Articles | Volume 17, issue 1
https://doi.org/10.5194/se-17-155-2026
https://doi.org/10.5194/se-17-155-2026
Method article
 | 
28 Jan 2026
Method article |  | 28 Jan 2026

Quantitative comparison of three-dimensional bodies using geometrical properties to validate the dissimilarity of a standard collection of 3D geomodels

Friedrich Carl, Jian Yang, Marlise Colling Cassel, Florian Wellmann, and Peter Achtziger-Zupančič

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Cited articles

Al-Rousan, T., Masad, E., Tutumluer, E., and Pan, T.: Evaluation of image analysis techniques for quantifying aggregate shape characteristics, Constr. Build. Mater., 21, 978–990, https://doi.org/10.1016/j.conbuildmat.2006.03.005, 2007. 
Altuhafi, F., O'Sullivan, C., and Cavarretta, I.: Analysis of an Image-Based Method to Quantify the Size and Shape of Sand Particles, J. Geotech. Geoenvironmental Eng., 139, 1290–1307, https://doi.org/10.1061/(ASCE)GT.1943-5606.0000855, 2013. 
BGE: Zwischenbericht Teilgebiete gemäß § 13 StandAG., 2020. 
BGE: Vorgehen zur Ermittlung von Standortregionen aus den Teilgebieten, BGE, https://www.bge.de/fileadmin/user_upload/Standortsuche/Wesentliche_Unterlagen/Methodik/Phase_I_Schritt_2/20231004_Vorgehen_zur_Ermittlung_von_Standortregionen_aus_den_Teilgebieten_barrierefrei.pdf (last access: 22 January 2026), 2023. 
BGR, LAGB, LBEG, LBGR, LLUR, and LUNG: 3D-Modell des geologischen Untergrundes des Norddeutschen Beckens (Projekt TUNB) Erstveröffentlichung 2021, Version 2022, https://gst.bgr.de (last access: 22 January 2026), 2022 
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Short summary
A method for shape quantification based on geometrical parameters is proposed alongside a set of regular geometries established as geomodeling benchmarks. Dimensions, gradient and curvature data is obtained on cross-sections. Data analyses provide insight into the main geometrical characteristics of the benchmark models and visualizes geometrical dis-/similarities between bodies. The method and benchmarks are usable in geomodeling workflows and structural comparisons based on sparse data.
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