Hidden-variable fractal interpolation of discrete sequences

Author

Mazel, David S. ; Hayes, Monson H., III

Author_Institution

Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

fYear

1991

fDate

14-17 Apr 1991

Firstpage

3393

Abstract

A model which may be used to determine the iterated functions system parameters needed to produce a fractal in R³ where the projection of that fractal to R² matches a given function is presented. Background material is presented in which the form of the model, model parameters, and fractal synthesis are given. An inverse algorithm for identification of the model parameters is presented, and comments on this algorithm are given. Applications of hidden-variable fractal interpolation to two data types, monthly relative number of sunspots and the electrocardiogram of a dog´s heart, are presented

Keywords

astronomical techniques; electrocardiography; fractals; interpolation; inverse problems; signal processing; sunspots; Sun; discrete sequences; dog; electrocardiogram; fractal synthesis; heart; hidden-variable fractal interpolation; inverse algorithm; iterated functions system parameters; model parameters; monthly sunspots number; parameter identification; signal processing; Eigenvalues and eigenfunctions; Fractals; Heart; Interpolation; Signal processing; Signal processing algorithms; Visualization;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on

Conference_Location

Toronto, Ont.

ISSN

1520-6149

Print_ISBN

0-7803-0003-3

Type

conf

DOI

10.1109/ICASSP.1991.150182

Filename

150182