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Journal of Electronic Imaging

Performance of parametric slant-Haar transforms
Author(s): Sos S. Agaian; Khaled Tourshan; Joseph P. Noonan
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Paper Abstract

In general, there is a tradeoff between an orthogonal transform performance and its computational complexity. The Haar transform is by far the fastest of all unitary transforms. The objective of this work is to develop a class of unitary transforms that exhibits computational efficiency as well as good performance utilizing the Haar and slant transforms. This class is called the parametric slant-Haar transforms that includes as special cases the commonly used Haar and slant-Haar transforms. Examples of parametric slant-Haar transforms are given. An efficient fast parametric slant-Haar transform is introduced and its computational complexity is discussed. Relative performance of parametric slant-Haar transforms to that of the Karhunen-Loeve transform (KLT) is discussed. A partially signal dependent parametric slant-Haar transform is also introduced.

Paper Details

Date Published: 1 July 2003
PDF: 12 pages
J. Electron. Imaging. 12(3) doi: 10.1117/1.1580494
Published in: Journal of Electronic Imaging Volume 12, Issue 3
Show Author Affiliations
Sos S. Agaian, Univ. of Texas/San Antonio (United States)
Khaled Tourshan, Lockheed Martin Corp. (United States)
Joseph P. Noonan, Tufts Univ. (United States)

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