Abstract
This paper proposes a novel noniterative orientation adaptive image inpainting algorithm. Assuming the image can be locally modeled, the filling process is formulated as a linear optimization problem, which the optimal coefficients can be adapted to match an arbitrary-oriented edge based on local geometric similarity. We provided A Weighted Least Square (WLS) method is provided to offer a convenient way of finding the optimal solution, which the weight function is selected based on the non local means. We also present Group Marching method (GMM) as the propagation scheme such that sharp edges are well propagated into the missing region layer by layer while maintaining the local geometric similarity. A number of examples on real and synthetic images demonstrate the effectiveness of our algorithm.
This work is supported by the National Science Fund for Distinguished Young Scholars (No.60525213) and the Key Project (Project No. 60533030) of NSFC, and 973 Program of China (Project No.2006CB303106).
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References
Ashikhmin, M.: Synthesizing natural textures. In: 2001 ACM Symposium on Interactive 3D Graphics, pp. 217–226. ACM Press, Los Angeles (2001)
Bertalmio, M., Sapiro, G., Caselles, V., Ballester, C.: Image Inpainting. In: Proceedings of SIGGRAPH 2000, pp. 417–424. ACM Press, New Orleans (2000)
Tschumperle, D., Deriche, R.: Vector-valued image regularization with PDES’s: A common framework for different application. IEEE Trans. pattern Anal. Mach. Intell. 27, 506–517 (2005)
Chan, T., Shen, J.: Mathematical models for local non-texture inpainting. SIAM J. Appl. Math. 62, 1019–1043 (2001)
Chan, T., Shen, J.: Non-texture inpainting by curvature-driven diffusions. J. Visual Comm. Image Rep. 12, 436–449 (2001)
Telea, A.: An image inpainting technique based on the fast marching method. J. Graphics Tools 9, 23–34 (2004)
Wang, Z., Zhou, F., Qi, F.: Inpainting thick image regions using isophote propagation. In: Proc. IEEE Int. Conf. Image Processing, vol. 3, pp. 689–692. IEEE Press, Altanta (2006)
Kim, S.: An O(N) level set method for Eikonal equation. SIAM J. Scientific Computing 22, 2178–2193 (2001)
Li, X., Orchard, M.: Edge directed prediction for lossless compression of natural images. IEEE Trans. Image Processing 10, 813–817 (2001)
Li, X., Orchard, M.: New edge directed interpolation. IEEE Trans. Image Processing 10, 1521–1526 (2000)
Li, X., Orchard, M.: Novel sequential error concealment techniques using orientation adaptive interpolation. IEEE Trans. on Circuits and Systems for video technology 12, 30–40 (2000)
Kang, M.G., Katsagelos, A.K.: Simultaneous iterative image restoration and evaluation of the regularization parameter. IEEE Trans. Signal Process 40, 2329–2334 (1992)
Bertozzi, A.L., Esedoglu, S., Gillette, A.: Inpainting of Binary Images Using the Cahn–Hilliard Equation. IEEE Trans. Image Processing 16, 285–291 (2007)
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Qi, P., Luo, X., Zhu, J. (2009). An Image Inpainting Algorithm Based on Local Geometric Similarity. In: Huet, B., Smeaton, A., Mayer-Patel, K., Avrithis, Y. (eds) Advances in Multimedia Modeling . MMM 2009. Lecture Notes in Computer Science, vol 5371. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92892-8_43
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DOI: https://doi.org/10.1007/978-3-540-92892-8_43
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