Title :
Construction and optimization of discrete wavelets
Author :
Faber, Petko ; Süsse, Herbert
Author_Institution :
Dept. of Math. & Inf., Friedrich-Schiller-Univ., Jena, Germany
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;
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
DOI :
10.1109/TFSA.1994.467327
