Article
The Effect of Parametrization on Subdivided Curves
Constructive Approximation
Document Type
Article
Publication Date
1-1-2004
Disciplines
- Education and
- Mathematics
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
Citation Information
Scott N. Kersey. "The Effect of Parametrization on Subdivided Curves" Brentwood, TNConstructive Approximation (2004) p. 243 - 254 Available at: http://works.bepress.com/scott_kersey/27/