6533b823fe1ef96bd127f39a

RESEARCH PRODUCT

Conversion of Dupin Cyclide Patches into Rational Biquadratic Bézier Form

Michael J. PrattSebti FoufouLionel Garnier

subject

Pure mathematicsComputer Science::GraphicsSeries (mathematics)Dupin cyclideBézier curveSymmetry (geometry)Barycentric coordinate systemComputational geometryTopologyBernstein polynomialMathematicsPolynomial interpolation

description

This paper uses the symmetry properties of circles and Bernstein polynomials to establish a series of interesting barycentric properties of rational biquadratic Bezier patches. A robust algorithm is presented, based on these properties, for the conversion of Dupin cyclide patches into Bezier form. A set of conversion examples illustrates the use of this algorithm.

yearjournalcountryeditionlanguage
2005-01-01
https://doi.org/10.1007/11537908_12