Minkowski Tensors for Point Clouds and Voxelized Data: Robust, Asymptotically Unbiased Estimators.

Daniel Hug 0001 Karlsruhe Institute of Technology, Germany University of Duisburg-Essen, Essen, Germany https://www.uni-due.de/~hm0045/ http://www.math.kit.edu/stoch/~hug/en https://orcid.org/0000-0002-4039-5217 Daniel Hug Daniel Hug 0002 Zurich University of the Arts (ZHdK), Switzerland https://www.zhdk.ch/person/10329 https://orcid.org/0000-0003-4478-6810 https://www.wikidata.org/entity/Q130852339

Daniel Hug 0001 Michael Andreas Klatt D. Pabst Minkowski Tensors for Point Clouds and Voxelized Data: Robust, Asymptotically Unbiased Estimators. 2026 1698-1744 19 SIAM J. Imaging Sci. 3 https://doi.org/10.1137/25m1729939 db/journals/siamis/siamis19.html#HugKP26 streams/journals/siamis

Daniel Hug 0001 Rolf Schneider 0001 Threshold Phenomena for Random Cones. 564-594 2022 67 Discret. Comput. Geom. 2 https://doi.org/10.1007/s00454-021-00323-2 db/journals/dcg/dcg67.html#HugS22

Felix Ernesti Matti Schneider Steffen Winter Daniel Hug 0001 Günter Last Thomas Böhlke Characterizing digital microstructures by the Minkowski-based quadratic normal tensor. 2020 abs/2007.15490 CoRR https://arxiv.org/abs/2007.15490 db/journals/corr/corr2007.html#abs-2007-15490

Daniel Hug 0001 Markus Kiderlen Anne Marie Svane Voronoi-Based Estimation of Minkowski Tensors from Finite Point Samples. 545-570 2017 57 Discret. Comput. Geom. 3 https://doi.org/10.1007/s00454-016-9851-x db/journals/dcg/dcg57.html#HugKS17

Imre Bárány Daniel Hug 0001 Matthias Reitzner Rolf Schneider 0001 Random points in halfspheres. 3-22 2017 50 Random Struct. Algorithms 1 https://doi.org/10.1002/rsa.20644 db/journals/rsa/rsa50.html#BaranyHRS17

Daniel Hug 0001 Rolf Schneider 0001 Random Conical Tessellations. 395-426 2016 56 Discret. Comput. Geom. 2 https://doi.org/10.1007/s00454-016-9788-0 db/journals/dcg/dcg56.html#HugS16

Julia Hörrmann Daniel Hug 0001 Michael Andreas Klatt Klaus Mecke Minkowski tensor density formulas for Boolean models. 48-85 2014 55 Adv. Appl. Math. https://doi.org/10.1016/j.aam.2014.01.001 db/journals/aam/aam55.html#Horrmann0KM14

Károly J. Böröczky Daniel Hug 0001 Stability of the reverse Blaschke-Santaló inequality for zonoids and applications. 309-328 2010 44 Adv. Appl. Math. 4 https://doi.org/10.1016/j.aam.2009.09.002 db/journals/aam/aam44.html#Boroczky010

Daniel Hug 0001 Rolf Schneider 0001 Ralph Schuster Integral geometry of tensor valuations. 482-509 2008 41 Adv. Appl. Math. 4 https://doi.org/10.1016/j.aam.2008.04.001 db/journals/aam/aam41.html#00010S08

Károly J. Böröczky Jr. Lars Michael Hoffmann Daniel Hug 0001 Expectation of intrinsic volumes of random polytopes. 143-164 2008 57 Period. Math. Hung. 2 https://doi.org/10.1007/s10998-008-8143-4 db/journals/pmh/pmh57.html#BoroczkyHH08

Daniel Hug 0001 Rolf Schneider 0001 Typical Cells in Poisson Hyperplane Tessellations. 305-319 2007 38 Discret. Comput. Geom. 2 https://doi.org/10.1007/s00454-007-1340-9 db/journals/dcg/dcg38.html#HugS07

John Gates Daniel Hug 0001 Rolf Schneider 0001 Valuations on Convex Sets of Oriented Hyperplanes. 57-65 2005 33 Discret. Comput. Geom. 1 https://doi.org/10.1007/s00454-004-1126-2 db/journals/dcg/dcg33.html#GatesHS05

Daniel Hug 0001 Erwin Lutwak Deane Yang Gaoyong Zhang On the L<sub>p</sub> Minkowski Problem for Polytopes. 699-715 2005 33 Discret. Comput. Geom. 4 https://doi.org/10.1007/s00454-004-1149-8 db/journals/dcg/dcg33.html#HugLYZ05

Daniel Hug 0001 Rolf Schneider 0001 Large Cells in Poisson-Delaunay Tessellations. 503-514 2004 31 Discret. Comput. Geom. 4 https://doi.org/10.1007/s00454-003-0818-3 db/journals/dcg/dcg31.html#HugS04

Imre Bárány Thomas Böhlke Károly Böröczky Jr.Károly J. Böröczky Jr.Károly J. Böröczky Felix Ernesti John Gates Lars Michael Hoffmann Julia Hörrmann Markus Kiderlen Michael Andreas Klatt Günter Last Erwin Lutwak Klaus Mecke D. Pabst Matthias Reitzner Matti Schneider Rolf Schneider 0001 Ralph Schuster Anne Marie Svane Steffen Winter Deane Yang Gaoyong Zhang