An Implicit Region-Based Deformable Model with Local Segmentation Applied to Weld Defects Extraction

Authors: Y. Boutiche, N. Ramou, M. Ben Gharsallah

Abstract:

This paper is devoted to present and discuss a model that allows a local segmentation by using statistical information of a given image. It is based on Chan-Vese model, curve evolution, partial differential equations and binary level sets method. The proposed model uses the piecewise constant approximation of Chan-Vese model to compute Signed Pressure Force (SPF) function, this one attracts the curve to the true object(s)-s boundaries. The implemented model is used to extract weld defects from weld radiographic images in the aim to calculate the perimeter and surfaces of those weld defects; encouraged resultants are obtained on synthetic and real radiographic images.

Keywords: Active contour, Chan-Vese Model, local segmentation, weld radiographic images.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1076116

References:

[1] V. Caselles, R. Kimmel, and G. Sapiro. Geodesic active contours. Technical report, HP Labs, September 1994. A shorter version appeared at 5th ICCV-95 -Boston.
[2] S. Kichenassamy, A. Kumar, P. Olver, A. Tannenbaum, and A. Yezzi. Gradient flows and geometric active contour models. In Proceedings of the 5th International Conference on Computer Vision, pages 810-815, June 1995.
[3] C. Xu and J.L. Prince. Snakes, shapes, and gradient vector flow. IEEE Transactions on Image Processing, 7(3):359-369, 1998.
[4] Ryo Takei, Active Contours Without Edges and Image Segmentation; Final Project, APMA 922.
[5] Clovis Tauber, Hadj Batatia, Alain Ayache, Une méthode d'initialisation automatique pour contour actif paramétrique, application aux images échographiques ;
[6] G. Sapiro. Geometric Partial Differential Equations and Image Analysis, Cambridge Univ. Press, Cambridge, UK, 2001.
[7] T. Chan and L. Vese. "Active contours without edges", IEEE trans. on image processing, vol. 10, no. 2, (2001).
[8] R. Malladi, J. Sethian, and B. Vemuri. Shape Modeling with Front Propagation: A Level Set Approach. IEEE Transactions on Pattern Analysis and Machine Intelligence, 17:158-175, 1995.
[9] V. Caselles, R. Kimmel, and G. Sapiro, Geodesic Active Contours". In IEEE International Conference in Computer Vision, pages 694-699, 1995.
[10] D. Mumford, J. Shah, Optimal approximation by piecewise smooth functions and associated variation problems, Commun. Pure Appl. Math.42 (1989) 577-685.
[11] T. F. Chan, L. A. Vese, Active contours without edges, IEEE Trans. Image Process. 10 (2) (2001)266-277.
[12] L.A. Vese, T.F. Chan, A multiphase level set framework for image segmentation using the Mumford-Shah model, International Journal of Computer Vision 50, (2002) 271-293.
[13] S. Osher, N. Paragios, "Geometric Level Set Methods in Imaging, Vision, and Graphics", Springer Edition p. 207-226. 2003.
[14] S. Osher, R. Fedkiw, Level Set Methods and Dynamic Implicit Surfaces, Springer-Verlag, New York, 2002.
[15] Kaihua Zhang, Lei Zhang, Huihui Song, Wengang Zhou ; Active contours with selective local or global segmentation: A new formulation and level set method, Image and Vision Computing 28 p. 668-676, 2010.
[16] Xiao-Feng Wang, De-Shuang Huanga, Huan Xua; An efficient local Chan-Vese model for image segmentation; Pattern Recognition 43 p. 603ÔÇö618, 2010.
[17] Y. Shi, W.C. Karl, Real-time tracking using level sets, IEEE Conference on Computer Vision and Pattern Recognition 2, p. 34-41. 2005
[18] P. Perona, J. Malik, Scale-space and edge detection using anisotropic diffusion, IEEE Transaction on Pattern Analysis and Machine Intelligence 12 629-640. 1990.
[19] Y. Boutiche, A Variational Level Set Approach applied to detect weld defects in radiographic images, International Conference on the Image and Signal Processing and their Applications (ISPA'10), December 2010 in Biskra, Algeria.
[20] Y. Boutiche, A Region-Based Model and Binary Level Set Function Applied to Weld Defects Detection in Radiographic Images, International Journal on New Computer Architectures and Their Applications (IJNCAA) 1(1): 236-244, The Society of Digital Information and Wireless Communications, 2011 (ISSN: 2220-9085)