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.

Muhammad Asghar, Ghulam Mustafa. (2018) Stationary and Non-Stationary Univariate Subdivision Schemes, Punjab University Journal of Mathematics, Volume 50, Issue 3.
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