By A. I. Markushevich
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Extra info for Curvas Maravillosas, Numeros Complejos y Representaciones Conformes, Funciones Maravillosas
And Van Genderen, J. , Multisensor image fusion in remote sensing: concepts, methods and applications, Int. J. , 19(5), 823– 854, 1998. 20. , Multiresolutionbased image fusion with additive wavelet decomposition, IEEE Trans. Geosci. , 37(3), 1204– 1211, 1999. 21. , Morabito, F. , Serpico, S. , Image fusion techniques for remote sensing applications, Inf. Fusion, 3(1), 3 – 15, 2002. 22. , Registration and fusion of retinal imagesan evaluation study, IEEE Trans. Med. Imaging, 22(5), 661– 673, 2003.
9 illustrates one stage of the decomposition of the LPT. An image can be reconstructed by the reverse procedure. Let G^ be the recovered Gaussian pyramid. Reconstruction requires all levels of the LPT, as ^ N : Thus the procedure is to set well as the top level of the Gaussian pyramid G ^ GN ¼ GN ; and for k , N; ^ kþ1 ^ k ¼ Lk þ 4v p ½G G "2 ð1:3Þ ^ 0 ; the reconstructed version of the original which can be used to compute G image G0 : The wavelet representation introduced by Mallat52 – 54 suggests that, for efﬁciency reasons, successive layers of the pyramid should include only the additional details, which are not already available at preceding levels.
42 –49. In Proceedings of the 16th IEEE Symposium on Computerbased Medical Systems. New York, 2003. 24. , Medical image fusion using two dimensional discrete wavelet transform, Proc. SPIE, 4556, 86 – 95, 2001. 25. Pattichis, C. , Pattichis, M. , Medical imaging fusion applications: an overview, pp. 1263 – 1267. In The 35th Asilomar Conference on Signals, Systems and Computers, Vol. 2. Paciﬁc Grove, CA, 2001. 26. Reed, J. , Image fusion and subpixel parameter estimation for automated optical inspection of electronic components, IEEE Trans.