Representation and coding of images with nonseparable two-dimensional wavelets

Author

Wajcer, Daniel ; Stanhill, David ; Zeevi, Yehoshua Y.

Author_Institution

Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel

Volume

2

fYear

1998

fDate

4-7 Oct 1998

Firstpage

336

Abstract

A method for wavelet image representation, coding and compression, using nonseparable two-dimensional (2D) multiwavelet transform, is presented. The application of this approach results in 2D wavelet functions and filter-banks that are more suitable for coding of two-dimensional signals, such as images, than the traditional separable transform. We deal mainly with the design of multiwavelets. The nonseparable approach permits the design of 2D multiwavelets with preferred orientations. We also present the nonlinear constraints on the polyphase matrix components which must be satisfied while imposing the requirement of vanishing moments

Keywords

channel bank filters; filtering theory; image coding; image reconstruction; image representation; matrix algebra; transform coding; two-dimensional digital filters; vector quantisation; wavelet transforms; 2D filter-banks; 2D multiwavelets design; 2D wavelet functions; ECVQ; entropy constrained vector quantization; image coding; image representation; nonlinear constraints; nonseparable 2D multiwavelet transform; perfect reconstruction filter-banks; polyphase matrix components; separable transform; two-dimensional signals; vanishing moments; zerotree wavelet coefficient coding; Channel bank filters; Discrete transforms; Discrete wavelet transforms; Filtering; Image coding; Image representation; Sampling methods; Signal resolution; Tensile stress; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 1998. ICIP 98. Proceedings. 1998 International Conference on

Conference_Location

Chicago, IL

Print_ISBN

0-8186-8821-1

Type

conf

DOI

10.1109/ICIP.1998.723376

Filename

723376