Volume no :19, Issue no: 2, May (2018)

A NEW FIVE-POINT BINARY SUBDIVISION SCHEME WITH A PARAMETER

Author's: Yan Wang and Zhiming Li
Pages: [81] - [91]
Received Date: May 30, 2018
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121984

Abstract

A new five-point binary subdivision scheme with a parameter is proposed. By choice of appropriate parameters, some existing subdivision schemes such as the four-point binary interpolating scheme, the quartic B-spline scheme, and a class of five-point binary approximating scheme can be obtained. It is shown that the resulting curves are continuous for the certain range of the parameter.

Keywords

binary subdivision, smoothness.