Obtaining implicit equations of supercyclides and definition of elliptic supercyclides

• Autorzy: Foufou S. , Garnier L.
• Języki publikacji: EN

Abstrakty

EN

The use of Dupin cyclides and supercyclides in CAGD applications has been the subject of many publications in the last decade. Dupin cyclides are low degree algebraic surfaces having both parametric and implicit representations. In this paper, we aim to give the necessary expansions to derive implicit equations of supercyclides in the affine as well as in the projective space, starting from equations of the Dupin cyclide and the transformation matrix. We introduce a particular subfamily of supercyclides, called elliptic supercyclides, and show how to use them for the blending of elliptic quadratic primitives. We also show how one can convert an elliptic supercyclide into a set of rational biquadratic Bézier patches.

Słowa kluczowe

EN

Dupin cyclides; supercyclides; projective and affine geometry

• Wydawca: Institute of Information Technology of the Warsaw University of Life Sciences – SGGW
• Czasopismo: Machine Graphics and Vision
• Rocznik: 2005
• Tom: Vol. 14, No. 2
• Strony: 123--144
• Opis fizyczny: Bibliogr. 35 poz., rys.

Twórcy

autor

Foufou S.

• LE21, UMR CNRS 5158, UFR Sciences, 21078 Dijon Cedex, France

autor

Garnier L.

• LE21, UMR CNRS 5158, UFR Sciences, 21078 Dijon Cedex, France

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