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BEGIN:VEVENT
DTSTAMP:20240214T070244Z
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:Technical Papers\n\nTobias Djuren, Maximilian Kohlbrenner, and
  Marc Alexa (Technische Universität Berlin)\n\nK-surfaces are an interacti
 ve modeling technique for Bézier-spline surfaces. Inspired by 𝜅-curves by 
 [Yan et al. 2017], each patch provides a single control point that is bein
 g interpolated at a local extremum of Gaussian curvature.\nThe challenge i
 s to solve the inverse problem of finding the center control point of a Bé
 zier patch given the boundary control points and the handle. Unlike the si
 tuation in 2D, bi-quadratic Bézier patches may exhibit none, one, or sever
 al extrema, and finding them is non-trivial. We solve the difficult invers
 e problem, including the possible selection among several extrema, by lear
 ning the desired function from samples, generated by computing Gaussian cu
 rvature of random patches. This approximation provides a stable solution t
 o the ill-defined inverse problem and is much more efficient than direct n
 umerical optimization, facilitating the interactive modeling framework. Th
 e local solution is used in an iterative optimization incorporating contin
 uity constraints across patches. \nWe demonstrate that the surface varies 
 smoothly with the handle location and that the resulting modeling system p
 rovides local and generally intuitive control. The idea of learning the in
 verse mapping from handles to patches may be applicable to other parametri
 c surfaces.\n\nRegistration Category: Full Access\n\nSession Chair: Oded S
 tein (University of Southern California, MIT)
URL:https://asia.siggraph.org/2023/full-program?id=papers_673&sess=sess144
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