Title :
2D multiwavelets for image representation
Author :
Stanhill, David ; Zeevi, Yehoshua Y.
Author_Institution :
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
Abstract :
Two-dimensional multiwavelet functions and matrix filter banks, which allow the use of multiple scaling functions are treated. Generalizing to multiwavelets introduces greater flexibility in the design of the transform functions and filters. Necessary and sufficient conditions for obtaining approximation of order p are given. A design method for two-dimensional orthogonal multiwavelets with a specified order of approximation is provided, and examples are derived for the quincunx case with a multiplicity of r=2
Keywords :
band-pass filters; filtering theory; image representation; matrix algebra; two-dimensional digital filters; wavelet transforms; 2D multiscaling filters; 2D multiwavelets; approximation; image representation; matrix filter banks; multiple scaling functions; multiplicity; necessary conditions; quincunx multiwvelets; sufficient conditions; transform functions design; two-dimensional multiwavelet functions; two-dimensional orthogonal multiwavelets; Design methodology; Discrete transforms; Equations; Filter bank; Image analysis; Image representation; Multiresolution analysis; Signal processing; Sufficient conditions; Wavelet transforms;
Conference_Titel :
Electrical and Electronics Engineers in Israel, 1996., Nineteenth Convention of
Conference_Location :
Jerusalem
Print_ISBN :
0-7803-3330-6
DOI :
10.1109/EEIS.1996.566942
