Performance of parametric slant-Haar transforms

Sos S. Agaian; Khaled Tourshan; Joseph P. Noonan

doi:10.1117/1.1580494

1 July 2003 Performance of parametric slant-Haar transforms

Sos S. Agaian, Khaled Tourshan, Joseph P. Noonan

Journal of Electronic Imaging, Vol. 12, Issue 3, (July 2003). https://doi.org/10.1117/1.1580494

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.

©(2003) Society of Photo-Optical Instrumentation Engineers (SPIE)

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Sos S. Agaian, Khaled Tourshan, and Joseph P. Noonan "Performance of parametric slant-Haar transforms," Journal of Electronic Imaging 12(3), (1 July 2003). https://doi.org/10.1117/1.1580494

Published: 1 July 2003

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