Module: Diametrical Variation ()

Description:

For an introduction, see section Analysis.

This module measure the number of entries in an object along a given direction. Let's consider a set of lines , parallel to a direction , and regularly spaced by .

The diameter variation is defined as:

Where is the number of boundary points which intersect the set of lines . This is equivalent to the sum of the lengths of the projections of the object in the direction.

Note that is symmetric:

Figure 1: Application of the Diametrical Variation formula

The discrete case in 2D translates to the search for specific configurations, as defined in the table below.

See also: Area, Euler Number, Fractal Dimension, Moments Of Inertia, Volume Fraction.

Connections:

Input Binary Image [required]
The image to be processed. Supported type is: binary image (Uniform Label Field with 2 labels).

Ports:

Interpretation

This port specifies whether the input will be interpreted as a 3D volume or a stack of 2D images for processing.

• "3D": the module configuration is set to 3D. The image will be processed as a whole in 3D.
• "XY planes": the module configuration is set to 2D. The image will be processed slice per slice.