Nonseparable symmetric wavelets with short support

Mingjun Lai; David W. Roach

doi:10.1117/12.366774

26 October 1999 Nonseparable symmetric wavelets with short support

Mingjun Lai, David W. Roach

Proceedings Volume 3813, Wavelet Applications in Signal and Image Processing VII; (1999) https://doi.org/10.1117/12.366774
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

In the following, we give the complete solutions of all bivariate symmetric orthonormal scaling functions with filter size up to 6 X 6 using the standard dilation matrix 2I as well as construct a set of associated wavelets. In addition, we give two families of refinable functions which are not orthonormal, but upon using the same completion technique appear to form tight frames (i.e. they preserve the norm) at least experimentally.

Citation Download Citation

Mingjun Lai and David W. Roach "Nonseparable symmetric wavelets with short support", Proc. SPIE 3813, Wavelet Applications in Signal and Image Processing VII, (26 October 1999); https://doi.org/10.1117/12.366774

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