From symmetric subdivision masks of Hurwitz type to interpolatory subdivision masks

Interpolatory subdivision schemes with infinite masks originated from splines

Abstract A generic technique for the construction of diversity of interpolatory subdivision schemes on the base of polynomial and discrete splines is presented in the paper. The devised schemes have rational symbols and infinite masks but they are competitive (regularity, speed of convergence, computational complexity) with the schemes that have finite masks. We prove exponential decay of basic...

Construction of Symmetric Tight Wavelet Frames from Quasi-interpolatory Subdivision Masks and their Applications

Subdivision schemes with nonnegative masks

The conjecture concerning the characterization of a convergent univariate subdivision algorithm with nonnegative finite mask is confirmed.

On Multivariate Subdivision Schemes with Nonnegative Finite Masks

We study the convergence of multivariate subdivision schemes with nonnegative finite masks. Consequently, the convergence problem for the multivariate subdivision schemes with nonnegative finite masks supported on centered zonotopes is solved. Roughly speaking, the subdivision schemes defined by these masks are always convergent, which gives an answer to a question raised by Cavaretta, Dahmen a...

Stationary and nonstationary affine combination of subdivision masks

One of the difficult task in subdivision is to create new effective subdivision schemes. Therefore, aim of this paper is a systematic analysis of affine combination of known subdivision masks to generate new subdivision schemes with enhanced properties. This will be done in the stationary and the non stationary case for the univariate and bivariate settings. © 2009 IMACS. Published by Elsevier ...