New relative multifractal dimension measures

Author

Dansereau, R. ; Kinsner, W.

Author_Institution

Dept. of Electr. & Comput. Eng., Manitoba Univ., Winnipeg, Man., Canada

Volume

3

fYear

2001

fDate

2001

Firstpage

1741

Abstract

This paper introduces a new class of fractal dimension measure which we call relative multifractal measures. The relative multifractal measures developed are formed through a melding of the Renyi dimension spectrum, which is based on the Renyi generalized entropy, and relative entropy as given with the Kullback-Leibler distance. This new class of multifractal measure is then used to find the relative multifractal complexity differences between two signals, an image and its lossy approximation. It is proposed that relative multifractal measures can be used as the basis for a new form of signal and image quality measure based on signal complexity

Keywords

data compression; entropy codes; fractals; image coding; spectral analysis; Kullback-Leibler distance; Renyi dimension spectrum; Renyi generalized entropy; fractal dimension measures; image quality; lossy image approximation; relative entropy; relative multifractal complexity differences; signal complexity; signal quality; Electric variables measurement; Entropy; Fractals; Image quality; Loss measurement; Performance evaluation; Probability distribution; Statistics;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on

Conference_Location

Salt Lake City, UT

ISSN

1520-6149

Print_ISBN

0-7803-7041-4

Type

conf

DOI

10.1109/ICASSP.2001.941276

Filename

941276