Gaalop—High Performance Parallel Computing Based on Conformal Geometric Algebra [chapter]

Dietmar Hildenbrand, Joachim Pitt, Andreas Koch
2010 Geometric Algebra Computing  
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
more » ... with optimized software implementations, hardware implementations as well as mixed solutions. An inverse kinematics algorithm of a humanoid robot is described as an example.
doi:10.1007/978-1-84996-108-0_22 fatcat:d2ymfzzfbbau7i2xymhst4vbm4