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A Note on the Torsion of Bernstein Curves

Published online by Cambridge University Press:  20 November 2018

Martin E. Price*
Affiliation:
Framingham State College, Framingham, MA 01701
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Abstract

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It is shown that Bernstein Polynomials do not diminish the total “twist” of space curves in contrast to their length and curvature diminishing properties. This phenomenon is shown to be related to the fact that Bernstein Polynomials of a plane curve may have more inflections than the curve possesses.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1984

References

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4. Schoenberg, I. J., Variation diminishing approximation methods (from “On Numerical Approximation”), University of Wisconsin (1959), pp. 249274.Google Scholar