Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained
introduction to the ideas underpinning wavelet theory and its diverse applications. This book …

Reliable estimation of long-range dependence parameters is vital in time series. For
example, in environmental and climate science such estimation is often key to …

Natural images, especially color or multicomponent images, are complex information-
carrying signals. To contribute to the characterization of this complexity, we investigate the …

Long memory has been observed for time series across a multitude of fields, and the
accurate estimation of such dependence, for example via the Hurst exponent, is crucial for …

Self-similar processes are useful models for natural systems that exhibit scaling. Operator
scaling allows a different scale factor in each coordinate. This paper develops practical …

The present thesis deals with amplitude and sign decompositions of images via complex
wavelets. We develop the monogenic curvelet transform for the directional decomposition of …

We propose a signal analysis tool based on the sign (or the phase) of complex wavelet
coefficients, which we call a signature. The signature is defined as the fine-scale limit of the …

This chapter overviews statistical models and transforms that are pertinent for an
understanding of the subsequent chapters. A number of models of random processes …

A method for segmenting water bodies in optical and synthetic aperture radar (SAR) satellite
images is proposed. It makes use of the textural features of the different regions in the image …

Application of multifractal analysis to segmentation of water bodies in optical satellite
images Page 1 Papers in Physics, vol. 9, art. 090007 (2017) Received: 29 May 2017 …