计算机图形学阅读论文读书报告.pdf

计算机图形学课程 关于计算机图形学的SIGGRAPH 论文阅读报告 学生：苏文烈 学号 专业：软件工程（数字媒体技术） 时间：2012 年5 月 1． Paper Title: Displacement Interpolation Using Lagrangian Mass Transport 2 ． Author: Nicolas Bonneel University of British Columbia, and ALICE/INRIA Nancy Michiel van de Panne University of British Columbia Sylvain Paris Adobe Systems, Inc. Wolfgang Heidrich University of British Columbia 3 ． Source: SIGGRAPH Asia 2011 papers on the web Displacement Interpolation Using Lagrangian Mass Transport 4 ． Publication: Proceeding SA 11 Proceedings of the 2011 SIGGRAPH Asia Conference ACM New York, NY, USA ©2011 table of contents ISBN: 978-1-4503-0807-6 doi10.1145/2024156.2024192 · Journal ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2011 TOG Homepage Volume 30 Issue 6, December 2011 ACM New York, NY, USA table of contents doi10.1145/2070781.2024192 5 ． What problem does it mainly solve? Interpolation between pairs of values, typically vectors, is a fundamental operation in many computer graphics applications. In some cases simple 计算机图形学课程 linear interpolation yields meaningful results without requiring domain knowledge. However, interpolation between pairs of distributions or pairs of functions often demands more care because features may exhibit translational motion between exemplars. This property is not captured by linear interpolation. This paper develops the use of displacement interpolation for this class of problem, which provides a generic method for interpolating between distributions or functions based on advection instead of blending. The functions can be non-uniformly sampled, high-dimensional, and defined on non-Euclidean manifolds, e.g., spheres and tori. Our method decomposes distributions or functions into sums of radial basis functions (RBFs). We solve a mass transport problem to pair the RBFs and apply partial transport t