VIDEO AND IMAGE COMPRESSION AND NOVEL TRANSFORMS

Performance of parametric slant-Haar transforms

[+] Author Affiliations
Sos S. Agaian

University of Texas at San Antonio, Electrical Engineering Department, San Antonio, Texas?78249-0665

Khaled Tourshan

531 Kings Highway R-3, Moorestown, New Jersey?08057 E-mail: ktourshan@hotmail.com

Joseph P. Noonan

Tufts University, Electrical Engineering Department, Medford, Massachusetts?02155

J. Electron. Imaging. 12(3), 539-550 (Jul 01, 2003). doi:10.1117/1.1580494
History: Received Jul. 31, 2002; Revised Jan. 17, 2003; Accepted Mar. 4, 2003; Online July 23, 2003
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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 SPIE and IS&T.

© 2003 SPIE and IS&T

Citation

Sos S. Agaian ; Khaled Tourshan and Joseph P. Noonan
"Performance of parametric slant-Haar transforms", J. Electron. Imaging. 12(3), 539-550 (Jul 01, 2003). ; http://dx.doi.org/10.1117/1.1580494


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