Semi-Local Scaling Exponent Estimation With Box-Penalty Constraints and Total-Variation Regularization

We here establish and exploit the result that 2D isotropic self-similar fields beget quasi-decorrelated wavelet coefficients and that the resulting localised log sample second moment statistic is asymptotically normal. This leads to the development of a semi-local scaling exponent estimation framewo...

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Veröffentlicht in:	IEEE transactions on image processing 2016-07, Vol.25 (7), p.3167-3181
Hauptverfasser:	Nelson, J. D. B., Nafornita, C., Isar, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Constants Estimation Estimators Exponents Image reconstruction Least squares method Mathematical models Noise reduction Robustness Self-similarity Statistical methods Wavelet domain Wavelet transforms
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