Abstract
In this work, an image demodulation algorithm based on two-dimensional higher order Teager–Kaiser (TK) operators is presented. We show quantitatively and qualitatively that the introduction of higher orders in TK operator improves amplitude modulation (AM) and frequency modulation (FM) estimation results, compared to classical approaches such as the Discrete Energy Separation Algorithm (DESA) or the Analytic Signal (AS) method. Indeed, for a wide class of images, obtained demodulation errors for both the amplitude and frequency are numerically lower than the obtained ones with the DESA and AS method. The proposed method is illustrated on both synthetic and real images. Moreover, it turns out for some real images that the algorithm is very efficient in the sense that it tracks the most significant part in images and segments regions of interests, particularly, the AM counterpart. Finally, an application of our approach to the segmentation of mines’ shadows in Sonar images is presented. This is very important for both civil and military applications.
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Teager, H., Teager, S.: Evidence for nonlinear production mechanisms in the vocal tract. In: Speech Production and Speech Modeling, NATO Advanced Study Institute, vol. 55, pp. 241–261. Kluwer, Dordrecht (1990)
Kaiser, J.F.: On a simple algorithm to calculate the ’energy’ of a signal. In: Proceedings of ICASSP, pp. 381–384 (1990)
Yu, T.H., Mitra, S.K., Kaiser, J.F.: A novel nonlinear filter for image enhancement. In: Proceedings of SPIE/SPSE Symposium on Electronic Imaging: Science and Technology, pp. 303–309 (1991)
Maragos P., Kaiser J.F., Quatieri T.F.: Energy separation in signal modulations with application to speech analysis. IEEE Trans. Sig. Process. 41(10), 3024–3051 (1993)
Maragos P., Bovik A.C.: Image demodulation using multidimensional energy separation. Opt. Soc. Am. A 12(9), 1867–1876 (1995)
Havlicek, J.P.: AM–FM image models. Ph.D. dissertation, The University of Texas at Austin (1996)
Maragos P., Potamianos A.: Higher order differential energy operators. IEEE Sig. Process. Lett. 2(8), 152–154 (1995)
Salzenstein F., Montgomery P., Benatmane A., Boudraa A.: 2D discrete high order energy operators for surface profiling using white light interferometry. Proc. ISSPA 1, 601–604 (2003)
Salzenstein F., Boudraa A., Cexus J.: Generalized higher- order nonlinear energy operators. J. Opt. Soc. Am. (A) 24(12), 3717–3727 (2007)
Boudraa A., Salzenstein F., Cexus J.: Two-dimensional continuous higher-order energy operators. Opt. Eng. 44(11), 7001–7010 (2005)
Havlicek J.P., Tay P.C., Bovik A.C.: AM–FM image models: fundamental techniques and emerging trends. In: Bovik, A.C. (eds) Handbook of Image and Video Processing, chap. 4.4, 2nd edn, pp. 377–395. Elsevier Academic Press, Burlington (2005)
Pattichis M.S., Bovik A.C.: Analyzing image structure by multidimensional frequency modulation. IEEE Trans. Patt. Anal. Mach. Intell. 29(5), 753–766 (2007)
Kokkinos I., Evangelopoulos G., Maragos P.: Texture analysis and segmentation using modulation features, generative models and weighted curve evolution. IEEE Trans. Patt. Anal. Mach. Intell. 31(1), 142–157 (2009)
Maragos P., Kaiser J.F., Quatieri T.F.: On amplitude and frequency demodulations using energy operators. IEEE Trans. Sig. Process. 41(4), 1532–1550 (1993)
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Diop, E.H.S., Boudraa, A.O. & Salzenstein, F. A joint 2D AM–FM estimation based on higher order Teager–Kaiser energy operators. SIViP 5, 61–68 (2011). https://doi.org/10.1007/s11760-009-0142-3
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DOI: https://doi.org/10.1007/s11760-009-0142-3
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