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Licensed Unlicensed Requires Authentication Published by De Gruyter May 31, 2013

Beyond imaging: on the quantitative analysis of tomographic volume data

Claudia Redenbach , Alexander Rack , Katja Schladitz , Oliver Wirjadi and Michael Godehardt


Tomographic techniques are a valuable analytical tool as they deliver 3D spatial information on a given specimen. Both computed tomography with high spatial resolution and quantitative volume image analysis have made enormous progress during the last decade. In particular for materials and natural science applications the combination of high-resolution three-dimensional imaging and the subsequent image analysis exploiting the fully preserved spatial structural information yield new and exciting insights.

In this paper, field-tested and up-to-date methods for tomographic imaging of microstructures, for processing and for quantitatively analysing three-dimensional images are reviewed. By selected applications from materials research, we shall underline the importance of volume image analysis as a crucial step in order to go beyond the images: it allows determination of spatial cross-correlations between different constituents of a specimen, investigation of orientations or derivation of statistically relevant information such as object size distributions. The core part of this work consists, besides the exemple application scenarios, in the processing chain, the tools and methods used.

* Correspondence address Dr. Claudia Redenbach, University of Kaiserslautern, Mathematics Department, Erwin-Schrödinger Straße, D-67663 Kaiserslautern, Germany, Tel.: +49 (0) 631 205 36 20, Fax: +49 (0) 631 205 27 48, E-mail:


[1] D.Blavette, A.Bostel, J.M.Sarrau, B.Deconihout, A.Menand: Nature363 (1993) 432.Search in Google Scholar

[2] A.Kubis, G.Shiflet, R.Hull, D.Dunn: Metallurg. Mater. Trans. A35 (2004) 1935.Search in Google Scholar

[3] S.R.Stock: MicroComputed Tomography: Methodology and Applications. CRC Press, Boca Raton (2008).Search in Google Scholar

[4] J.Banhart (Ed.): Advanced Tomographic Methods in Materials Research and Engineering. Oxford University Press (2008).10.1093/acprof:oso/9780199213245.001.0001Search in Google Scholar

[5] J.Hsieh: Computed Tomography: Principles, Design, Artifacts and Recent Advances. SPIE Press, Bellingham, WA, 2nd edition (2009).Search in Google Scholar

[6] A.C.Kak, M.Slaney: Principles of Computerized Tomographic Imaging. IEEE Press, New York (1988).Search in Google Scholar

[7] M.Feser, J.Gelb, H.Chang, H.Cui, F.Duewer, S.H.Lau, A.Tkachuk, W.Yun: Meas. Sci. Tech.19 (2008) 094001.Search in Google Scholar

[8] P.Cloetens, W.Ludwig, J.Baruchel, D.Van Dyck, J.Van Landuyt, J.P.Guigay, M.Schlenker: Appl. Phys. Lett.75 (1999) 2912.Search in Google Scholar

[9] D.Chapman, W.Thomlinson, R.E.Johnston, D.Washburn, E.Pisano, N.Gmür, Z.Zhong, R.Menk, F.Arfelli, D.Sayers: Phys. Med. Biol.42 (1997) 2015.Search in Google Scholar

[10] T.Weitkamp, A.Diaz, C.David, F.Pfeiffer, M.Stampanoni, P.Cloetens, E.Ziegler: Opt. Express13 (2005) 6296.Search in Google Scholar

[11] R.A.Brooks, G.Di Chiro: Med. Phys.3 (1976) 237.Search in Google Scholar

[12] M.Di Michiel, J.M.Merino, D.Fernandez-Carreiras, T.Buslaps, V.Honkimäki, P.Falus, T.Martins, O.Svensson: Rev. Sci. Instrum.76 (2005) 043702.Search in Google Scholar

[13] A.Rack, F.García-Moreno, C.Schmitt, O.Betz, A.Cecilia, A.Ershov, T.Rack, J.Banhart, S.Zabler: J. X-ray Sci. Tech.18 (2010) 429.Search in Google Scholar

[14] A.King, G.Johnson, D.Engelberg, W.Ludwig, J.Marrow: Science321 (2008) 382.Search in Google Scholar

[15] G.Harding, J.Kosanetzky: Nucl. Instr. Meth. in Phys. Res. A280 (1989) 517.Search in Google Scholar

[16] L.Helfen, A.Myagotin, A.Rack, P.Pernot, P.Mikulík, M.Di Michiel, T.Baumbach: Phys. Status Solidi A204 (2007) 2760.Search in Google Scholar

[17] P.Bleuet, P.Cloetens, P.Gergaud, D.Mariolle, N.Chevalier, R.Tucoulou, J.Susini, A.Chabli: Rev. Sci. Instrum.80 (2009) 056101.Search in Google Scholar

[18] A.M.Korsunsky, N.Baimpas, X.Song, J.Belnoue, F.Hofmann, B.Abbey, M.Xie, J.Andrieux, T.Buslaps, T.Khin Neo: Acta Mater.59 (2011) 2501.Search in Google Scholar

[19] S.R.Stock, F.De Carlo, J.D.Almer: J. Struct. Biol.161 (2008) 144.Search in Google Scholar

[20] N.Zoeger, C.Streli, P.Wobrauscheck, C.Jokubonis, G.Pepponi, P.Roschger, J.Hofstaetter, A.Berzelanovich, D.Wegrzynek, E.Chinea-Cano, A.Markowicz, R.Simon, G.Falkenberg: X-ray Spectrom.37 (2008) 3.Search in Google Scholar

[21] M.Dierolf, A.Menzel, P.Thibault, P.Schneider, C.M.Kewish, R.Wepf, O.Bunk, F.Pfeiffer: Nature467 (2010) 436.Search in Google Scholar

[22] A.Rack, S.Zabler, B.R.Müller, H.Riesemeier, G.Weidemann, A.Lange, J.Goebbels, M.Hentschel, W.Görner: Nucl. Instr. & Meth. in Phys. Res. A586 (2008) 327.Search in Google Scholar

[23] O.Wirjadi: Models and Algorithms for Image-Based Analysis of Microstructures. PhD thesis, Technical University Kaiserslautern (2009).Search in Google Scholar

[24] J.Ohser, W.Nagel, K.Schladitz: Image Anal. Stereol.28 (2009) 77.Search in Google Scholar

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

[26] J.Ohser, W.Nagel, K.Schladitz, in: K.R.Mecke, D.Stoyan, (Eds.), Morphology of Condensed Matter, volume 600 of Lecture Notes in Physics, Springer-Verlag, Berlin (2002) 275.10.1007/3-540-45782-8_12Search in Google Scholar

[27] N.R.Pal, S.K.Pal: Pattern Recogn, 26 (1993) 1277.10.1016/0031-3203(93)90135-JSearch in Google Scholar

[28] O.Wirjadi: Survey of 3d image segmentation methods, Technical Report 123, Fraunhofer ITWM, Kaiserslautern (2007).Search in Google Scholar

[29] M.Sezgin, B.Sankur: J. Electron. Imaging13 (2004) 146.Search in Google Scholar

[30] N.Otsu: IEEE T. Syst. Man Cyb.9 (1979) 62.10.1109/TSMC.1979.4310076Search in Google Scholar

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

[32] J.Ohser, C.Ferrero, O.Wirjadi, A.Kuznetsova, J.Düll, A.Rack: Int. J. Mater. Res.103 (2012) 184, 10.3139/146.110669Search in Google Scholar

[33] C.R.Maurer, V.Raghavan: IEEE T. Pattern Anal.25 (2003) 265.Search in Google Scholar

[34] L.Vincent, P.Soille: IEEE T. Pattern Anal.13 (1991) 583.Search in Google Scholar

[35] F.B.Tek, A.G.Dempster, I.Kale, in: C.Ronse, L.Najman, and E.Decencire, (Eds.), Proc. Int. Symp. on Mathematical Morphology, volume 30 of Computational Imaging and Vision, Dordrecht, Springer-Verlag (2005) 441.Search in Google Scholar

[36] M.Godehardt, K.Schladitz, in: Proceedings of the 9th European NDT Conference, Berlin (2006).Search in Google Scholar

[37] D.Stoyan, W.S.Kendall, J.Mecke: Stochastic Geometry and Its Applications, Wiley, Chichester, 2nd edition (1995).Search in Google Scholar

[38] J.Ohser, C.Redenbach, K.Schladitz: Image Anal. Stereol.28 (2009) 101.Search in Google Scholar

[39] J.Freitag, F.Wilhelms, S.Kipfstuhl: J. Glaciol.50 (2004) 243.Search in Google Scholar

[40] R.Hilfer, in: K. R.Mecke, D.Stoyan (Eds.), Statistical Physics and Spatial Statistics, volume 554 of Lecture Notes in Physics, Springer-Verlag, Heidelberg (2000) 203.Search in Google Scholar

[41] H.Altendorf, D.Jeulin: Image Anal. Stereol.28 (2009) 143.Search in Google Scholar

[42] M.Krause, J.M.Hausherr, B.Burgeth, C.Herrmann, W.Krenkel: J. Mater. Sci.45 (2010) 888.Search in Google Scholar

[43] N.I.Fisher, T.Lewis, B.J.J.Embleton: Statistical analysis of spherical data. Cambridge University Press, Cambridge (1987).10.1017/CBO9780511623059Search in Google Scholar

[44] S.Beucher: Image Vision Comput.25 (2007) 405.10.1016/j.imavis.2006.07.020Search in Google Scholar

[45] P.Cloetens, W.Ludwig, E.Boller, L.Helfen, L.Salvo, R.Mache, M.Schlenker: Proc. SPIE4503 (2002) 82.Search in Google Scholar

[46] K.Koch, J.Ohser, K.Schladitz: Adv. Appl. Prob.35 (2003) 603.Search in Google Scholar

[47] A.Rack, L.Helfen, T.Baumbach, S.Kirste, J.Banhart, K.Schladitz, J.Ohser: J. Microscopy232 (2008) 282.Search in Google Scholar

[48] L.Helfen, T.Baumbach, P.Cloetens, H.Stanzick, K.Schladitz, J.Banhart: Appl. Phys. Lett.86 (2005) 231907.Search in Google Scholar

[49] A.Rack, H.-M.Helwig, A.Bütow, A.Rueda, B.Matijašević-Lux, L.Helfen, J.Goebbels, J.Banhart: Acta Mater.57 (2009) 4809.Search in Google Scholar

[50] E.Parra-Denis, C.Barat, D.Jeulin, C.Ducottet: Mater. Charact.59 (2008) 338.Search in Google Scholar

[51] I.Vecchio, K.Schladitz, G.Godehardt, M.Heneka, in: 3rd International Workshop: 3D Imaging, Analysis, Modeling and Simulation of Macroscopic Properties, Fontainebleau (2010).Search in Google Scholar

[52] D.Jeulin, in: M.Bilodeau, F.Meyer, M.Schmitt (Eds.), Space, Structure and Randomness, volume 183 of Lecture Notes in Statistics, Springer-Verlag, New York (2005) 183.10.1007/0-387-29115-6Search in Google Scholar

[53] H.Altendorf, D.Jeulin, in: 3rd International Workshop: 3D Imaging, Analysis, Modeling and Simulation of Macroscopic Properties, Fontainebleau (2010).Search in Google Scholar

[54] C.Peyrega, D.Jeulin, C.Delisée, J.Malvestio: Image Anal. Stereol.28 (2009) 129.Search in Google Scholar

[55] C.Redenbach, in: V. Capasso, G. Aletti, A. Micheletti (Eds.), Stereology and Image Analysis. Ecs10: Proc. 10th Europ. Conf. of ISS., volume 4 of The MIRIAM Project Series, ESCULAPIO Pub. Co., Bologna (2009).Search in Google Scholar

[56] K.Schladitz, S.Peters, D.Reinel-Bitzer, A.Wiegmann, J.Ohser: Comp. Mater. Sci.38 (2006) 56.Search in Google Scholar

Received: 2011-8-14
Accepted: 2011-11-14
Published Online: 2013-05-31
Published in Print: 2012-02-01

© 2012, Carl Hanser Verlag, München

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