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Proceedings Paper

Adaptive Haar transforms with arbitrary time and scale splitting
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Paper 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.

Paper Details

Date Published: 8 May 2001
PDF: 14 pages
Proc. SPIE 4304, Nonlinear Image Processing and Pattern Analysis XII, (8 May 2001); doi: 10.1117/12.424979
Show Author Affiliations
Karen O. Egiazarian, Tampere Univ. of Technology (Finland)
Jaakko T. Astola, Tampere Univ. of Technology (Finland)


Published in SPIE Proceedings Vol. 4304:
Nonlinear Image Processing and Pattern Analysis XII
Edward R. Dougherty; Jaakko T. Astola, Editor(s)

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