181 citations · 283 across the 6 of their papers we have counts for
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Grid-Free Monte Carlo for Time-Dependent Diffusion
Zihong Zhou, Rohan Sawhney, Eugene d'Eon +1
Many scientific applications require modeling how diffusive systems evolve over time, not merely their eventual steady states. While conventional steady-state analysis of partial d…
Solving partial differential equations in participating media
Bailey Miller, Rohan Sawhney, Keenan Crane +1
We consider the problem of solving partial differential equations (PDEs) in domains with complex microparticle geometry that is impractical, or intractable, to model explicitly. Dr…
Differential Walk on Spheres
Bailey Miller, Rohan Sawhney, Keenan Crane +1
We introduce a Monte Carlo method for computing derivatives of the solution to a partial differential equation (PDE) with respect to problem parameters (such as domain geometry or…
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…
Decorrelating ReSTIR Samplers via MCMC Mutations
Rohan Sawhney, Daqi Lin, Markus Kettunen +4
Monte Carlo rendering algorithms often utilize correlations between pixels to improve efficiency and enhance image quality. For real-time applications in particular, repeated reser…
Grid-Free Monte Carlo for PDEs with Spatially Varying Coefficients
Rohan Sawhney, Dario Seyb, Wojciech Jarosz +1
Partial differential equations (PDEs) with spatially-varying coefficients arise throughout science and engineering, modeling rich heterogeneous material behavior. Yet conventional…
Boundary First Flattening
Rohan Sawhney, Keenan Crane
A conformal flattening maps a curved surface to the plane without distorting angles---such maps have become a fundamental building block for problems in geometry processing, numeri…