Constructing easily invertible Be´zier surfaces that parameterize general quadrics

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Constructing easily invertible Be´zier surfaces that parameterize general quadrics

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ACM Symposium on Solid and Physical Modeling archive
Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications table of contents

Austin, Texas, United States

Pages: 303 - 315

Year of Publication: 1991

ISBN:0-89791-427-9

Authors

Seth J. Teller	Computer Sciences Department, University of California, Berkeley, Berkeley, California
Carlo H. Séquin	Computer Sciences Department, University of California, Berkeley, Berkeley, California

Sponsor

SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

Publisher

ACM New York, NY, USA

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Pierre B6zier. Mathematical and Practical Possibilities of UNISURF, pages 127-152. Academic Press, 1965.
	2	James F. Blinn. The algebraic properties of homogeneous second order surfaces. In SIGGRAPH '84 Course Noles, pages 1-23, 1984.
	3	James E. Cobb. Tiling the sphere with rational B6zier patches. Technical Report UUCS-88-009, Department of Computer Science, University of Utah, Salt Lake City, Utah 84112, July 1988.
	4	P. de Casteljau. Courbes e~ Surfaces h P~les. A.A. Andre Citroen, 1959.
	5	Gerald Farin. Algorithms for rational B6zier curves. Compuier-Aided Design, 15(2):73-77, 1983.
	6	A.R. Forrest. The twisted cubic curve: a computer aided geometric design approach. Computer Aided Design, pages 165-172, 1980.
	7	Gordon Fuller. Analytic Geometry. Addison- Wesley, 1973.
	8	Christoph M. Hoffmann. Solid and Geometric Modeling. Morgan Kaufmann, 1989.
	9	Eugene T.Y. Lee. The rational B6zier representation for conics. In Gerald E. Farin, editor, Geometric Modeling: Algorithms and New Trends, pages 3-19. SIAM, 1985.
	10	Laszlo Piegl. Representation of quadric primitives by rational polynomials. Computer Aided Geometric Design, 2:151-155, 1985.
	11	L Piegl, The sphere as a rational Be´ier surface, Computer Aided Geometric Design, v.3 n.1, p.45-52, May 1986 [doi>10.1016/0167-8396(86)90023-3]
	12	Lawrence G. Roberts. Homogeneous matrix representation and manipulation of N-dimensional constructs. The Computer Display Review, July 1966.
	13	Alyn Rockwood , Kurt Heaton , Tom Davis, Real-time rendering of trimmed surfaces, ACM SIGGRAPH Computer Graphics, v.23 n.3, p.107-116, July 1989
	14	T.W. Sederberg and D.C. Anderson. Steiner surface patches. IEEE Computer Graphics and Applicalions, pages 23-36, 1985.
	15	D.M.Y. Sommerville. Analytical Geometry of Three Dimensions. Cambridge University Press, 1959.
	16	Seth J. Teller. B6zier surfaces that cover quadrics, and their equivalence to stereographic maps. Master's thesis, University of California at Berkeley, May 1990.
	17	Seth J Teller , Carlo H. Sequin, Modeling Implicit Quadrics and Free-form Surfaces With Trimmed, University of California at Berkeley, Berkeley, CA, 1990
	18	Joe Warren and Suresh Lodha. A B6zier representation for quadric surface patches. In Proceedings of SIAM '90, 1990.