Outer Surface Reconstruction for 3D Fractured Objects

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.

[1]  Christoph H. Lampert,et al.  Internet: www.itwm.fraunhofer.de , 2022 .

[2]  D. R. Fulkerson,et al.  Flows in Networks. , 1964 .

[3]  Henry Proudhon,et al.  Three-dimensional visualisation of fatigue cracks in metals using high resolution synchrotron X-ray micro-tomography , 2006 .

[4]  Demetri Terzopoulos,et al.  Deformable models in medical image analysis: a survey , 1996, Medical Image Anal..

[5]  Philip J. Withers,et al.  X-ray microtomographic observation of intergranular stress corrosion cracking in sensitised austenitic stainless steel , 2006 .

[6]  Michael Preuss,et al.  Three-dimensional characterization of fatigue cracks in Ti-6246 using X-ray tomography and electron backscatter diffraction , 2009 .

[7]  Joost van de Weijer,et al.  Fast Anisotropic Gauss Filtering , 2002, ECCV.

[8]  Ying Bai,et al.  A multiple geometric deformable model framework for homeomorphic 3D medical image segmentation , 2008, 2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops.

[9]  Matthias Eck,et al.  Automatic reconstruction of B-spline surfaces of arbitrary topological type , 1996, SIGGRAPH.

[10]  Hugues Talbot,et al.  Globally minimal surfaces by continuous maximal flows , 2003, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[11]  Tian Shen,et al.  Active volume models for 3D medical image segmentation , 2009, CVPR.

[12]  Guillermo Sapiro,et al.  Inpainting surface holes , 2003, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429).

[13]  Jos B. T. M. Roerdink,et al.  Efficient Surface Reconstruction From Noisy Data Using Regularized Membrane Potentials , 2006, IEEE Transactions on Image Processing.

[14]  Michael M. Kazhdan,et al.  Poisson surface reconstruction , 2006, SGP '06.

[15]  Margret Keuper,et al.  A 3D Active Surface Model for the Accurate Segmentation of Drosophila Schneider Cell Nuclei and Nucleoli , 2009, ISVC.

[16]  Steve Marschner,et al.  Filling holes in complex surfaces using volumetric diffusion , 2002, Proceedings. First International Symposium on 3D Data Processing Visualization and Transmission.

[17]  Andrew J. Stoddart,et al.  Surface reconstruction and compression using multiresolution arbitrary topology G/sup 1/ continuous splines , 1998, Proceedings. Fourteenth International Conference on Pattern Recognition (Cat. No.98EX170).

[18]  G. Farin Curves and Surfaces for Cagd: A Practical Guide , 2001 .

[19]  Joachim Weickert,et al.  Partial Differential Equations for Interpolation and Compression of Surfaces , 2008, MMCS.