Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Curve and surface construction using variable degree polynomial splines
Computer Aided Geometric Design
Blossoming beyond extended Chebyshev spaces
Journal of Approximation Theory
A 4-point Hermite subdivision scheme
Mathematical Methods for Curves and Surfaces
On a class of weak Tchebycheff systems
Numerische Mathematik
C1 Interpolatory Subdivision with Shape Constraints for Curves
SIAM Journal on Numerical Analysis
Polynomial cubic splines with tension properties
Computer Aided Geometric Design
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In this paper we present a very efficient Hermite subdivision scheme, based on rational functions, and outline its potential applications, with special emphasis on the construction of cubic-like B-splines - well suited for the design of constrained curves and surfaces.