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» Exact Geometric and Algebraic Computations in CGAL
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ICA3PP
2010
Springer
14 years 16 days ago
Modular Resultant Algorithm for Graphics Processors
Abstract. In this paper we report on the recent progress in computing bivariate polynomial resultants on Graphics Processing Units (GPU). Given two polynomials in Z[x, y], our algo...
Pavel Emeliyanenko
COMPGEOM
2003
ACM
14 years 1 months ago
The smallest enclosing ball of balls: combinatorial structure and algorithms
We develop algorithms for computing the smallest enclosing ball of a set of n balls in d-dimensional space. Unlike previous methods, we explicitly address small cases (n ≤ d + 1...
Kaspar Fischer, Bernd Gärtner
COMGEO
2010
ACM
13 years 7 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
GIS
2003
ACM
14 years 28 days ago
Construction of the planar partition postal code map based on cadastral reGIStration
Accurate postal code maps have many applications within GIS as the postal code has the potential to link the address description of buildings to their location in a specified glob...
Friso Penninga, Edward Verbree, Wilko Quak, Peter ...
COMPGEOM
2006
ACM
14 years 1 months ago
Complete subdivision algorithms, I: intersection of Bezier curves
We give the first complete subdivision algorithm for the intersection of two Bezier curves F, G, possibly with tangential intersections. Our approach to robust subdivision algori...
Chee-Keng Yap