Publications

Adaptive Grid Generation for Discretizing Implicit Complexes

An adaptive grid generation method that captures fine geometric details for implicit surfaces including their intersection curves and joint points

Isometric Energies for Recovering Injectivity in Constrained Mapping

A method for computing injective (one-to-one) and low-distortion maps under fixed-boundary or positional constraints

Robust Computation of Implicit Surface Networks for Piecewise Linear Functions

A robust method for computing implicit surface networks (e.g. arrangements and material interfaces) on a tetrahedron grid

Optimizing Global Injectivity for Constrained Parameterization

A method for globally injectively mapping a triangle mesh to plane while satisfying positional constraints

Boundary-Sampled Halfspaces: A New Representation for Constructive Solid Modeling

A novel representation for solid models to facilitate intuitive shape design and straightforward reverse engineering

Lifting Simplices to Find Injectivity

A method for injectively mapping 2D/3D meshes into a target domain

Quad Mesh Generation via Field-Aligned Centroidal Voronoi Tessellation

Generating high-quality quad-dominant meshes by aligning mesh edges to an underlying directional field and pairing triangles to quadrilaterals

Field-Aligned Isotropic Surface Remeshing

Isotropic remeshing triangle meshes by aligning triangle edges to a given directional field