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COMPGEOM
2005
ACM
14 years 1 days ago
On the exact computation of the topology of real algebraic curves
We consider the problem of computing a representation of the plane graph induced by one (or more) algebraic curves in the real plane. We make no assumptions about the curves, in p...
Raimund Seidel, Nicola Wolpert
ARITH
2005
IEEE
14 years 1 days ago
Error-Free Computation of 8x8 2-D DCT and IDCT Using Two-Dimensional Algebraic Integer Quantization
This paper presents a novel error-free (infinite-precision) architecture for the fast implementation of both 2-D Discrete Cosine Transform and Inverse DCT. The architecture uses a...
Khan Wahid, Vassil S. Dimitrov, Graham A. Jullien
GIAE
2004
Springer
181views Mathematics» more  GIAE 2004»
14 years 3 months ago
Applications of Conformal Geometric Algebra in Computer Vision and Graphics
Abstract. This paper introduces the mathematical framework of conformal geometric algebra (CGA) as a language for computer graphics and computer vision. Specifically it discusses ...
Rich Wareham, Jonathan Cameron, Joan Lasenby
DIMACS
2001
13 years 11 months ago
Visibility Computations: From Discrete Algorithms to Real Algebraic Geometry
We investigate visibility computations with moving viewpoints. The initial problems are of discrete and algorithmic nature, but even for simple classes of objects (such as balls an...
Thorsten Theobald
JAR
1998
134views more  JAR 1998»
13 years 9 months ago
Integrating Computer Algebra into Proof Planning
Mechanized reasoning systems and computer algebra systems have different objectives. Their integration is highly desirable, since formal proofs often involve both of the two differ...
Manfred Kerber, Michael Kohlhase, Volker Sorge