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| Leo Dorst, Stephen Mann, "Geometric Algebra: A Computational Framework for Geometrical Applications (Part 1)," IEEE Computer Graphics and Applications, vol. 22, no. 3, pp. 24-31, May/June, 2002. | |||
| BibTex | x | ||
| @article{ 10.1109/MCG.2002.999785, author = {Leo Dorst and Stephen Mann}, title = {Geometric Algebra: A Computational Framework for Geometrical Applications (Part 1)}, journal ={IEEE Computer Graphics and Applications}, volume = {22}, number = {3}, issn = {0272-1716}, year = {2002}, pages = {24-31}, doi = {http://doi.ieeecomputersociety.org/10.1109/MCG.2002.999785}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - MGZN JO - IEEE Computer Graphics and Applications TI - Geometric Algebra: A Computational Framework for Geometrical Applications (Part 1) IS - 3 SN - 0272-1716 SP24 EP31 EPD - 24-31 A1 - Leo Dorst, A1 - Stephen Mann, PY - 2002 KW - geometric algebra KW - Clifford algebra KW - subspaces KW - blades KW - geometric product KW - inner product KW - outer product. VL - 22 JA - IEEE Computer Graphics and Applications ER - | |||
Geometric algebra is a consistent computational framework in which to define geometric primitives and their relationships. This algebraic approach contains all geometric operators and permits specification of constructions in a coordinate-free manner. Thus, the ideas of geometric algebra are important for developers of CAD systems. This article gives an introduction to the elements of geometric algebra, which contains primitives of any dimensionality (rather than just vectors) and an introduction to three of the products of geometric algebra-the geometric product, the inner product, and the outer product. These products are illustrated by using them to solve simple geometric problems.
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