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This Diploma thesis deals with exact analysis of 2D signals such as images. The main goal is to generalize the classical analytic signal from D. Gabor of 1D signals to the 2D domain. Up to now the biggest recent breakthrough was the introduction of the monogenic signal by M. Felsberg and G. Sommer to analyse (i)ntrinsic1D signals in 2D domains. So there are still open challanges to analyse i1D and i2D signal structures... |
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