2D Minkowski Voronoi tool

Choose one of the following examples:

Gaussian random field:	Gaussian random field:
(isotropic)	(anisotropic)

Sand packing:	Gravitational lens:

Upload image:

(A subset of 500x250 pixels is analyzed, see red frame)
(You can move the analyzed subset by clicking inside the top image)

(A subset of the image is analyzed, see red frame)
(The size of the analyzed subset can be changed below)
(You can move the analyzed subset by clicking inside the top image)

box size: [1 - 1000]

use periodic boundary conditions

use analysis box: size [1 - boxSize]

Choose analysis type:

use interpolated marching squares
use regular marching squares

analyze white phase
analyze black phase

What do you like to calculate:

Other anisotropy metrics:
Q = 4 π A / P² (isoperimetric ratio )
β₁⁰² = (1 - q₂)/(1 + q₂) (anisotropy index )

	circumference
	500

	Minkowski structure metrics q_l [0 - 1]	arg(ψ) [0 - 2π]
q₂	0	0
q₃	0	0
q₄	0	0
q₅	0	0
q₆	0	0

(add points by clicking inside the image with the left mouse button)

(move points by dragging them with the left mouse button)

(remove points by clicking on them with the right mouse button)

Threshold: (0 - 255)
use automatic threshold

Analysis window size pixel [100 - 500]

Released under the GNU General Public License, version 3.
The Voronoi and convex hull construction is based on d3-voronoi.
www.morphometry.org
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written by Dr. Fabian Schaller