Abstract
Phase field models provide a well-established framework for the mathematical description of free boundary problems for image segmentation. In phase field models interfaces represent edges of jacquard images and the determination of the edges of jacquard images is the main goal of image segmentation. In this paper, the phase field model was applied to segment and recognize pattern structures of jacquard images. The segmentation was performed in two major steps. Firstly, a pattern extraction and representation was performed by an adaptive mesh generation scheme. For the conjugate gradient method has been successfully used in solving the symmetric and positive definite systems obtained by the finite element approximation of energy functionals, a novel conjugate gradient algorithm was adapted to the minimization of energy functional of discrete phase model. Experimental results show efficiency of our approach.
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Abouelela, A., Abbas, H.M., Eldeeb, H., Wahdan, A.A., Nassar, S.M.: Automated vision system for localizing structural defects in textile fabrics. Pattern Recognition Letters 26, 1435–1443 (2005)
Kumar, A.: Neural network based detection of local textile defects. Pattern Recognition 36, 1645–1659 (2003)
Sezer, O.G., Ertuzun, A., Ercil, A.: Automated inspection of textile defects using independent component analysis. In: Proceedings of the 12th IEEE Conference on Signal Processing and Communications Applications, pp. 743–746 (2004)
Yang, X.Z., Pang, G., Yung, N.: Fabric defect classification using wavelet frames and minimum classification error training. In: Proceedings of the 37th IAS Annual Meeting on Industry Applications, pp. 290–296 (2002)
Burger, M., Capasso, V.: Mathematical modelling and simulation of non-isothermal crystal-lization of polymers. Mathematical Models and Methods in Applied Sciences 6, 1029–1053 (2001)
Nestler, B., Wheeler, A.: Phase-field modeling of multi-phase solidification. Computer Physics Communications 147, 230–233 (2002)
Barles, G., Soner, H., Souganidis, P.: Front propagation and phase field theory. SIAM Journal on Control and Optimization 31, 439–469 (1993)
Chalupecky, V.: Numerical Studies of Cahn-Hilliard Equation and Applications in Image Processing. In: Proceedings of Czech-Japanese Seminar in Applied Mathematics, pp. 10–22 (2004)
Benes, M., Chalupecky, V., Mikula, K.: Geometrical image segmentation by the Allen-Cahn equation. Applied Numerical Mathematics 51, 187–205 (2004)
Han, B.C., Van der Ven, A., Morgan, D.: Electrochemical modeling of intercalation processes with phase field models. Electrochimica Acta 49, 4691–4699 (2004)
Ambrosio, L., Tortorelli, V.M.: Approximation of functionals depending on jumps by elliptic functionals via Γ-convergence. Communications on Pure and Applied Mathematics 43, 999–1036 (1990)
Modica, L.: The gradient theory of phase transitions and the minimal interface criterion. Archive for Rational Mechanics and Analysis 98, 123–142 (1987)
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Feng, Z., Yin, J., He, Z., Zuo, W., Dong, J. (2005). New Approach for Segmentation and Pattern Recognition of Jacquard Images. In: Hao, Y., et al. Computational Intelligence and Security. CIS 2005. Lecture Notes in Computer Science(), vol 3802. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11596981_143
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DOI: https://doi.org/10.1007/11596981_143
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-30819-5
Online ISBN: 978-3-540-31598-8
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