Constructions of two-dimensional nonseparable Malvar wavelets

Xiang-Gen Xia; Bruce W. Suter

doi:10.1117/12.188772

11 October 1994 Constructions of two-dimensional nonseparable Malvar wavelets

Xiang-Gen Xia, Bruce W. Suter

Proceedings Volume 2303, Wavelet Applications in Signal and Image Processing II; (1994) https://doi.org/10.1117/12.188772
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

Malvar wavelets or lapped orthogonal transform has been recognized as a useful tool in eliminating block effects in transform coding. Suter and Oxley extended the Malvar wavelets to more general forms, which enable one to construct an arbitrary orthonormal basis on different intervals. In this paper, we generalize the idea in Suter and Oxley from 1D to 2D cases and construct nonseparable Malvar wavelets, which is potentially important in multidimensional signal analysis. With nonseparable Malvar wavelets, we then construct nonseparable Lemarie-Meyer wavelets which are band-limited.

Citation Download Citation

Xiang-Gen Xia and Bruce W. Suter "Constructions of two-dimensional nonseparable Malvar wavelets", Proc. SPIE 2303, Wavelet Applications in Signal and Image Processing II, (11 October 1994); https://doi.org/10.1117/12.188772

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