial. We solve the difficult inverse problem, including
  the possible selection among several extrema, by learning the desired fun
 ction from samples, generated by computing Gaussian curvature of random pa
 tches. This approximation provides a stable solution to the ill-defined in
 verse problem and is much more efficient than direct numerical optimizatio
 n, facilitating the interactive modeling framework. The local solution is 
 used in an iterative optimization incorporating continuity constraints acr
 oss patches. \nWe demonstrate that the surface varies smoothly with the ha
 ndle location and that the resulting modeling system provides local and ge
 nerally intuitive control. The idea of learning the inverse mapping from h
 andles to patches may be applicable to other parametric surfaces.\n\nRegis
 tration Category: Full Access\n\nSession Chair: Oded Stein (Technion, Univ
 ersity of Southern California)\n\n
URL:https://asia.siggraph.org/2023/full-program?id=papers_673&sess=sess144
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