47 citations · 130 across the 16 of their papers we have counts for
3 papers · 1 filter
Boundary Value Caching for Walk on Spheres
Bailey Miller, Rohan Sawhney, Keenan Crane +1
Grid-free Monte Carlo methods such as walk on spheres can be used to solve elliptic partial differential equations without mesh generation or global solves. However, such methods i…
Walk on Stars: A Grid-Free Monte Carlo Method for PDEs with Neumann Boundary Conditions
Rohan Sawhney, Bailey Miller, Ioannis Gkioulekas +1
Grid-free Monte Carlo methods based on the walk on spheres (WoS) algorithm solve fundamental partial differential equations (PDEs) like the Poisson equation without discretizing th…
Physics-Based Inverse Rendering using Combined Implicit and Explicit Geometries
Guangyan Cai, Kai Yan, Zhao Dong +2
Mathematically representing the shape of an object is a key ingredient for solving inverse rendering problems. Explicit representations like meshes are efficient to render in a dif…