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.
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Egiazarian, K., Astola, J. Tree-Structured Haar Transforms. Journal of Mathematical Imaging and Vision 16, 269–279 (2002). https://doi.org/10.1023/A:1020385811959
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DOI: https://doi.org/10.1023/A:1020385811959