23 citations · 40 across the 6 of their papers we have counts for
7 papers
Validating Hexahedra through their Boundaries
Paul Zhang
Trilinear hexahedral mesh elements are used in finite element analysis to simulate volumetric phenomena. Realism of the simulation mandates that mesh elements through the trilinear…
Local Decomposition of Hexahedral Singular Nodes into Singular Curves
Paul Zhang, Judy Hsin-Hui Chiang, Xinyi +2
Hexahedral (hex) meshing is a long studied topic in geometry processing with many fascinating and challenging associated problems. Hex meshes vary in complexity from structured to…
Wassersplines for Neural Vector Field--Controlled Animation
Paul Zhang, Dmitriy Smirnov, Justin Solomon
Much of computer-generated animation is created by manipulating meshes with rigs. While this approach works well for animating articulated objects like animals, it has limited flex…
Sum-of-Squares Geometry Processing
Zoë Marschner, Paul Zhang, David Palmer +1
Geometry processing presents a variety of difficult numerical problems, each seeming to require its own tailored solution. This breadth is largely due to the expansive list of geom…
Interactive All-Hex Meshing via Cuboid Decomposition
Lingxiao Li, Paul Zhang, Dmitriy Smirnov +2
Standard PolyCube-based hexahedral (hex) meshing methods aim to deform the input domain into an axis-aligned PolyCube volume with integer corners; if this deformation is bijective,…
Octahedral Frames for Feature-Aligned Cross-Fields
Paul Zhang, Josh Vekhter, Edward Chien +3
We present a method for designing smooth cross fields on surfaces that automatically align to sharp features of an underlying geometry. Our approach introduces a novel class of ene…
Medial Axis Isoperimetric Profiles
Paul Zhang, Daryl Deford, Justin Solomon
Recently proposed as a stable means of evaluating geometric compactness, the isoperimetric profile of a planar domain measures the minimum perimeter needed to inscribe a shape with…