Free and open source

A MATLAB package is made available for computing the fractional smoothing spline estimator of a 1D signal, and for generating fBms (fractional Brownian motion).

This version replaces the old Arrow_.class tool that was present in Fiji before. The main changes are the ability to draw the arrow as a floating selection, and to tune its shape.

Warning: Since ImageJ version 1.43n, a similar tool, made by Wayne Rasband, does a similar thing from the ImageJ core, see here.

Icy Morphomath operators: erosion, dilation, opening, closing, top-hat, gradient, distance map, skeleton and watershed.

The smoothing is applied by the way of a bi-exponential filter, itself realized by a pair of one-tap recursions. It is therefore very fast; moreover, its computational cost is truly independent of the amount of smoothing. Meanwhile, the preservation of edges is obtained by a range filter akin to the range filter found in a bilateral filter. More technical details are available here.

The plugin allows one to control the amount of smoothing, the type of range filter, its broadness, and to iterate the filter several times if desired. We illustrate in Figure 2 a possible outcome of this filter. Here, we iterated the BEEPS 10 times with a Gaussian range filter, σ = 10, and the spatial decay λ = 0.1.