Rockwood, Alyn ; Hildenbrand, Dietmar (2010)
Engineering Graphics in Geometric Algebra.
Buchkapitel, Bibliographie
Kurzbeschreibung (Abstract)
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.
| Typ des Eintrags: | Buchkapitel |
|---|---|
| Erschienen: | 2010 |
| Autor(en): | Rockwood, Alyn ; Hildenbrand, Dietmar |
| Art des Eintrags: | Bibliographie |
| Titel: | Engineering Graphics in Geometric Algebra |
| Sprache: | Englisch |
| Publikationsjahr: | 2010 |
| Verlag: | Springer, Berlin, Heidelberg, New York |
| Kurzbeschreibung (Abstract): | 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. |
| Freie Schlagworte: | Forschungsgruppe Geometric Algebra Computing (GACO), Geometric computing, Geometric algebra (GA), Approximation |
| Fachbereich(e)/-gebiet(e): | 20 Fachbereich Informatik 20 Fachbereich Informatik > Graphisch-Interaktive Systeme |
| Hinterlegungsdatum: | 12 Nov 2018 11:16 |
| Letzte Änderung: | 12 Nov 2018 11:16 |
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