Computer Aided Geometric Design - Special issue: Topics in CAGD
Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
Multiple-knot and rational cubic beta-splines
ACM Transactions on Graphics (TOG)
Cyclides in Surface and Solid Modeling
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
Circle and sphere as rational splines
Neural, Parallel & Scientific Computations - computer aided geometric design
Bezier and B-Spline Techniques
Bezier and B-Spline Techniques
Rational Beta-Splines for Representing Curves and Surfaces
IEEE Computer Graphics and Applications
Applications of Cyclide Surfaces in Geometric Modelling
Proceedings of the 3rd IMA Conference on the Mathematics of Surfaces
A rational quartic Bézier representation for conics
Computer Aided Geometric Design
Beta Continuity and Its Application to Rational Beta-splines
Beta Continuity and Its Application to Rational Beta-splines
Rational quadratic circles are parametrized by chord length
Computer Aided Geometric Design
Computing - Special issue on Geometric Modeling (Dagstuhl 2005)
C 1 NURBS representations of G 1 composite rational Bézier curves
Computing - Geometric Modelling, Dagstuhl 2008
Smooth Bi-3 spline surfaces with fewest knots
Computer-Aided Design
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We develop a rational biquadratic G^1 analogue of the non-uniform C^1 B-spline paradigm. These G^1 splines can exactly reproduce parts of multiple basic shapes, such as cyclides and quadrics, and combine them into one smoothly-connected structure. This enables a design process that starts with basic shapes, re-represents them in spline form and uses the spline form to provide shape handles for localized free-form modification that can preserve, in the large, the initial fair, basic shapes.