Institut für Theoretische Physik I
Universität Erlangen-Nürnberg
Staudtstraße 7
91058 Erlangen

How to find us

Phone: +49-9131-85 28442
Fax: +49-9131-85 28444

Department Physik
Teilbibliothek Physik Web-Opac
UnivIS FAU Erlangen-Nürnberg

Physikalisches Kolloquium
Kolloquium der Theor. Physik
Gruppenseminar der Theorie 1


3D Minkowski Tensor Package

Karambola is a program able to calculate the Minkowski Tensors of three-dimensional bodies and surfaces.

Minkowski Tensors can be calculated globally, or for subsets (called “labels”). The program takes its input in the form of triangulated surfaces. A more detailed description of the program is given in the included documentation, and in the papers referenced below.

Karambola is written in plain ISO C++ and only needs the GNU Scientific Library to compile. It is available as Free Software under the terms of the GNU General Public License, Version 3 or later.


The following articles describe the Minkowski Tensor Algorithms implemented by karambola:

The following articles describe analyses of physical systems based on these concepts.


Current version described in Minkowski Tensors of Anisotropic Spatial Structure (see reference above):

Source code (4.1 MB), New Journal of Phyics version