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Gaalop - high performance parallel computing based on conformal geometric algebra

: Hildenbrand, Dietmar; Pitt, Joachim; Koch, Andreas


Bayro-Corrochano, E.:
Geometric algebra computing. In engineering and computer science : Third conference, AGACSE '2008; August 2008 in Grimma, Leipzig, Germany; selected contributions
Berlin: Springer, 2010
ISBN: 978-1-8499-6107-3
ISBN: 978-1-84996-108-0
International Conference on Applications of Geometric Algebras in Computer Science and Engineering (AGACSE) <3, 2008, Grimma>
Conference Paper
Fraunhofer IGD ()
geometric computing; geometric algebra; approximation; Forschungsgruppe Geometric Algebra Computing (GACO)

We present Gaalop (Geometric algebra algorithms optimizer) our tool for high performance computing based on conformal geometric algebra. The main goal of Gaalop is to realize implementations that are most likely faster than conventional solutions. In order to achieve this goal, our focus is on parallel target platforms like FPGA (field-programmable gate arrays) or the CUDA technology from NVIDIA. We describe the concepts, the current status, as well as the future perspectives of Gaalop dealing with optimized software implementations, hardware implementations as well as mixed solutions. An inverse kinematics algorithm of a humanoid robot is described as an example.