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Engineering graphics in geometric algebra. (English) Zbl 1213.68656
Bayro-Corrochano, Eduardo (ed.) et al., Geometric algebra computing in engineering and computer science. London: Springer (ISBN 978-1-84996-107-3/hbk; 978-1-84882-914-5/ebook). 53-69 (2010).
Summary: 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, quaternions, 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.
For the entire collection see [Zbl 1190.68004].

MSC:
68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
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