Topics in matrix analysis
Shape preserving representations
Mathematical methods in computer aided geometric design
Shape preserving properties of the generalised Ball basis
Computer Aided Geometric Design
Totally positive bases for shape preserving curve design and optimality of B-splines
Computer Aided Geometric Design
Efficient algorithms for Bézier curves
Computer Aided Geometric Design
Totally positive bases and progressive iteration approximation
Computers & Mathematics with Applications
Iterative refinement for Neville elimination
International Journal of Computer Mathematics - RECENT ADVANCES IN COMPUTATIONAL AND APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING
Loop subdivision surface based progressive interpolation
Journal of Computer Science and Technology
Weighted progressive iteration approximation and convergence analysis
Computer Aided Geometric Design
Local progressive-iterative approximation format for blending curves and patches
Computer Aided Geometric Design
The convergence of the geometric interpolation algorithm
Computer-Aided Design
Progressive interpolation using loop subdivision surfaces
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Sample-based polynomial approximation of rational Bézier curves
Journal of Computational and Applied Mathematics
Technical Section: An extended iterative format for the progressive-iteration approximation
Computers and Graphics
On the progressive iteration approximation property and alternative iterations
Computer Aided Geometric Design
Technical note: Progressive iteration approximation and the geometric algorithm
Computer-Aided Design
A comparison of different progressive iteration approximation methods
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
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All normalized totally positive bases satisfy the progressive iterative approximation property. The normalized B-basis has optimal shape preserving properties and we prove that it satisfies the progressive iterative approximation property with the fastest convergence rates. A similar result for tensor product surfaces is also derived.