The Effect of Parametrization on Subdivided Curves

Scott N. Kersey

The Effect of Parametrization on Subdivided Curves

Scott N. Kersey

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

This paper investigates effects that result from using different parametrizations on a particular variational subdivision scheme. The parametrizations we are considering are chordal and centripetal, and the subdivision scheme is interpolatory. It is shown that, for the chordal parametrization, the intermediate (new) points may coalesce with the interpolated (old) points (hence knots coalesce), but for the centripetal parametrization with exponent in the range 0

Original language	American English
Journal	Constructive Approximation
State	Published - Jan 1 2004

Disciplines

Education
Mathematics

Keywords

Parametrization
Subdivided Curves

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https://www.researchgate.net/publication/265442894_The_effect_of_parametrization_on_subdivided_curves

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title = "The Effect of Parametrization on Subdivided Curves",

abstract = " This paper investigates effects that result from using different parametrizations on a particular variational subdivision scheme. The parametrizations we are considering are chordal and centripetal, and the subdivision scheme is interpolatory. It is shown that, for the chordal parametrization, the intermediate (new) points may coalesce with the interpolated (old) points (hence knots coalesce), but for the centripetal parametrization with exponent in the range 0",

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N2 - This paper investigates effects that result from using different parametrizations on a particular variational subdivision scheme. The parametrizations we are considering are chordal and centripetal, and the subdivision scheme is interpolatory. It is shown that, for the chordal parametrization, the intermediate (new) points may coalesce with the interpolated (old) points (hence knots coalesce), but for the centripetal parametrization with exponent in the range 0

AB - This paper investigates effects that result from using different parametrizations on a particular variational subdivision scheme. The parametrizations we are considering are chordal and centripetal, and the subdivision scheme is interpolatory. It is shown that, for the chordal parametrization, the intermediate (new) points may coalesce with the interpolated (old) points (hence knots coalesce), but for the centripetal parametrization with exponent in the range 0

KW - Parametrization

KW - Subdivided Curves

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/538

UR - https://www.researchgate.net/publication/265442894_The_effect_of_parametrization_on_subdivided_curves

M3 - Article

SN - 0176-4276

JO - Constructive Approximation

JF - Constructive Approximation

ER -

The Effect of Parametrization on Subdivided Curves

Abstract

Disciplines

Keywords

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