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Foundations of geometric algebra computing /
"The author defines "Geometric Algebra Computing" as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a power...
| Main Author: | |
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| Format: | Printed Book |
| Language: | English |
| Published: |
New York:
Springer,
2013.
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| Series: | Geometry and computing ;
8. |
| Subjects: |
Table of Contents:
- 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
- Geometric algebra computers.