The monogenic wavelet transform
IEEE Transactions on Signal Processing
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The class of 2-D nonseparable geometrically anisotropic localization operators is defined, from the representation of a function via a family of coherent states, by restricting the states in the reconstruction formula. The eigensystem of operators in a set family is determined, this specifying optimally localized anisotropic functions, and their degree of localization. These functions are suitable for analysis of inhomogeneous anisotropic random fields.