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» Focal surfaces of discrete geometry
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DGCI
2005
Springer
14 years 1 months ago
Generalized Functionality for Arithmetic Discrete Planes
Naive discrete planes are well known to be functional on a coordinate plane. The aim of our paper is to extend the functionality concept to a larger family of arithmetic discrete ...
Valérie Berthé, Christophe Fiorio, D...

Publication
338views
12 years 5 months ago
A Reference Discretization Strategy for the Numerical Solution of Physical Field Problems.
I. Introduction II. Foundations A. The Mathematical Structure of Physical Field Theories B. Geometric Objects and Orientation 1. Space-Time Object...
Claudio Mattiussi
ICPR
2008
IEEE
14 years 2 months ago
Linear time recognition algorithms for topological invariants in 3D
In this paper, we design linear time algorithms to recognize and determine topological invariants such as genus and homology groups in 3D. These invariants can be used to identify...
Li Chen, Yongwu Rong
COMPGEOM
2003
ACM
14 years 24 days ago
Curve-sensitive cuttings
We introduce (1/r)-cuttings for collections of surfaces in 3-space that are sensitive to an additional collection of curves. Specifically, let S be a set of n surfaces in R3 of c...
Vladlen Koltun, Micha Sharir
COMPGEOM
2008
ACM
13 years 9 months ago
The complexity of the outer face in arrangements of random segments
We investigate the complexity of the outer face in arrangements of line segments of a fixed length in the plane, drawn uniformly at random within a square. We derive upper bounds ...
Noga Alon, Dan Halperin, Oren Nechushtan, Micha Sh...