Stationary and Non-Stationary Univariate Subdivision Schemes

Authors

  • Muhammad Asghar Department of Mathematics, The Islamia University of Bahawalpur, Pakistan.
  • Ghulam Mustafa Department of Mathematics, The Islamia University of Bahawalpur, Pakistan.

Keywords:

Higher arity, stationary and non-stationary subdivision scheme, polynomial generation and reproduction, conic reproduction

Abstract

The generalized symbols for family of b-ary (b ≥ 2), univariate stationary and non-stationary subdivision schemes have been presented. These symbols are based on Lane-Riesenfeld algorithm. In binary case, uniform B-splines schemes, Hormann and Sabin family, and Novara and Romani family of schemes can be derived from our schemes. In higher arity case, we present the analysis of proposed family in stationary context.

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Published

2018-09-30

Issue

Vol. 50 No. 3 (2018)

Section

Articles

How to Cite

Stationary and Non-Stationary Univariate Subdivision Schemes. (2018). Punjab University Journal of Mathematics, 50(3), 25-42. https://pujm.pu.edu.pk/index.php/pujm/article/view/138