Startseite 3D image analysis and stochastic modelling of open foams
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

3D image analysis and stochastic modelling of open foams

  • André Liebscher und Claudia Redenbach
Veröffentlicht/Copyright: 31. Mai 2013
Veröffentlichen auch Sie bei De Gruyter Brill

Abstract

We present methods for the geometric characterisation and stochastic modelling of open foams based on tomographic 3D image data. In the first step, geometric characteristics of the foam microstructure are estimated from the image. Using these characteristics, a random tessellation model is fitted to the cell system of the foam. The edges of this tessellation then serve as a skeleton for the foam's strut system. The focus of the paper is on the correct simulation of the foam's locally varying strut thickness in the model. For this purpose, the local strut thickness and the strut profiles are estimated from the image and reproduced in the model using locally adaptable morphology.


* Correspondence address Dr. Claudia Redenbach, University of Kaiserslautern, Mathematics Department, Erwin-Schrödinger-Straße, D-67663 Kaiserslautern, Germany, Tel.: +49 631 205 36 20, Fax: +49 631 205 27 48, E-mail:

References

[1] J.Banhart: Prog. Mater. Sci.46 (2001) 559. 10.1016/S0079-6425(00)00002-510.1016/S0079-6425(00)00002-5Suche in Google Scholar

[2] S.Kanaun, O.Tkachenko: Int. J. Fracture140 (2006) 305. 10.1007/s10704-006-0112-510.1007/s10704-006-0112-5Suche in Google Scholar

[3] S.Kanaun, O.Tkachenko: Int. J. Eng. Sci.46 (2008) 551. 10.1016/j.ijengsci.2008.01.01210.1016/j.ijengsci.2008.01.012Suche in Google Scholar

[4] O.Cuisenaire: Pattern Recogn.39 (2006) 405. 10.1016/j.patcog.2005.07.00910.1016/j.patcog.2005.07.009Suche in Google Scholar

[5] C.Lautensack, M.Giertzsch, M.Godehardt, K.Schladitz: J. Microsc.230 (2008) 396. 10.1111/j.1365-2818.2008.01998.x10.1111/j.1365-2818.2008.01998.xSuche in Google Scholar PubMed

[6] R.Schneider, W.Weil: Stochastic and Integral Geometry, Springer, Heidelberg (2008). 10.1007/978-3-540-78859-110.1007/978-3-540-78859-1Suche in Google Scholar

[7] H.Hadwiger: Vorlesungen über Inhalt, Oberfläche und Isoperimetrie, Springer, Heidelberg (1957).10.1007/978-3-642-94702-5Suche in Google Scholar

[8] J.Ohser, K.Schladitz. 3d Images of Materials Structures–Processing and Analysis, Wiley-VCH, Weinheim (2009).10.1002/9783527628308Suche in Google Scholar

[9] D.Stoyan, W.S.Kendall, J.Mecke: Stochastic Geometry and Its Applications, John Wiley & Sons, Chichester (1995).Suche in Google Scholar

[10] Fraunhofer ITWM: MAVI – Modular Algorithms for Volume Images, 2005.Suche in Google Scholar

[11] J.Plateau: Statique Expérimentale et Théorique des Liquides soumis aux Seules Forces Moléculaires, Gauthier (1873).Suche in Google Scholar

[12] F.Aurenhammer: Discrete Comput. Geom.2 (1987) 49. 10.1007/BF0218787010.1007/BF02187870Suche in Google Scholar

[13] C.Lautensack, S.Zuyev: Adv. Appl. Probab.40 (2008) 630. 10.1239/aap/122286817910.1239/aap/1222868179Suche in Google Scholar

[14] K.Schladitz, C.Redenbach, T.Sych, M.Godehardt: Meth. Comput. Appl. Probab. 10.1007/s11009-010-9208-5Suche in Google Scholar

[15] P.Soille: Morphological image analysis, Springer (1999).10.1007/978-3-662-03939-7Suche in Google Scholar

[16] F.B.Tek, A.G.Dempster, I.Kale, in: C.Ronse, L.Najman, and E.Decencière (Eds.), Computational Imaging and Vision, Vol. 30, Springer (2005) 441.10.1007/1-4020-3443-1_40Suche in Google Scholar

[17] J.Serra: Image Analysis and Mathematical Morphology, Academic Press, London (1982).Suche in Google Scholar

[18] J.Chaussard, M.Couprie, H.Talbot: Pattern Recogn. Lett.32 (2010) 1384. 10.1016/j.patrec.2010.09.00210.1016/j.patrec.2010.09.002Suche in Google Scholar

[19] M.Couprie, D.Coeurjolly, R.Zrour: Image Vision Comput.25 (2007) 1543. 10.1016/j.imavis.2006.06.02010.1016/j.imavis.2006.06.020Suche in Google Scholar

[20] A.Liebscher, C.Redenbach: Statistical analysis of the local strut thickness of open cell foams, in preparation.Suche in Google Scholar

[21] J.Illian, A.Penttinen, H.Stoyan, D.Stoyan: Statistical Analysis and Modelling of Spatial Point Patterns, John Wiley & Sons, Chichester (2008).Suche in Google Scholar

[22] A.Bezrukov, M.Bargiel, D.Stoyan: Part. Syst. Charact.19 (2001) 111. 10.1002/1521-4117(200205)19:2<111::AID-PPSC111>3.0.CO;2-MSuche in Google Scholar

[23] K.Sugihara: Theor. Comput. Sci.235 (2000) 325. 10.1016/S0304-3975(99)00202-910.1016/S0304-3975(99)00202-9Suche in Google Scholar

[24] C.Redenbach, in V.Capasso et al. (Eds.), The MIRIAM Project Series, Vol. 4, ESCULAPIO Pub. Co., Bologna (2009) 51.Suche in Google Scholar

[25] C.Redenbach: Comp. Mater. Sci.44 (2009) 1397. 10.1016/j.commatsci.2008.09.01810.1016/j.commatsci.2008.09.018Suche in Google Scholar

[26] W.-Y.Jang, A.Kraynik, S.Kyriakides: Int. J. Solids Struct.45 (2008) 1845. 10.1016/j.ijsolstr.2007.10.00810.1016/j.ijsolstr.2007.10.008Suche in Google Scholar

[27] C.Redenbach, O.Wirjadi, S.Rief, A.Wiegmann: Adv. Eng. Mater.13 (2011) 171. 10.1002/adem.20100022210.1002/adem.201000222Suche in Google Scholar

[28] www.esiee.fr/∼coupriem/es/.Suche in Google Scholar

Received: 2011-7-21
Accepted: 2011-10-24
Published Online: 2013-05-31
Published in Print: 2012-02-01

© 2012, Carl Hanser Verlag, München

Heruntergeladen am 30.10.2025 von https://www.degruyterbrill.com/document/doi/10.3139/146.110667/html?lang=de
Button zum nach oben scrollen