Construction and optimization of discrete wavelets

Author

Faber, Petko ; Süsse, Herbert

Author_Institution

Dept. of Math. & Inf., Friedrich-Schiller-Univ., Jena, Germany

fYear

1994

fDate

25-28 Oct 1994

Firstpage

413

Lastpage

416

Abstract

This paper presents the description and construction of discrete wavelets by only using the matrices description, in contrast to the methods known from the literature. It is possible to define more clearly the characteristics of discrete wavelets. Furthermore, the possibilities of using the wavelet-transform in image-processing are studied. The advantages and disadvantages are worked out and the construction of “optimal” discrete wavelets indications at its construction are given. For better understanding the following examinations are just for the one-dimensional case. The extension to the two- and higher-dimensional orders can be realized easily by forming the Cartesian product. The feature of the separation of the used wavelet filters is here assumed as condition

Keywords

entropy; filtering theory; image processing; image texture; matrix algebra; optimisation; transforms; wavelet transforms; Cartesian product; construction; discrete wavelets; entropy; image-processing; matrices; one-dimensional case; optimization; texture analysis; wavelet filters; wavelet-transform; Continuous wavelet transforms; Digital images; Discrete wavelet transforms; Filtering; Filters; Hydrogen; Informatics; Mathematics; Optimization methods; Signal processing;

fLanguage

English

Publisher

ieee

Conference_Titel

Time-Frequency and Time-Scale Analysis, 1994., Proceedings of the IEEE-SP International Symposium on

Conference_Location

Philadelphia, PA

Print_ISBN

0-7803-2127-8

Type

conf

DOI

10.1109/TFSA.1994.467327

Filename

467327