Modeling 3D Euclidean geometry

IEEE Computer Graphics and Applications

Volumn 23, Issue 2, 2003, Pages 68-78

  Fontijne, Daniel ^a   Dorst, Leo ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; MATRIX ALGEBRA; RAY TRACING; THREE DIMENSIONAL;

EUCLIDEAN COMPUTATIONS;

GEOMETRY;

EID: 0037341609     PISSN: 02721716     EISSN: None     Source Type: Journal    
DOI: 10.1109/MCG.2003.1185582     Document Type: Review

References (10)

1. R. Goldman, "Illicit Expressions in Vector Algebra," ACM Trans. Graphics, vol. 4, no. 3, July 1985, pp. 223-243.
2. R. Goldman, "On the Algebraic and Geometric Foundations of Computer Graphics," ACM Trans. Graphics, vol. 21, no. 1, Jan. 2002, pp. 52-86.
3. S. Mann, N. Litke, and T. DeRose, A Coordinate Free Geometry ADT, research report CS-97-15, Computer Science Dept., Univ. of Waterloo, 1997.
4. T. DeRose, Coordinate-Free Geometric Programming, tech. report 89-09-16, Dept. of Computer Science, Univ. of Washington, Sept. 1989.
5. L. Dorst and S. Mann, "Geometric Algebra: A Computation Framework for Geometrical Application, Part 1," IEEE Computer Graphics and Applications, vol. 22, no. 3, May/June 2002, pp. 24-31.
6. S. Mann and L. Dorst, "Geometric Algebra: A Computation Framework for Geometrical Application, Part 2," ZEEE Computer Graphics and Applications, vol, 22, no. 4, July/Aug. 2002, pp. 58-67.
7. D. Hestenes, H. Li, and A. Rockwood, "A Unified Algebraic Framework for Classical Geometry," Geometric Computing with Clifford Algebra, G. Sommer, ed., Springer, 1999, http://modelingnts.la.asu.edu/html/UAFCG.html.
8. A.S. Glassner, ed., An Introduction To Ray Tracing, Academic Press, 1989.
9. D. Fontijne, T. Bouma, and L. Dorst, Gaigen: a Geometric Algebra Implementation Generator, http://www.science. uva.nl/̃fontijne/raytracer.
10. J. Stolfi, Oriented Projective Geometry, Academic Press, 1991.