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Original Articles

Bounded domain, bi-quadratic rational parametrizations of Dupin cyclides

Pages 1097-1111 | Received 06 Nov 2006, Accepted 24 May 2007, Published online: 04 Mar 2011

References

  • Bez , H. E. and Wetzel , T. J. Constructive path algebra – a tool for design, parametrisation and visualisation . Proceedings of Eurographics UK 2002 . pp. 97 – 104 . IEEE Computer Society Press .
  • Bez , H. E. and Wetzel , T. J. 2003 . Induced rational parametrisations of special curves . Int. J. Comput. Math. , 80 ( 9 ) : 1093 – 1109 .
  • Boehm , W. 1990 . On cyclides in geometric modeling . Comput. Aided Geom. Design , 7 : 243 – 255 .
  • Degen , W. Generalized cyclides for use in CAGD . Proceedings of the IMA Conference on the Mathematics of Surfaces IV . Oxford University Press .
  • Foufou , S. , Garnier , L. and Pratt , M. J. Conversion of Dupin cyclide patches into rational bi-quadratic Bézier form . Proceedings of the IMA Mathematics of Surfaces XI . Vol. 3604 , pp. 201 – 218 . Springer-Verlag, Lecture Notes in Computer Science
  • Martin , R. , de Pont , J. and Sharrock , T. J. Cyclide surfaces in computer aided design . Proceedings of the IMA Conference on the Mathematics of Surfaces . Oxford University Press .
  • Pratt , M. J. 1990 . Cyclides in computer aided geometric design . Comput. Aided Geome. Design , 7 : 221 – 242 .

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