Cyclides in solid modelling

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Cyclides in solid modelling: recent developments

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ACM Symposium on Solid and Physical Modeling archive
Proceedings on the second ACM symposium on Solid modeling and applications table of contents

Montreal, Quebec, Canada

Pages: 189 - 200

Year of Publication: 1993

ISBN:0-89791-584-4

Author

M. J. Pratt

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	Barner, M. (1987), 'Eine differentialgeometrische Kennzeichnung der allgemeinem Dupinschen Zykliden', Aequationes Mathematicae 34, 277-286.
	2	W. Boehm, On cyclides in geometric modeling, Computer Aided Geometric Design, v.7 n.1-4, p.243-255, Jun. 1990 [doi>10.1016/0167-8396(90)90034-O]
	3	Casey, 3. (1871), 'On cyclides and sphero-quartics', Phil. Trans. Roy. Soc. CLXI, 585-721.
	4	Chandru, V., Dutta, D. & Hoffmann, C. M. (1989), 'On the geometry of Dupin cyclides', The Visual Computer 5, 277-290.
	5	Darboux, G. (1896), Sur une classe remarquable de courbes et de surfaces alggbriques, 2nd edition, Gauthier-Villars, Paris.
	6	Dsrboux, G. (1917), Principes de gdom~trie analytiqne, Gauthier-Villars, Paris.
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	8	Degen, W. L. F. (1990), 'Generalised cyclides for use in computer aided geometric design', in Proe. IMA Conf. Mathematics of Surfaces IV, Bath, England, Sept. 1990; Oxford University Press, to appear.
	9	Wendelin L. F. Degen, Nets with Plane Silhouettes, Proceedings of the 5th IMA Conference on the Mathematics of Surfaces, p.117-133, September 14-16, 1992
	10	do Carmo, M. (1976), Differential Geometry of Curves and Surfaces, Prentice-Hall.
	11	Dabasish Dutta , Ralph R. Martin , Michael J. Pratt, Cyclides in Surface and Solid Modeling, IEEE Computer Graphics and Applications, v.13 n.1, p.53-59, January 1993 [doi>10.1109/38.180118]
	12	Eisenhart, L. P. (1909), Differential Geometry, Ginn, Boston.
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	16	Kaps, M. (1990), 'Teilfl~.chen einer Dupinschen Zyklide in B~zierdarstellung', PhD thesis, Faculty of Natural Sciences, Technical University of Braunsehweig, Germany.
	17	Lane, E. P. (1932), Projective Differential Geometry of Curves and Surfaces, University of Chicago Press.
	18	Martin, R. R. (1982), 'Principal Patches for Computational Geometry', PhD thesis, Cambridge University Engineering Department.
	19	Maxwell, J. C. (1868), 'On the eyelide', Quart J. Pure & Applied Math. IX, 111-126.
	20	Pedoe, D. (1988), Geometry: A Comprehensive Course, Dover.
	21	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]
	22	Mike Pratt, The virtues of cyclides in CAGD, Mathematical methods in computer aided geometric design II, Academic Press Professional, Inc., San Diego, CA, 1992
	23	Ching-Kuang Shene, Planar intersection and blending of natural quadrics, Johns Hopkins University, Baltimore, MD, 1993