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Scattered Data Interpolation for Computer Graphics
Tuesday, 14 December | 7:00 午後 - 10:45 午後 | Room 314
Interpolation is a fundamental topic in computer graphics. While textbooks have generally focused on "regular" interpolation schemes such as B-splines, scattered interpolation approaches also have been a wide variety of applications. These include topics in facial animation, skinning, morphing, rendering, and fluid simulation.
This best-practice guide to scattered data interpolation reviews the major algorithms for scattered interpolation, shows how and where they are applied in a variety of published graphics studies, and compares and contrasts them. The algorithms include Shepard interpolation, Wiener interpolation, Laplace and thin-plate interpolation, radial basis functions (RBFs), moving least squares, and kernel regression. The course summarizes stability and computational properties with a focus on real-time applications and provides some theoretical insights to broaden the course's engineering perspective.
Intermediate and advanced students, developers, and researchers working in many areas of graphics.
Presented in English / 영어로 발표 됨
Knowledge of linear algebra at the level required for intermediate or advanced graphics programming. The concluding section of the course requires basic calculus.
Introduction - Pighin
Survey of Applications
Skinning and facial animation
Rendering: precomputed radiance transfer
Survey of Scattered Interpolation Algorithms - Pighin, Lewis
Natural neighbor interpolation
Radial Basis Function Variants - Pighin
Laplace and Thin-Plate Interpolation - Lewis
Advanced Applications - Pighin
Interpolation on manifolds
Where do RBFs Come From? - Lewis
What kernels will interpolate?
Kernels, differential operators, and roughness penalties
The Deeper Theory - Anjyo
Reproducing kernel Hilbert spaces
OLM Digital, Inc.
J.P. Lewis is a research lead at Weta Digital and a part-time senior lecturer at Victoria University in Wellington, New Zealand. He has worked in both academic research and in the film industry, and his algorithms have been adopted by Matlab and commercial graphics software packages. He has published research involving several approaches to scattered interpolation, and in particular his pose-space deformation skinning approach is the subject of several industry implementations.
Fred Pighin's research interests are in data-driven animation. Before joining the StreetView team at Google, he was a research assistant professor at the University of Southern California and a technical lead at Industrial Light & Magic. He has published research in areas including eye movement, automatic partitioning of blendshape models, emotional speech animation, and the use of scattered interpolation for directing fluid simulations, and his pioneering work on construction and animation of 3D facial models from images is widely recognized.
Ken Anjyo is the digital-effects and R&D supervisor at OLM Digital and an affiliate professor at Kyushu University. He has published research on topics including natural phenomena and non-photorealistic rendering, and his work on hair simulation, motion editing, and view morphing is widely cited. His current research interests include construction of mathematical and computationally tractable models for computer graphics.