Self-similar and multiscaling functions of dimension r

Marcela Fabio; Eduardo P. Serrano

doi:10.1117/12.515316

13 November 2003 Self-similar and multiscaling functions of dimension r

Marcela Fabio, Eduardo P. Serrano

Proceedings Volume 5207, Wavelets: Applications in Signal and Image Processing X; (2003) https://doi.org/10.1117/12.515316
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

In this work we will generalize results linking multiresolution analysis structures and vectorial spaces generated from integer shifts of self-similar or radial basis functions. This connection results of a remarkable relation between causal scaling and causal radial functions, recently exposed by T. Blu and M. Unser for the unidimensional case. Here, we will detail some definitions and will enunciate the main theorems for the r dimensional case.

Citation Download Citation

Marcela Fabio and Eduardo P. Serrano "Self-similar and multiscaling functions of dimension r", Proc. SPIE 5207, Wavelets: Applications in Signal and Image Processing X, (13 November 2003); https://doi.org/10.1117/12.515316

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