Foundations of Geometric Algebra Computing
Dietmar HildenbrandThis book is organized into three parts: in Part I the author focuses on the mathematical foundations; in Part II he explains the interactive handling of geometric algebra; and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book is written in a tutorial style and readers should gain experience with the associated freely available software packages and applications.
The book is suitable for students, engineers, and researchers in computer science, computational engineering, and mathematics."--P. [4] of cover. Read more... Introduction -- Mathematical introduction -- Conformal geometric algebra -- Maple and the identification of quaternions and other algebras -- Fitting of planes or spheres to sets of points -- A tutorial on geometric algebra using CLUCalc -- Inverse kinematics of a simple robot -- Robot grasping an object -- Efficient computer animation application in CGA -- Using gaalop for high-performance geometric algebra computing -- Collision detection using the gaalop precompiler -- The gaalop precompiler for GPUs -- Molecular dynamics using gaalop GPC for OpenCL&nbs