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» Exact numerical computation in algebra and geometry
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JSC
2006
147views more  JSC 2006»
13 years 6 months ago
An algorithm to solve integer linear systems exactly using numerical methods
In this paper, we present a new algorithm for the exact solutions of linear systems with integer coefficients using numerical methods. It terminates with the correct answer in wel...
Zhendong Wan
COMPGEOM
2005
ACM
13 years 8 months ago
Shortest path amidst disc obstacles is computable
An open question in Exact Geometric Computation is whether there are transcendental computations that can be made “geometrically exact”. Perhaps the simplest such problem in c...
Ee-Chien Chang, Sung Woo Choi, DoYong Kwon, Hyungj...
ECCV
1994
Springer
14 years 7 months ago
On the Enumerative Geometry of Aspect Graphs
Most of the work achieved thus far on aspect graphs has concentrated on the design of algorithms for computing the representation. After reviewing how the space of viewpoints can b...
Sylvain Petitjean
COMPGEOM
2000
ACM
13 years 9 months ago
Algebraic methods and arithmetic filtering for exact predicates on circle arcs
The purpose of this paper is to present a new method to design exact geometric predicates in algorithms dealing with curved objects such as circular arcs. We focus on the comparis...
Olivier Devillers, Alexandra Fronville, Bernard Mo...
COMGEO
2010
ACM
13 years 6 months ago
An efficient algorithm for the stratification and triangulation of an algebraic surface
: We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f Q[x,y,z] of arbitrary total degree N. Additionally, our analy...
Eric Berberich, Michael Kerber, Michael Sagraloff