Title :
Two dimensional multiwavelets with vanishing moments for image coding
Author :
Wajcer, Daniel ; Stanhill, David ; Zeevi, Yehoshua Y.
Author_Institution :
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
Abstract :
A method for wavelet image coding and compression using a two-dimensional (2D) multiwavelet transform, vector quantization and zerotree coding techniques, is presented. A non-separable multiwavelet transform is used. 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 present nonlinear constraints on the polyphase matrix components which must be satisfied while imposing the requirement of vanishing moments. Finally, the design of 2D multiwavelets with a preferred orientation is illustrated
Keywords :
data compression; digital filters; image coding; matrix algebra; transform coding; vector quantisation; wavelet transforms; 2D wavelet functions; compression; design; filter-banks; image coding; nonlinear constraints; nonseparable multiwavelet transform; polyphase matrix components; two dimensional multiwavelets; two-dimensional signals; vanishing moments; vector quantization; zerotree coding techniques; Channel bank filters; Continuous wavelet transforms; Discrete wavelet transforms; Filtering; Frequency response; Image coding; Image reconstruction; Sampling methods; Vector quantization; Wavelet transforms;
Conference_Titel :
Electrotechnical Conference, 1998. MELECON 98., 9th Mediterranean
Conference_Location :
Tel-Aviv
Print_ISBN :
0-7803-3879-0
DOI :
10.1109/MELCON.1998.692342