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Stephen Mann, Leo Dorst, "Geometric Algebra: A Computational Framework for Geometrical Applications (Part 2)," IEEE Computer Graphics and Applications, vol. 22, no. 4, pp. 5867, July/August, 2002.  
BibTex  x  
@article{ 10.1109/MCG.2002.1016699, author = {Stephen Mann and Leo Dorst}, title = {Geometric Algebra: A Computational Framework for Geometrical Applications (Part 2)}, journal ={IEEE Computer Graphics and Applications}, volume = {22}, number = {4}, issn = {02721716}, year = {2002}, pages = {5867}, doi = {http://doi.ieeecomputersociety.org/10.1109/MCG.2002.1016699}, 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 2) IS  4 SN  02721716 SP58 EP67 EPD  5867 A1  Stephen Mann, A1  Leo Dorst, PY  2002 KW  geometric algebra KW  Clifford algebra KW  rotation reprensentation KW  quaternions KW  dualization KW  meet KW  join KW  Plucker coordinates KW  homogeneous coordinates KW  geometric differentiation KW  computational geometry 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 coordinatefree specification of computational constructions. It contains primitives of any dimensionality (rather than just vectors). This second paper on the subject uses the basic products to represent rotations (naturally incorporating quaternions), intersections, and differentiation. It shows how using wellchosen geometric algebra models, we can eliminate special cases in incidence relationships, yet still have the efficiency of the Plucker coordinate intersection computations.
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