General cyclides

Computer Aided Geometric Design

Volumn 15, Issue 7, 1998, Pages 699-710

  Paluszny, Marco ^a   Boehm, Wolfgang ^b  

^a FACULTAD DE CIENCIAS   (Venezuela)

^b NONE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; COMPUTER AIDED DESIGN;

DUPIN CYCLIDES;

COMPUTATIONAL GEOMETRY;

EID: 0032121552     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(98)00011-9     Document Type: Article

References (11)

1. Berger, M. (1978), Géométrie 5: La Sphère pour Elle-même, Géométrie Hyperbolique, Espace des Sphères, Cedic/Fernand Nathan.
2. Boehm, W. (1990), On cyclides in geometric modeling, Computer Aided Geometric Design 7, 243-255.
3. Coolidge, J.L. (1971), A Treatise on the Circle and the Sphere, Chelsea Publishing Company.
4. Fillmore, J.P. and Paluszny, M. (1995), On the geometry of a quadratic form: pencils and the Apollonius contact problem, Acta Científica Venezolana 46, 3-16.
5. Graustein, W.C. (1930), Introduction to Higher Geometry, The Macmillan Co, New York.
6. Muirhead, R.F. (1896), On the number and of the solutions of the Apollonius contact problem, Proc. Edinburgh Math Soc. 14, 135-147.
7. Pottmann, H. and Peternell, M. (1996a), Applications of Laguerre geometry in CAGD I, Tech. Report Nr. 30, Institut fuer Geometrie, Technische Universitaet Wien.
8. Pottmann, H. and Peternell, M. (1996b), Applications of Laguerre geometry in CAGD II, Tech. Report Nr. 31, Institut fuer Geometrie, Technische Universitaet Wien.
9. Pratt, M.J. (1990), Cyclides in computer aided geometric design, Computer Aided Geometric Design 7, 221-242.
10. Pratt, M.J. (1995), Cyclides in computer aided geometric design II, Computer Aided Geometric Design 12, 131-152.
11. Srinivas, J.L. and Dutta, D. (1995), Rational parametric representation of parabolic cyclide: formulation and applications, Computer Aided Geometric Design 12, 551-566.