85 citations · 285 across the 40 of their papers we have counts for
5 papers · 1 filter
A generalized MBO diffusion generated motion for orthogonal matrix-valued fields
Braxton Osting, Dong Wang
We consider the problem of finding stationary points of the Dirichlet energy for orthogonal matrix-valued fields. Following the Ginzburg-Landau approach, this energy is relaxed by…
Consistency of Dirichlet Partitions
Braxton Osting, Todd Harry Reeb
A Dirichlet -partition of a domain is a collection of pairwise disjoint open subsets such that the sum of their first Laplace-Dirichlet eigenvalue…
Spectral Sparsification of Simplicial Complexes for Clustering and Label Propagation
Braxton Osting, Sourabh Palande, Bei Wang
As a generalization of the use of graphs to describe pairwise interactions, simplicial complexes can be used to model higher-order interactions between three or more objects in com…
An Approach to Quad Meshing Based on Harmonic Cross-Valued Maps and the Ginzburg-Landau Theory
Ryan Viertel, Braxton Osting
A generalization of vector fields, referred to as N-direction fields or cross fields when N = 4, has been recently introduced and studied for geometry processing, with applications…
A Variational Characterization of Fluid Sloshing with Surface Tension
Chee Han Tan, Christel Hohenegger, Braxton Osting
We consider the sloshing problem for an incompressible, inviscid, irrotational fluid in an open container, including effects due to surface tension on the free surface. We restrict…