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CG
2005
Springer
13 years 4 months ago
Geometric computing in computer graphics using conformal geometric algebra
Early in the development of Computer Graphics it was realized that projective geometry was well suited for the representation of transformations. Now, it seems that another change...
Dietmar Hildenbrand
GIAE
2004
Springer
181views Mathematics» more  GIAE 2004»
13 years 10 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
ICRA
2005
IEEE
130views Robotics» more  ICRA 2005»
13 years 10 months ago
Advanced Geometric Approach for Graphics and Visual Guided Robot Object Manipulation
— This paper presents an approach to deal with standard tasks of computer animations and robotics based on Conformal Geometric Algebra. We will show that this algebra is very wel...
Dietmar Hildenbrand, Eduardo Bayro-Corrochano, Jul...
CIARP
2009
Springer
13 years 11 months ago
Optimizations and Performance of a Robotics Grasping Algorithm Described in Geometric Algebra
Abstract. The usage of Conformal Geometric Algebra leads to algorithms that can be formulated in a very clear and easy to grasp way. But it can also increase the performance of an ...
Florian Wörsdörfer, Florian Stock, Eduar...
FCCM
2009
IEEE
204views VLSI» more  FCCM 2009»
13 years 8 months ago
Acceleration and Energy Efficiency of a Geometric Algebra Computation using Reconfigurable Computers and GPUs
Geometric algebra (GA) is a mathematical framework that allows the compact description of geometric relationships and algorithms in many fields of science and engineering. The exe...
Holger Lange, Florian Stock, Andreas Koch, Dietmar...