4 papers
The Configurational Element Method for Nonconvex Granular Media
Zhecheng Wang, Breannan Smith, Abhishek Madan +1
Granular media surround us, comprising everything from the ground we walk on to the foods we eat. Owing to their ubiquity our ability to understand and predict the mechanical evolu…
Local Surface Parameterizations via Smoothed Geodesic Splines
Abhishek Madan, David I. W. Levin
We present a general method for computing local parameterizations rooted at a point on a surface, where the surface is described only through a signed implicit function and a corre…
Uniform Sampling of Surfaces by Casting Rays
Selena Ling, Abhishek Madan, Nicholas Sharp +1
Randomly sampling points on surfaces is an essential operation in geometry processing. This sampling is computationally straightforward on explicit meshes, but it is much more diff…
Stochastic Barnes-Hut Approximation for Fast Summation on the GPU
Abhishek Madan, Nicholas Sharp, Francis Williams +2
We present a novel stochastic version of the Barnes-Hut approximation. Regarding the level-of-detail (LOD) family of approximations as control variates, we construct an unbiased es…