ABSTRACT
Abstract. Subdivision started as a tool for efficient computation of spline functions, and is now an independent subject with many applica tions. It is used for developing new methods for curve and surface design, for approximation, for generating wavelets and multiresolution analysis, and also for solving some classes of functional equations. This paper re views recent new directions and new developments in subdivision analysis. Extensions of the uniform stationary binary subdivision process and their analysis are presented. These include non-stationary subdivision, nonuniform subdivision, integral subdivision, distributional subdivision, and the convergence of the above in the strong and in the weak sense.
