On the planar intersection of natural quadrics

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On the planar intersection of natural 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: 233 - 242

Year of Publication: 1991

ISBN:0-89791-427-9

Authors

Ching-Kuang Shene	Department of Computer Science, The Johns Hopkins University, Baltimore, Maryland
John K. Johnstone	Department of Computer Science, The Johns Hopkins University, Baltimore, Maryland

Sponsor

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

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 2, Downloads (12 Months): 22, Citation Count: 4

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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.

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	2	William H. Drew, A Geometrical Treatise on Conic Sections, fifth edition, Macmillan and Co., 1875.
	3	R. T. Farouki , C. Neff , M. A. O'Conner, Automatic parsing of degenerate quadric-surface intersections, ACM Transactions on Graphics (TOG), v.8 n.3, p.174-203, July 1989 [doi>10.1145/77055.77058]
	4	Ronald N. Goldman and james R. Miller, Detecting and Calculating Conic Sections in the Intersection of Two Natural Quadric Surfaces, Part I: Detection, Draft, October 1990.
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	6	D. G. IIakala, R. C. Hillyard, B. E. Nourse and P. J. Malraison, Natural Quadrics in Mechanical Design, Proceedings of A utofact West 1, Anaheim, CA., Nov. 1980, pp. 363-378.
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	9	Joshua Levin, A parametric algorithm for drawing pictures of solid objects composed of quadric surfaces, Communications of the ACM, v.19 n.10, p.555-563, Oct. 1976 [doi>10.1145/360349.360355]
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	13	Pierce Morton, On the Focus of a Conic Section, Transactions of the Cambridge Philosophical Society, Vol. 3 (1827-1830), pp. 185-191.
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	15	L. Piegl, Geometric method of intersecting natural quadrics represented in trimmed surface form, Computer-Aided Design, v.21 n.4, p.201-212, May 1989 [doi>10.1016/0010-4485(89)90045-6]
	16	M. J. Pratt, Cyclides in computer aided geometric design, Computer Aided Geometric Design, v.7 n.1-4, p.221-242, Jun. 1990 [doi>10.1016/0167-8396(90)90033-N]
	17	Ramon F. Sarraga, Algebraic Methods for Intersections of Quadric Surfaces in GMSOLID, Computer Vision, Graphics, and Image Processing, Vol. 22(1983), pp. 222-238.
	18	Charles Taylor, An Introduction to Ancient and Modern Geometry of Conics, Cambridge University Press, London, 1881.
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CITED BY 4

	Ching-Kuang Shene , John K. Johnstone, On the lower degree intersections of two natural quadrics, ACM Transactions on Graphics (TOG), v.13 n.4, p.400-424, Oct. 1994
	Ching-Kuang Shene, Planar intersection, common inscribed sphere and Dupin blending cyclides, Proceedings on the second ACM symposium on Solid modeling and applications, p.487-488, May 19-21, 1993, Montreal, Quebec, Canada
	Yang Liu , Fa-Lai Chen, Algebraic conditions for classifying the positional relationships between two conics and their applications, Journal of Computer Science and Technology, v.19 n.5, p.665-673, September 2004
	Elmar Schömer , Nicola Wolpert, An exact and efficient approach for computing a cell in an arrangement of quadrics, Computational Geometry: Theory and Applications, v.33 n.1-2, p.65-97, January 2006