4 papers · 1 filter
Subgrid Marching Tetrahedra
Hossein Baktash, Mark Gillespie, Keenan Crane
We describe a method for recovering a manifold, intersection-free triangle mesh from the points where edges of a tetrahedral grid pierce a continuous surface. Unlike classic marchi…
Implicit Minimal Surfaces for Bijective Correspondences
Etienne Corman, Yousuf Soliman, Robin Magnet +1
We introduce an implicit representation of continuous, bijective, orientation-preserving maps between genus zero surfaces with or without boundary. The distortion of these maps can…
Surface Simplification using Intrinsic Error Metrics
Hsueh-Ti Derek Liu, Mark Gillespie, Benjamin Chislett +3
This paper describes a method for fast simplification of surface meshes. Whereas past methods focus on visual appearance, our goal is to solve equations on the surface. Hence, rath…
Integer Coordinates for Intrinsic Geometry Processing
Mark Gillespie, Nicholas Sharp, Keenan Crane
In this work, we present a general, efficient, and provably robust representation for intrinsic triangulations. These triangulations have emerged as a powerful tool for robust geom…