34 citations · 35 across the 3 of their papers we have counts for
6 papers
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…
Repulsive Surfaces
Chris Yu, Caleb Brakensiek, Henrik Schumacher +1
Functionals that penalize bending or stretching of a surface play a key role in geometric and scientific computing, but to date have ignored a very basic requirement: in many situa…
Integer Coordinates for Intrinsic Geometry Processing
Mark Gillespie, Nicholas Sharp, Keenan Crane
In this work, we present a general, efficient, and provably robust representation for intrinsic triangulations. These triangulations have emerged as a powerful tool for robust geom…
A Survey of Algorithms for Geodesic Paths and Distances
Keenan Crane, Marco Livesu, Enrico Puppo +1
Numerical computation of shortest paths or geodesics on curved domains, as well as the associated geodesic distance, arises in a broad range of applications across digital geometry…
Repulsive Curves
Christopher Yu, Henrik Schumacher, Keenan Crane
Curves play a fundamental role across computer graphics, physical simulation, and mathematical visualization, yet most tools for curve design do nothing to prevent crossings or sel…
The Vector Heat Method
Nicholas Sharp, Yousuf Soliman, Keenan Crane
This paper describes a method for efficiently computing parallel transport of tangent vectors on curved surfaces, or more generally, any vector-valued data on a curved manifold. Mo…