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Proceedings Paper

Multidimensional energy operator for image processing
Author(s): Petros Maragos; Alan Conrad Bovik; Thomas F. Quatieri
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Paper Abstract

The 1-D nonlinear differential operator (Psi) (f) equals (f')2 - ff' has been recently introduced to signal processing and has been found very useful for estimating the parameters of sinusoids and the modulating signals of AM-FM signals. It is called an energy operator because it can track the energy of an oscillator source generating a sinusoidal signal. In this paper we introduce the multidimensional extension (Phi) (f) equals (parallel)$DELf(parallel)2 - f$DEL2f of the 1-D energy operator and briefly outline some of its applications to image processing. We discuss some interesting properties of the multidimensional operator and develop demodulation algorithms to estimate the amplitude envelope and instantaneous frequencies of 2-D spatially-varying AM-FM signals, which can model image texture. The attractive features of the multidimensional operator and the related amplitude/frequency demodulation algorithms are their simplicity, efficiency, and ability to track instantaneously- varying spatial modulation patterns.

Paper Details

Date Published: 1 November 1992
PDF: 10 pages
Proc. SPIE 1818, Visual Communications and Image Processing '92, (1 November 1992); doi: 10.1117/12.131436
Show Author Affiliations
Petros Maragos, Harvard Univ. (United States)
Alan Conrad Bovik, Univ. of Texas/Austin (United States)
Thomas F. Quatieri, Lincoln Lab./MIT (United States)

Published in SPIE Proceedings Vol. 1818:
Visual Communications and Image Processing '92
Petros Maragos, Editor(s)

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