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The Domain of a Point Set Surface. Nina Amenta and Yong J. Kil University of California at Davis. x. (x). (x). x. Introduction. Motivation. MLS. Our Line Integral. Understanding MLS. MLS. e(x,a). n(x). Amenta, Kil, SIGGRAPH 2004. a. a. Gaussian Weight . Energy Field of MLS.
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The Domain of a Point Set Surface Nina Amenta and Yong J. Kil University of California at Davis
x (x) (x) x Introduction
Understanding MLS MLS e(x,a) n(x) Amenta, Kil, SIGGRAPH 2004
a a Gaussian Weight Energy Field of MLS Amenta, Kil, SIGGRAPH 2004
nMLS(x) Vector Field of MLS a Amenta, Kil, SIGGRAPH 2004
Energy on Extremal Surface Amenta, Kil, SIGGRAPH 2004
a ||e(x,a)|| Circular plot n(x) x
Normalized Gaussian Weight c c c Optimal Direction via Center of Mass
x Estimated Distance Function
x a Line IntegralnI(x)
Overall View eDIST & nI MLS Center of Mass Vector Field Energy Field Surface
Conclusion • Analyze various energy and vector fields. • nCOMworks well except at sharp corners. • eDIST approximates distance well. • nI works well, but expensive (Not recommend for 3D).
Thank you. Defining Surface plugin (to appear):http://www.pointshop3d.com Updated paper and slide:http://graphics.cs.ucdavis.edu/~yjkil/pub/domain.html