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DTSTAMP:20260805T205455Z
LOCATION:Room 403 A
DTSTART;TZID=America/Los_Angeles:20260720T104500
DTEND;TZID=America/Los_Angeles:20260720T123500
UID:siggraph_SIGGRAPH 2026_sess149@linklings.com
SUMMARY:Winding Numbers & Surface Representations
DESCRIPTION:Fast and Exact Winding Numbers for Triangle Meshes\n\nGenerali
 zed winding numbers are a useful measure for inside-outside classification
 . This paper introduces a novel method for computing winding numbers for t
 riangle meshes, which leverages a ray-mesh intersection and an elementary 
 sum over boundaries. Our algorithm gives the exact answer and is more ...\
 n\n\nPeiyuan Xie, Christian Hafner, and Chris Wojtan (Institute of Science
  and Technology Austria (ISTA))\n---------------------\nSpatially Accelera
 ted Winding Numbers for Curved Geometry\n\nExisting winding number methods
  for curved geometry, such as SVG and CAD datasets, scale linearly with th
 e number of NURBS primitives. We propose a sublinear approach that leverag
 es a BVH to agglomerate winding number contributions from distant boundary
  components while maintaining accurate point co...\n\n\nJacob Spainhour, B
 rad Whitlock, and Kenneth Weiss (Lawrence Livermore National Laboratory)\n
 ---------------------\nRobust Containment Queries over Collections of Trim
 med NURBS Surfaces via Generalized Winding Numbers\n\nWe introduce an accu
 rate and precise generalized winding number method for trimmed NURBS patch
 es based on integrating along boundary curves. For points near a patch, we
  add a correction term determined via line-surface intersections. The meth
 od enables robust inside-outside containment queries that ...\n\n\nJacob S
 painhour and Kenneth Weiss (Lawrence Livermore National Laboratory) and Ja
 cob Spainhour\n---------------------\nThe Antipodal Method: Fast, Accurate
 , and Robust 3D Generalized Winding Numbers\n\nWe introduce a new formulat
 ion and algorithm for fast, precise computation of generalized winding num
 bers applicable to both meshes and parametric surfaces. Our approach expre
 sses the winding number as the sum of ray-surface intersections and a boun
 dary integral. It achieves significant speedups ove...\n\n\nCedric Martens
  (Université de Montréal), Philip Trettner (Shaped Code GmbH), and Mikhail
  Bessmeltsev (Université de Montréal)\n---------------------\nADS: Random 
 Sampling of Occupancy Functions using Adaptive Delaunay Scaffolding\n\nWe 
 present ADS, a method that delivers both pseudo-random surface samples and
  isosurface connectivity from occupancy functions, unlike prior approaches
  that typically provide only one. ADS achieves this with orders of magnitu
 de fewer function evaluations at comparable accuracy than prior approaches
 ,...\n\n\nSuzuran Takikawa, Leo Foord-Kelcey, and Oliver Oxford (The Unive
 rsity of British Columbia); Nicholas Vining (NVIDIA, The University of Bri
 tish Columbia); and Alla Sheffer (The University of British Columbia)\n---
 ------------------\nDifferentiable Voxelization of Surface Representations
 \n\nWe provide an efficient technique to differentiate voxel values with r
 espect to the positions of the surface that generated the voxel grid. This
  allows to solve problems, such as intersection detection, that can be eas
 ily solved on regular voxel grids for surface representations such as tria
 ngle mes...\n\n\nTobias Djuren, Ugo Finnendahl, Markus Worchel, Hendrik Me
 yer, and Marc Alexa (TU Berlin)\n---------------------\nUncertainty-aware 
 geometry processing on Gaussian Process Implicit Surfaces\n\nWe present a 
  geometry processing framework enabling computations directly on probabili
 stic representations of shapes. In contrast to classical geometry processi
 ng pipelines our approach considers uncertainty in the input data and acco
 unt for the distribution of plausible geometries, enabling a prin...\n\n\n
 Baptiste Genest and David Coeurjolly (CNRS, LIRIS)\n---------------------\
 nWinding Numbers & Surface Representations - Interactive Discussion\n\nAft
 er the summary presentations, attendees will participate in an interactive
  discussion. Outside the room will be a series of poster boards for author
 s to gather around with the audience. Authors are invited to bring any mat
 erial related to their paper that could instigate further conversation suc
 h...\n\n\nInterest Area: Research & Education\n\nKeyword: Fabrication, Geo
 metry, Modeling, Rendering\n\nRegistration Category: Full Conference Suppo
 rter, Full Conference\n\nSession Chair: Silvia Sellan (Columbia University
 )
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