Some Non-Stationary Subdivision Schemes

Authors:
Sunita Daniel;P. Shunmugaraj
Affiliations:
Indian Institute of Technology, Kanpur, India;Indian Institute of Technology, Kanpur, India
Venue:
GMAI '07 Proceedings of the Geometric Modelling and Imaging
Year:
2007

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Abstract

In this paper we present some non-stationary binary and ternary subdivision schemes with parameters for generating curves. Some of these schemes reproduce some trigonometric functions and, in particular, circles. One of these is a non-stationary version of the Chaikin's scheme and it generates trigonometric splines.