10 citations · 18 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
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 stable algorithm for divergence-free radial basis functions in the flat limit
Kathryn P. Drake, Grady B. Wright
The direct method used for calculating smooth radial basis function (RBF) interpolants in the flat limit becomes numerically unstable. The RBF-QR algorithm bypasses this ill-condit…
A Fast and Accurate Algorithm for Spherical Harmonic Analysis on HEALPix Grids with Applications to the Cosmic Microwave Background Radiation
Kathryn P. Drake, Grady B. Wright
The Hierarchical Equal Area isoLatitude Pixelation (HEALPix) scheme is used extensively in astrophysics for data collection and analysis on the sphere. The scheme was originally de…