Gaalop—High Performance Parallel Computing Based on Conformal Geometric Algebra

  • Dietmar HildenbrandEmail author
  • Joachim Pitt
  • Andreas Koch


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, current status, and future perspectives of Gaalop dealing with optimized software implementations, hardware implementations, and mixed solutions. An inverse kinematics algorithm of a humanoid robot is described as an example.


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Copyright information

© Springer-Verlag London 2010

Authors and Affiliations

  • Dietmar Hildenbrand
    • 1
    Email author
  • Joachim Pitt
    • 1
  • Andreas Koch
    • 2
  1. 1.Interactive Graphics Systems GroupUniversity of Technology DarmstadtDarmstadtGermany
  2. 2.Embedded Systems and Applications GroupUniversity of Technology DarmstadtDarmstadtGermany

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