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VISUALIZATION
2002
IEEE
13 years 11 months ago
Computing Singularities of 3D Vector Fields with Geometric Algebra
Critical points of a vector field are key to their characterization. Not only their positions but also their indexes are crucial for understanding vector fields. Considerable wo...
Stephen Mann, Alyn P. Rockwood
ICMS
2010
13 years 4 months ago
Exact Geometric and Algebraic Computations in CGAL
We summarize recent progress and on-going developments for exact geometric and algebraic computations within the Computational Geometry Algorithms Library (Cgal). We detail the exi...
Menelaos I. Karavelas
COMPGEOM
2000
ACM
13 years 10 months ago
Look - a Lazy Object-Oriented Kernel for geometric computation
In this paper we describe and discuss a new kernel design for geometric computation in the plane. It combines different kinds of floating-point filter techniques and a lazy eval...
Stefan Funke, Kurt Mehlhorn
SAMOS
2010
Springer
13 years 4 months ago
Accelerating high-level engineering computations by automatic compilation of Geometric Algebra to hardware accelerators
Abstract—Geometric Algebra (GA), a generalization of quaternions, is a very powerful form for intuitively expressing and manipulating complex geometric relationships common to en...
Jens Huthmann, Peter Muller, Florian Stock, Dietma...
AMC
2010
114views more  AMC 2010»
13 years 6 months ago
Witness sets of projections
Elimination is a basic algebraic operation which geometrically corresponds to projections. This article describes using the numerical algebraic geometric concept of witness sets t...
Jonathan D. Hauenstein, Andrew J. Sommese