Let P be a simple polygon with m vertices, k of which are reflex, and which contains r red points and b blue points in its interior. Let n = m + r + b. A ham-sandwich geodesic is ...
Prosenjit Bose, Erik D. Demaine, Ferran Hurtado, J...
The layered depth image (LDI) is a popular approach to represent three-dimensional objects with complex geometry for image-based rendering (IBR). LDI contains several attribute val...
We consider two variants of the well-known “sailor in the fog” puzzle. The first version (the “asteroid surveying” problem) is set in three dimensions and asks for the sh...
Timothy M. Chan, Alexander Golynski, Alejandro L&o...
Given a Morse function over a 2-manifold with or without boundary, the Reeb graph is obtained by contracting the connected components of the level sets to points. We prove tight u...
Kree Cole-McLaughlin, Herbert Edelsbrunner, John H...
In this paper we introduce, analyze and quantitatively compare a number of surface simplification methods for point-sampled geometry. We have implemented incremental and hierarchi...