70 citations · 106 across the 8 of their papers we have counts for
10 papers
Implicit Surface Reconstruction with a Curl-free Radial Basis Function Partition of Unity Method
Kathryn P. Drake, Edward J. Fuselier, Grady B. Wright
Surface reconstruction from a set of scattered points, or a point cloud, has many applications ranging from computer graphics to remote sensing. We present a new method for this ta…
Locally supported, quasi-interpolatory bases for the approximation of functions on graphs
Edward J. Fuselier, John Paul Ward
Graph-based approximation methods are of growing interest in many areas, including transportation, biological and chemical networks, financial models, image processing, network flo…
A Partition of Unity Method for Divergence-free or Curl-free Radial Basis Function Approximation
Kathryn P. Drake, Edward J. Fuselier, Grady B. Wright
Divergence-free (div-free) and curl-free vector fields are pervasive in many areas of science and engineering, from fluid dynamics to electromagnetism. A common problem that arises…
A High-Order Radial Basis Function (RBF) Leray Projection Method for the Solution of the Incompressible Unsteady Stokes Equations
Edward J. Fuselier, Varun Shankar, Grady B. Wright
A new projection method based on radial basis functions (RBFs) is presented for discretizing the incompressible unsteady Stokes equations in irregular geometries. The novelty of th…
A Radial Basis Function Method for Computing Helmholtz-Hodge Decompositions
Edward J. Fuselier, Grady B. Wright
A radial basis function (RBF) method based on matrix-valued kernels is presented and analyzed for computing two types of vector decompositions on bounded domains: one where the nor…
Kernel Based Quadrature on Spheres and Other Homogeneous Spaces
E. Fuselier, T. Hangelbroek, F. J. Narcowich +2
Quadrature formulas for spheres, the rotation group, and other compact, homogeneous manifolds are important in a number of applications and have been the subject of recent research…