Computer Aided Geometric Design - Special issue: Topics in CAGD
Rational continuity: parametric, geometric, and Frenet frame continuity of rational curves
ACM Transactions on Graphics (TOG) - Special issue on computer-aided design
ACM Transactions on Graphics (TOG)
Basic functions for rational continuity
CG International '90 Proceedings of the eighth international conference of the Computer Graphics Society on CG International '90: computer graphics around the world
Varying the shape parameters of rational continuity
Curves and surfaces
Circle and sphere as rational splines
Neural, Parallel & Scientific Computations - computer aided geometric design
Accurate Parametrization of Conics by NURBS
IEEE Computer Graphics and Applications
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
Journal of Computational and Applied Mathematics
An approximating C2 non-stationary subdivision scheme
Computer Aided Geometric Design
Variations on the four-point subdivision scheme
Computer Aided Geometric Design
A subdivision scheme for surfaces of revolution
Computer Aided Geometric Design
Curvature of approximating curve subdivision schemes
Proceedings of the 7th international conference on Curves and Surfaces
Free-form splines combining NURBS and basic shapes
Graphical Models
Curvature-sensitive splines and design with basic curves
Computer-Aided Design
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We develop a class of rational, G^2-connected splines of degree 3 that allow modeling multiple basic shapes, such as segments of conics and circle arcs in particular, in one structure. @? This can be used, for example, to have portions of a control polygon exactly reproduce segments of the shapes while other portions blend between these primary shapes. We also show how to reparameterize the splines to obtain parametrically C^2 transitions.