Linear subdivision is strictly a polynomial phenomenon

Authors:
R. N. Goldman;D. C. Heath
Affiliations:
Control Data Corporation, 4201 North Lexington Avenue, AHS-251, Arden Hills, MN 55112, USA;Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN 55455, USA and School of Operations Research and Industrial Engineering, Cornell University, Ithaca, NY 148 ...
Venue:
Computer Aided Geometric Design
Year:
1984

Citing 1
Cited 1

A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces

IEEE Transactions on Pattern Analysis and Machine Intelligence

Optimal bases for a class of mixed spaces and their associated spline spaces

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper we give an elementary proof that polynomial curves are the only differentiable curves which permit subdivision by simple linear techniques. Subdivision methods for rational polynomial curves are also discussed.