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COMPGEOM
2004
ACM
15 years 10 months ago
Geodesic ham-sandwich cuts
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...
PCM
2004
Springer
91views Multimedia» more  PCM 2004»
15 years 10 months ago
Preprocessing of Depth and Color Information for Layered Depth Image Coding
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...
Seung-Uk Yoon, Sung-Yeol Kim, Yo-Sung Ho
COMPGEOM
2003
ACM
15 years 10 months ago
the asteroid surveying problem and other puzzles
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...
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COMPGEOM
2003
ACM
15 years 10 months ago
Loops in reeb graphs of 2-manifolds
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...
VISUALIZATION
2002
IEEE
15 years 10 months ago
Efficient Simplification of Point-Sampled Surfaces
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...
Mark Pauly, Markus H. Gross, Leif Kobbelt