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Engineering graphics in geometric algebra

: Rockwood, Alyn; Hildenbrand, Dietmar


Bayro-Corrochano, E.:
Geometric algebra computing. In engineering and computer science : Third conference, AGACSE '2008; August 2008 in Grimma, Leipzig, Germany; selected contributions
Berlin: Springer, 2010
ISBN: 978-1-8499-6107-3
ISBN: 978-1-84996-108-0
International Conference on Applications of Geometric Algebras in Computer Science and Engineering (AGACSE) <3, 2008, Grimma>
Conference Paper
Fraunhofer IGD ()
geometric computing; geometric algebra; approximation; Forschungsgruppe Geometric Algebra Computing (GACO)

We illustrate the suitability of geometric algebra for representing structures and developing algorithms in computer graphics, especially for engineering applications. A number of example applications are reviewed. Geometric algebra unites many underpinning mathematical concepts in computer graphics such as vector algebra and vector fields, quaternion's, kinematics and projective geometry, and it easily deals with geometric objects, operations and transformations. Not only are these properties important for computational engineering, but also for the computational point-of-view they provide. We also include the potential of geometric algebra for optimizations and highly efficient implementations.