Some anisotropy indices for the characterization of Brownian textures and their application to breast images

This paper aims first at implementing two algorithms to extract Region Of Interest (ROI) from 2D (mammography) and 3D images (tomosynthesis) so that to gather

They concern some elements of the theory of multiparameter, and most of all, set-indexed processes; a presentation of some Gaussian extensions of the Brownian motion, with

A map can become more illuminating when superimposed on the initial image (Figure 3A) or combined with a quantitative graph: in Figure 3B, the transition region between both

Keywords Hölder regularity · anisotropy · fractional Brownian eld · quadratic variations · texture analysis · photographic paper..

This indicator is based on the local variations of a vector field which characterizes the orientation of the texture at a given observation scale n.. The vector field is provided by

Local asymptotic normality (LAN) property is a fundamental concept in asymptotic statistics. Originated by Wald in [23] and developed by Le Cam in [14], it relies on the idea

In the second section almost sure convergence of the generalized quadratic variations is established, a Central Limit Theorem is also obtained.. Section 3 is devoted to the

To estimate the Hurst exponent of a monovariate fractional Brownian motion using wavelet techniques or filtering techniques, the key-ingredient is that the logarithm of the