3 papers
cs.GR2026
Spatially Accelerated Winding Numbers for Curved Geometry
Jacob Spainhour, Brad Whitlock, Kenneth Weiss
The generalized winding number (GWN) is a scalar field that supports robust containment queries on curved geometry, including non-watertight, overlapping, and nested boundary repre…
cs.GR2025
Robust Containment Queries over Collections of Trimmed NURBS Surfaces via Generalized Winding Numbers
Jacob Spainhour, Kenneth Weiss
We propose a containment query that is robust to the watertightness of regions bound by trimmed NURBS surfaces, as this property is difficult to guarantee for in-the-wild CAD model…
cs.CG2024
Robust Containment Queries over Collections of Rational Parametric Curves via Generalized Winding Numbers
Jacob Spainhour, David Gunderman, Kenneth Weiss
Point containment queries for regions bound by watertight geometric surfaces, i.e., closed and without self-intersections, can be evaluated straightforwardly with a number of well-…