Adaptive Haar transforms with arbitrary time and scale splitting

Karen O. Egiazarian; Jaakko T. Astola

doi:10.1117/12.424979

8 May 2001 Adaptive Haar transforms with arbitrary time and scale splitting

Proceedings Volume 4304, Nonlinear Image Processing and Pattern Analysis XII; (2001) https://doi.org/10.1117/12.424979
Event: Photonics West 2001 - Electronic Imaging, 2001, San Jose, CA, United States

Abstract

The Haar transform is generalized to the case of an arbitrary time and scale splitting. To any binary tree we associate an orthogonal system of Haar-type functions - tree-structured Haar (TSH) functions. Unified fast algorithm for computation of the introduced tree-structured Haar transforms is presented. It requires 2(N - 1) additions and 3N - 2 multiplications, where N is transform order or, equivalently, the number of leaves of the binary tree.

Citation Download Citation

Karen O. Egiazarian and Jaakko T. Astola "Adaptive Haar transforms with arbitrary time and scale splitting", Proc. SPIE 4304, Nonlinear Image Processing and Pattern Analysis XII, (8 May 2001); https://doi.org/10.1117/12.424979

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