Wavelet

A toolbox that contains Matlab routines for computing the forward and backward generalized Riesz-wavelet transform of high order is provided. It includes utilities for orientation computation, coefficients steering, basic denoising, frame learning.

The fractional splines are an extension of the polynomial splines for all fractional degrees α > -1. Their basic constituents are piecewise power functions of degree α. One constructs the corresponding B-splines through a localization process similar to the classical one, replacing finite differences by fractional differences. The fractional B-splines share virtually all the properties of the classical B-splines, including the two-scale relation, and can therefore be used to define new wavelet bases with a continuously-varying order parameter

This Matlab code is the 3D extension of the Generalized Riesz-Wavelet Toolbox for Matlab.

Wavelet-based method to merge a stack of micrographs taken at different focal positions (aligned along the optical axis) into a single, entirely focused composite image.