Euclidean geometric objects in the Clifford geometric algebra of {origin, 3-Space, infinity}

Bulletin of the Belgian Mathematical Society - Simon Stevin

Volumn 11, Issue 5, 2004, Pages 653-662

  Hitzer, Eckhard M S ^a  

^a UNIVERSITY OF FUKUI   (Japan)

Author keywords

3d euclidean object modeling; Clifford algebra; Geometric algebra; Horosphere; Orientation; Position; Radius

Indexed keywords

EID: 17044405190     PISSN: 13701444     EISSN: None     Source Type: Journal    
DOI: 10.36045/bbms/1110205625     Document Type: Article

References (16)

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5. G. Sobczyk, Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries, Lecture at Computational Noncommutative Algebra and Applications, July 6-19, 2003, http://www.prometheusinc.com/asi/algebra2003/ abstracts/sobczyk.pdf
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8. E. Hitzer, KamiWaAi - Interactive 3D Sketching with Java based on Cl(4, 1) Conformal Model of Euclidean Space, Advances in Applied Clifford Algebras 13(1) pp. 11-45 (2003). Compare also [9].
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10. C. Perwass, http://www.perwass.de/cbup/clu.html
11. D. Fontijne, T. Bouma, L. Dorst, Gaigen: a Geometric Algebra Implementation Generator, July 28, 2002, preprint. http://www.science.uva.nl/ga/ gaigen/files/20020728_gaigen.pdf
12. L. Dorst et. al., GAViewer: interactive geometric algebra with OpenGL visualization, http://www.science.uva.nl/ga/viewer/
13. E. Hitzer, The geometric product and derived products, preprint. http://sinai.mech.fukui-u.ac.jp/gala2/GAtopics/axioms.pdf
14. L. Dorst, D. Fontijne, An Algebraic Foundation for Object-Oriented Euclidean Geometry, in R. Nagaoka, H. Ishi, E. Hitzer (eds.), Proc. of Innovative Teaching of Mathematics with Geometric Algebra 2003, Nov. 20-22, Kyoto University, Japan, printed by the Research Institute for Mathematical Sciences, Kyoto University, July 2004.
15. E. Hitzer, Conic Sections in Geometric Algebra, Lecture at the International Workshop on Geometric Invariance and Applications in Engineering, May 24-28, 2004, Xian, China.
16. E. Hitzer, G. Utama, Homogeneous Model and Java Implementation, Preprint for the Mem. Fac. Eng. Fukui Univ. 53(1) (2005).