4 citations · 6 across the 7 of their papers we have counts for
3 papers · 1 filter
Counterexamples to Proofs for Volumetric Parameterization of Topological Sweeps
Caleb B. Goates, Kendrick M. Shepherd
Harmonic maps are important in generating parameterizations for various domains, particularly in two and three dimensions. General extensions of two-dimensional harmonic parameteri…
Tusqh: Topological Control of Volume-Fraction Meshes Near Small Features and Dirty Geometry
Brian Shawcroft, Kendrick M. Shepherd, Scott Mitchell
This work develops a framework to create meshes with user-specified homology from potentially dirty geometry by coupling background grids, persistent homology, and a generalization…
Construction of exact refinements for the two-dimensional hierarchical B-spline de Rham complex
Diogo C. Cabanas, Kendrick M. Shepherd, Deepesh Toshniwal +1
The de Rham complex arises naturally when studying problems in electromagnetism and fluid mechanics. Stable numerical methods to solve these problems can be obtained by using a dis…