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Acceleration and energy efficiency of a geometric algebra computation using reconfigurable computers and GPUs

 
: Lange, Holger; Stock, Florian; Koch, Andreas; Hildenbrand, Dietmar

:

Pocek, K.L. ; IEEE Computer Society:
17th IEEE Symposium on Field Programmable Custom Computing Machines, FCCM 2009. Proceedings : 5-7 April 2009, Napa, California, USA
Los Alamitos, Calif.: IEEE Computer Society Press, 2009
ISBN: 978-0-7695-3716-0
pp.255-258
Symposium on Field-Programmable Custom Computing Machines (FCCM) <17, 2009, Napa/Calif.>
English
Conference Paper
Fraunhofer IGD ()
Graphics Processing Unit (GPU); geometric algebra; inverse kinematic; Field Programmable Gate Array (FPGA); Forschungsgruppe Geometric Algebra Computing (GACO)

Abstract
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 execution of these algorithms, however, requires significant computational power that made the use of GA impractical for many real-world applications. We describe how a GA-based formulation of the inverse kinematics problem from computer animation and robotics can be accelerated using reconfigurable FPGA-based computing and using a graphics processing unit (GPU). The practical evaluation covers not only the sheer compute performance, but also the energy efficiency.

: http://publica.fraunhofer.de/documents/N-146260.html