Title :
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
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on
Conference_Location :
Toronto, Ont.
Print_ISBN :
0-7803-0003-3
DOI :
10.1109/ICASSP.1991.150182
