Ten lectures on wavelets
Image analysis with two-dimensional continuous wavelet transform
Signal Processing
Wavelet-based detection of clods on a soil surface
Computers & Geosciences
Texture analysis for trabecular bone x-ray images using anisotropic morlet wavelet and rényi entropy
ICISP'12 Proceedings of the 5th international conference on Image and Signal Processing
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Wavelet analysis can be used to extract local information from a signal or random field. We introduce a new fully-anisotropic Morlet wavelet to identify dominant orientations in anisotropic random fields. The standard Morlet wavelet is a complex-valued wavelet that has directionally-dependent real and imaginary parts but is isotropic in magnitude. Our new fully-anisotropic Morlet wavelet is anisotropic in its real and imaginary parts and also in its magnitude. We use this wavelet to identify dominant orientations in the permeability field of a 1mx1m block of Massillon sandstone. We show that this fully-anisotropic Morlet wavelet is more effective than the standard Morlet wavelet at identifying dominant orientations in two-dimensional anisotropic random fields.