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EEE TRANSACTIONS ON IMAGE PROCESSING. VOL 1. NO. 2. APRIL 192 Fig. 5 represents one stage in a multiscale pyramidal In Fig. 8(a)we can see the normalized detail subimages decomposition of an image: wavelet coefficients of the at different resolution levels m=1, m=2, and m =3 Image are computed, as in the one-dimensional case(Sec- (wavelet coefficients)and in Fig. 8(b)the low resolution tions I-A and II-B. 1), using a subband coding algorithm. level subimages The filters h and g are one-dimensional filters. This de- composition provides subimages corresponding to differ- III. IMAGE CODING APPLICATI ent resolution levels and orientations(see Fig. 6). The A. Statistical Properties of Wavelet Coefficients reconstruction scheme of the image is presented Fig. 7 To compare the three different filters presented in this and direction can be determined by the statistics of the each of these filters. The results are presented in Fig. 8. function (PDF/ abimage, i.e., its probability density have decomposed the image Lena(Fig. 16)with corresponding
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