Advanced search
Publication Cover
Philosophical Magazine Volume 96, 2016 - Issue 2
Submit an article Journal homepage
273
Views
21
CrossRef citations to date
0
Altmetric
Part A: Materials Science

Fitting Laguerre tessellation approximations to tomographic image data

A. SpettlInstitute of Stochastics, Ulm University, Ulm, Germany.Correspondence[email protected]
View further author information
,
T. BreretonInstitute of Stochastics, Ulm University, Ulm, Germany.View further author information
,
Q. DuanSchool of Mathematics and Physics, The University of Queensland, Brisbane, Australia.View further author information
,
T. WerzInstitute of Micro and Nanomaterials, Ulm University, Ulm, Germany.View further author information
,
C. E. Krill IIIInstitute of Micro and Nanomaterials, Ulm University, Ulm, Germany.View further author information
,
D. P. KroeseSchool of Mathematics and Physics, The University of Queensland, Brisbane, Australia.View further author information
&
V. SchmidtInstitute of Stochastics, Ulm University, Ulm, Germany.View further author information
 show all
Pages 166-189 | Received 06 Aug 2015, Accepted 23 Nov 2015, Published online: 12 Jan 2016

Citations (21)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (4)

Andreas Alpers, Maximilian Fiedler, Peter Gritzmann & Fabian Klemm. (2023) Dynamic grain models via fast heuristics for diagram representations. Philosophical Magazine 103:10, pages 948-968.
Read now
D. P. Bourne, P. J. J. Kok, S. M. Roper & W. D. T. Spanjer. (2020) Laguerre tessellations and polycrystalline microstructures: a fast algorithm for generating grains of given volumes. Philosophical Magazine 100:21, pages 2677-2707.
Read now
Kirubel Teferra & David J. Rowenhorst. (2018) Direct parameter estimation for generalised balanced power diagrams. Philosophical Magazine Letters 98:2, pages 79-87.
Read now
Ondřej Šedivý, Tim Brereton, Daniel Westhoff, Leoš Polívka, Viktor Beneš, Volker Schmidt & Aleš Jäger. (2016) 3D reconstruction of grains in polycrystalline materials using a tessellation model with curved grain boundaries. Philosophical Magazine 96:18, pages 1926-1949.
Read now

Articles from other publishers (17)

Andreas AlpersMaximilian FiedlerPeter Gritzmann & Fabian Klemm. (2023) Turning Grain Maps into Diagrams. SIAM Journal on Imaging Sciences 16:1, pages 223-249.
Crossref
Filip Seitl, Jesper Møller & Viktor Beneš. (2022) Fitting three-dimensional Laguerre tessellations by hierarchical marked point process models. Spatial Statistics 51, pages 100658.
Crossref
Christophe Leblanc, Nanda Gopala Kilingar, Anne Jung, Karim Ehab Moustafa Kamel, Thierry Jacques Massart, Ludovic Noels & Eric Béchet. (2022) Analysis of an open foam generated from computerized tomography scans of physical foam samples. International Journal for Numerical Methods in Engineering 123:18, pages 4267-4295.
Crossref
Anne Jung, Claudia Redenbach, Katja Schladitz & Sarah Staub. 2022. Research in Mathematics of Materials Science. Research in Mathematics of Materials Science 257 281 .
Lukas Petrich, Orkun Furat, Mingyan Wang, Carl E. Krill III & Volker Schmidt. (2021) Efficient Fitting of 3D Tessellations to Curved Polycrystalline Grain Boundaries. Frontiers in Materials 8.
Crossref
Orkun Furat, Lukas Petrich, Donal P. Finegan, David Diercks, Francois Usseglio-Viretta, Kandler Smith & Volker Schmidt. (2021) Artificial generation of representative single Li-ion electrode particle architectures from microscopy data. npj Computational Materials 7:1.
Crossref
Kirubel Teferra & David J. Rowenhorst. (2021) Optimizing the cellular automata finite element model for additive manufacturing to simulate large microstructures. Acta Materialia 213, pages 116930.
Crossref
F. Seitl, L. Petrich, J. Staněk, C. E. KrillIIIIII, V. Schmidt & V. Beneš. (2020) Exploration of Gibbs-Laguerre Tessellations for Three-Dimensional Stochastic Modeling. Methodology and Computing in Applied Probability 23:2, pages 669-693.
Crossref
Pedro M.C. Carneiro, Pedro V. Gamboa, Carmen Baudín & Abílio P. Silva. (2020) Modelling of elastic modulus of a biphasic ceramic microstructure using 3D representative volume elements. Journal of the European Ceramic Society 40:3, pages 901-910.
Crossref
Lukas Petrich, Jakub Staněk, Mingyan Wang, Daniel Westhoff, Luděk Heller, Petr Šittner, Carl E. KrillIIIIII, Viktor Beneš & Volker Schmidt. (2019) Reconstruction of Grains in Polycrystalline Materials From Incomplete Data Using Laguerre Tessellations. Microscopy and Microanalysis 25:3, pages 743-752.
Crossref
Grzegorz Grabowski. (2019) Modelling of thermal expansion of single- and two-phase ceramic polycrystals utilising synthetic 3D microstructures. Computational Materials Science 156, pages 7-16.
Crossref
Ondřej Šedivý, Daniel Westhoff, Jaromír Kopeček, Carl E. Krill III & Volker Schmidt. (2018) Data-Driven Selection of Tessellation Models Describing Polycrystalline Microstructures. Journal of Statistical Physics 172:5, pages 1223-1246.
Crossref
Konrad Gładyszewski & Mirko Skiborowski. (2018) Additive manufacturing of packings for rotating packed beds. Chemical Engineering and Processing - Process Intensification 127, pages 1-9.
Crossref
Supanut Chaidee & Kokichi Sugihara. (2018) Spherical Laguerre Voronoi diagram approximation to tessellations without generators. Graphical Models 95, pages 1-13.
Crossref
Anastasia Kruglova, Michael Roland, Stefan Diebels, Tim Dahmen, Philipp Slusallek & Frank M?cklich. (2017) Modelling and characterization of ductile fracture surface in Al-Si alloys by means of Voronoi tessellation. Materials Characterization 131, pages 1-11.
Crossref
Aaron Spettl, Simon Bachstein, Maksym Dosta, Monika Goslinska, Stefan Heinrich & Volker Schmidt. (2016) Bonded-particle extraction and stochastic modeling of internal agglomerate structures. Advanced Powder Technology 27:4, pages 1761-1774.
Crossref
Supanut Chaidee & Kokichi Sugihara. 2016. Discrete and Computational Geometry and Graphs. Discrete and Computational Geometry and Graphs 73 84 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.