20 citations · 26 across the 4 of their papers we have counts for
6 papers
Fast hierarchical low-rank view factor matrices for thermal irradiance on planetary surfaces
Samuel F. Potter, Stefano Bertone, Norbert Schörghofer +1
We present an algorithm for compressing the radiosity view factor model commonly used in radiation heat transfer and computer graphics. We use a format inspired by the hierarchical…
Numerical geometric acoustics: an eikonal-based approach for modeling sound propagation in 3D environments
Samuel F. Potter, Maria K. Cameron, Ramani Duraiswami
We present algorithms for solving high-frequency acoustic scattering problems in complex domains. The eikonal and transport partial differential equations from the WKB/geometric op…
Jet Marching Methods for Solving the Eikonal Equation
Samuel F. Potter, Maria K. Cameron
We develop a family of compact high-order semi-Lagrangian label-setting methods for solving the eikonal equation. These solvers march the total 1-jet of the eikonal, and use Hermit…
Ordered Line Integral Methods for Solving the Eikonal Equation
Samuel F. Potter, Maria K. Cameron
We present a family of fast and accurate Dijkstra-like solvers for the eikonal equation and factored eikonal equation which compute solutions on a regular grid by solving local var…
Computing the quasipotential for nongradient SDEs in 3D
Shuo Yang, Samuel F. Potter, Maria K. Cameron
Nongradient SDEs with small white noise often arise when modeling biological and ecological time-irreversible processes. If the governing SDE were gradient, the maximum likelihood…
Fast and Stable Pascal Matrix Algorithms
Samuel F. Potter, Ramani Duraiswami
In this paper, we derive a family of fast and stable algorithms for multiplying and inverting Pascal matrices that run in time and are closely related t…