The Minkowski tensor algorithms implemented in karambola are described in the following publications:

- Schröder-Turk, G. E. et al.
*Minkowski Tensors of Anisotropic Spatial Structure*, New Journal of Physics**15**(8), 083028, (2013) - Schröder-Turk, G. E. et al.
*Minkowski Tensor Shape Analysis of Cellular, Granular and Porous Structures*, Advanced Materials**23**(22-23), 2535–2553 (2011)

Some examples of shape analyses based on Minkowski functionals or tensors can be found in the following publications (the list of examples is still under construction, further suggestions are very welcome).

In statistical physics and condensed matter:

- Schaller, F. M. et al.
*Non-universal Voronoi cell shapes in amorphous ellipsoid packs*, EPL (Europhysics Letters)**111**(2), 24002 (2015) -
Schröder-Turk, G. E. et al.

*Disordered spherical bead packs are anisotropic*, EPL**90**, 34001 (2010)

In mathematical models of physical systems:

- Klatt, M. A. et al.
*Cell Shape Analysis of Random Tessellations Based on Minkowski Tensors.*In Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (eds. Vedel Jensen, E. B. & Kiderlen, M.)**2177,**385–421 (Springer International Publishing, 2017) - Hug, D., Last, G. & Schulte, M.
*Second-order properties and central limit theorems for geometric functionals of Boolean models.*The Annals of Applied Probability**26,**73–135 (2016) - Hörrmann, J., Hug, D., Klatt, M. A. & Mecke, K.
*Minkowski tensor density formulas for Boolean models.*Adv. Appl. Math.**55,**48–85 (2014)

In nuclear physics:

- Watanabe, G. et al.
*Structure of cold nuclear matter at subnuclear densities by quantum molecular dynamics.*Physical Review C**68,**(2003) - Watanabe, G. et al.
*Phases of hot nuclear matter at subnuclear densities.*Physical Review C**69,**(2004) - Sonoda, H. et al.
*Phase diagram of nuclear ‘pasta’ and its uncertainties in supernova cores.*Physical Review C**77,**(2008)

In astronomy and cosmology:

- Göring, D., Klatt, M. A., Stegmann, C. & Mecke, K.
*Morphometric analysis in gamma-ray astronomy using Minkowski functionals: Source detection via structure quantification*. Astron. Astrophys.**555,**A38 (2013) - Kerscher, M. et al.
*Morphological fluctuations of large-scale structure: The PSCz survey.*Astron. Astrophys.**373,**1 (2001)

In biology and medicine:

- Klatt, M. A., Schröder-Turk, G. E. & Mecke, K.
*Mean-intercept anisotropy analysis of porous media. II. Conceptual shortcomings of the MIL tensor definition and Minkowski tensors as an alternative.*Med. Phys.**44,**3663–3675 (2017) - Barbosa, M., Natoli, R., Valter, K., Provis, J. & Maddess, T.
*Integral-geometry characterization of photobiomodulation effects on retinal vessel morphology.*Biomed. Opt. Express**5,**2317 (2014) - Beisbart, C., Barbosa, M. S., Wagner, H. & Costa, L. da F.
*Extended morphometric analysis of neuronal cells with Minkowski valuations.*Eur. Phys. J. B**52,**531 (2006)

In pattern analysis:

- Scholz, C., Schröder-Turk, G. E. & Mecke, K.
*Pattern-fluid interpretation of chemical turbulence.*Phys. Rev. E**91,**42907 (2015) - Mantz, H., Jacobs, K. & Mecke, K.
*Utilising Minkowski Functionals for Image Analysis.*J. Stat. Mech.**12,**P12015 (2008) - Becker, J. et al.
*Complex dewetting scenarios captured by thin-film models.*Nat. Mater.**2,**59 (2003) - Mecke, K.
*Morphological characterization of patterns in reaction-diffusion systems.*Phys. Rev. E**53,**4794 (1996)

In statistics and stereology: