Determination of the microstructure homogeneity

The determination of the homogeneity of microstructures improves the evaluation of the properties of a material and allows a comparison with the help of comparable characteristics.

The calculation of homogeneity is of general character and can be applied to a wide variety of microstructures both in the materials sector and in many other fields, e.g. Medicine and biology, to be applied. It is particularly suitable for determining the homogeneity of cast structures as well as rolled microstructures.

For the unambiguous interpretation of the homogeneity, the program uses the Lorenz curve (see diagram display of the program interface). A perfectly homogeneous system is described by the line of equality, on which each component describes the same x and y values. All other cases describe curves below this line, the so-called Lorenz curves. Between these two functional curves, a concentration area is created.


The scanned images are separated by a selectable binarization method into background and object phases. Then, the homogeneity values can be selected.
If required, image operations can be carried out before the detection in order to improve the image quality in the sense of the evaluation.


  • Binarisation and object detection
  • Measurement under consideration of Intensity as well as color informations
  • Calculation of parameters to characterize the object- as well as the region homogeneity
  • Creation of measurement series of several images
  • Interface to image databases, transfer of images, diagrams and measurement results
  • Image or series related measurement protocols (MS-Word, MS-Excel)

Homogeneity measurement for the following parameters

  • Area
  • Diameter
  • Convexity
  • Formfactor
  • Stretch factor
  • Orientation
  • Nearest distances
  • Phase boundary parameters