Abstract
We study surface reconstruction using a combination of anisotropic Gaussian filter and image segmentation technique -the minimum surface method. Anisotropic Gaussian filtering allows to manage a contrast between intensities of the discontinuity and the object in a desired direction. The minimum surface method detects properly outer boundaries even affected by boundary leakage in the vicinity of blurred edges. The algorithm is tested on a set of real 3D images of large corrosion cracks in stainless steel that initiated at the surface of the tested samples. Results are presented and discussed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Buffiere, J.Y., Ferrie, E., Proudhon, H., Ludwig, W.: Three-dimensional visualisation of fatigue cracks in metals using high resolution synchrotron X-ray micro-tomography. Materials Science and Technology 22(9), 1019–1024 (2006)
Birosca, S., Buffiere, J.Y., Garcia-Pastor, F.A., Karadge, M., Babout, L., Preuss, M.: Three-dimensional characterization of fatigue cracks in Ti-6246 using X-ray tomography and electron backscatter diffraction. Acta Materialia 57(19), 5834–5847 (2009)
Babout, L., Marrow, T.J., Engelberg, D., Withers, P.J.: X-ray microtomographic observation of intergranular stress corrosion cracking in sensitised austenitic stainless steel. Materials Sc. and Technology 22(9), 1068–1075 (2006)
Farin, G.: Curves and surfaces for CAGD. A practical guide, 5th edn., 499 p. Academic Press, USA (2002)
Eck, M., Hoppe, H.: Automatic reconstruction of B-spline surfaces of arbitrary topological type. In: Proc. 23rd Ann. Conf. on Comp. Graphics Inter. Tech., pp. 325–334 (1996)
Stoddart, A.J., Baker, M.S.: Surface reconstruction and compression using multiresolution arbitrary topology G1 continuous splines. In: Proc. 14th Int. Conf. on Patt. Recogn., vol. 1, pp. 788–792 (1998)
Davis, J., Marschner, S.R., Garr, M., Levoy, M.: Filling holes in complex surfaces using volumetric diffusion. In: Proc. 1st Int. Symp. on 3D Data Proc., Padua, Italy, pp. 1–11 (2002)
Bae, E., Weickert, J.: Partial differential equations for interpolation and compression of surfaces. In: Dæhlen, M., Floater, M., Lyche, T., Merrien, J.-L., Mørken, K., Schumaker, L.L. (eds.) MMCS 2008. LNCS, vol. 5862, pp. 1–14. Springer, Heidelberg (2010)
Verdera, J., Bertalmio, M., Sapiro, G.: Inpainting surface holes. In: Proc. Int. Conf. on Image Proc., pp. 903–906 (2003)
Kazhdan, M., Bolitho, M., Hoppe, H.: Poisson surface reconstruction. In: Proc. of the 4th Eurographics symp. on Geom., SGP 2006, pp. 61–70. Eurographics Assoc., Switzerland (2006)
McInerney, T., Terzopoulos, D.: Deformable Models in Medical Image Analysis: A Survey. Medical Image Analysis 1(2), 91–108 (1996)
Fan, X., Bazin, P.-L., Bogovic, J., Bai, Y., Prince, J.L.: A multiple geometric deformable model framework for homeomorphic 3D medical image segmentation. In: Proc. Comp. Vis. and Patt. Recogn. Workshops, CVPRW 2008, pp. 1–7 (2008)
Keuper, M., Padeken, J., Heun, P., Burkhardt, H., Ronneberger, O.: A 3D active surface model for the accurate segmentation of drosophila Schneider cell nuclei and nucleoli. In: Bebis, G., Boyle, R., Parvin, B., Koracin, D., Kuno, Y., Wang, J., Wang, J.-X., Wang, J., Pajarola, R., Lindstrom, P., Hinkenjann, A., Encarnação, M.L., Silva, C.T., Coming, D. (eds.) ISVC 2009. LNCS, vol. 5875, pp. 865–874. Springer, Heidelberg (2009)
Shen, T., Li, H., Qian, Z., Huang, X.: Active volume models for 3D medical image segmentation. In: Proc. of CVPR 2009, pp. 1–8 (2009)
Jalba, A.C., Roerdink, J.B.T.M.: Efficient surface reconstruction from noisy data using regularized membrane potentials. IEEE Transaction on image processing 18(5), 1119–1134 (2009)
Appleton, B., Talbot, H.: Globally minimal surfaces by continuous maximal flows. IEEE Trans. Patt. Anal. and Mach. Intell. 28(1), 106–118 (2006)
Marak, L.: Segmention with minimum surface. MS thesis, ESIEE, Paris, pp. 1–48 (2008)
Geusebroek, J.M., Smeulders, A.W.M., van de Weijer, J.: Fast anisotropic Gauss filtering. IEEE Transaction on image processing 12(8), 938–943 (2003)
Lampert, C.H., Wirjadi, O.: An optimal nonorthogonal separation of the anisotropic Gaussian convolution filter. IEEE Transaction on image processing 15(11), 3502–3514 (2006)
Ford, J.L.R., Fulkerson, D.R.: Flows in networks. Princeton University Press, NJ (1962)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kornev, A., Babout, L., Janaszewski, M., Talbot, H. (2010). Outer Surface Reconstruction for 3D Fractured Objects. In: Bolc, L., Tadeusiewicz, R., Chmielewski, L.J., Wojciechowski, K. (eds) Computer Vision and Graphics. ICCVG 2010. Lecture Notes in Computer Science, vol 6375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15907-7_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-15907-7_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15906-0
Online ISBN: 978-3-642-15907-7
eBook Packages: Computer ScienceComputer Science (R0)