Cyclides in computer aided geometric design
Computer Aided Geometric Design
Cyclides in Surface and Solid Modeling
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Cyclides in computer aided geometric design II
Computer Aided Geometric Design
Rational blending surfaces between quadrics
Computer Aided Geometric Design
Blending two cones with Dupin cyclides
Computer Aided Geometric Design
Computer Aided Geometric Design
Do blending and offsetting commute for Dupin cyclides?
Computer Aided Geometric Design
A Menagerie of Rational B-Spline Circles
IEEE Computer Graphics and Applications
Bounded domain, bi-quadratic rational parametrizations of Dupin cyclides
International Journal of Computer Mathematics
Invariant-geometry conditions for the rational bi-quadratic Bézier surfaces
Computer Aided Geometric Design
Rational maximal parametrisations of dupin cyclides
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
Construction of 3D Triangles on Dupin Cyclides
International Journal of Computer Vision and Image Processing
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This paper uses the symmetry properties of circles and Bernstein polynomials to establish a series of interesting barycentric properties of rational biquadratic Bézier patches. A robust algorithm is presented, based on these properties, for the conversion of Dupin cyclide patches into Bézier form. A set of conversion examples illustrates the use of this algorithm.