Gaalop – high performance parallel computing based on conformal geometric algebra. 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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References in zbMATH (referenced in 7 articles , 1 standard article )
Showing results 1 to 7 of 7.
- Ahmad Hosney Awad Eid: Optimized Automatic Code Generation for Geometric Algebra Based Algorithms with Ray Tracing Application (2016) arXiv
- Benger, Werner; Heinzl, René; Hildenbrand, Dietmar; Weinkauf, Tino; Theisel, Holger; Tschumperlé, David: Differential methods for multi-dimensional visual data analysis (2015)
- Charrier, Patrick; Klimek, Mariusz; Steinmetz, Christian; Hildenbrand, Dietmar: Geometric algebra enhanced precompiler for C++, OpenCL and Mathematica’s OpenCLLink (2014)
- Fuchs, Laurent; Théry, Laurent: Implementing geometric algebra products with binary trees (2014)
- Hildenbrand, Dietmar: Foundations of geometric algebra computing. (2013)
- Yuan, Linwang; Yu, Zhaoyuan; Luo, Wen; Yi, Lin; Lü, Guonian: Geometric algebra for multidimension-unified geographical information system (2013)
- Hildenbrand, Dietmar; Pitt, Joachim; Koch, Andreas: Gaalop -- high performance parallel computing based on conformal geometric algebra (2010)