3 papers
cs.GR2026
The Antipodal Method: Fast, Accurate, and Robust 3D Generalized Winding Numbers
Cedric Martens, Philip Trettner, Mikhail Bessmeltsev
Generalized winding numbers provide a robust measure of point insidedness for 3D surfaces - whether open, self-intersecting, or non-manifold - and are central to numerous geometry…
cs.GR2025
One-Shot Method for Computing Generalized Winding Numbers
Cedric Martens, Mikhail Bessmeltsev
The generalized winding number is an essential part of the geometry processing toolkit, allowing to quantify how much a given point is inside a surface, even when the surface has b…
cs.CV2025
Frenet-Serret Frame-based Decomposition for Part Segmentation of 3D Curvilinear Structures
Leslie Gu, Jason Ken Adhinarta, Mikhail Bessmeltsev +7
Accurately segmenting 3D curvilinear structures in medical imaging remains challenging due to their complex geometry and the scarcity of diverse, large-scale datasets for algorithm…