![]() ![]() Master’s thesis, Technische Universität München (2006) 1, 269–271 (1959)Įsedoglu, S., Shen, J.: Digital inpainting based on the Mumford-Shah-Euler image model. 58(5), 579–619 (2005)ĭijkstra, E.W.: A note on two problems in connexion with graphs. Society for Industrial and Applied Mathematics (SIAM), Philadelphia (2005)Ĭhan, T.F., Shen, J.: Variational image inpainting. AMS, Providence (2002)Ĭhan, T.F., Shen, J.: Mathematical models for local nontexture inpaintings. In: Inverse problems, image analysis, and medical imaging, New Orleans, LA, 2001. 63(2), 564–592 (2002)Ĭhan, T.F., Shen, J.: Inpainting based on nonlinear transport and diffusion. No. XII, p. 15 (1998), downloadable at the url /caselles98image.htmlĬhan, T.F., Kang, S.H., Shen, J.: Euler’s elastica and curvature-based inpainting. In: Séminaire sur les Équations aux Dérivées Partielles, École Polytech., Palaiseau, 1997–1998. ACM Press/Addison-Wesley, New York (2000)Ĭaselles, V., Masnou, S., Morel, J.-M., Sbert, C.: Image interpolation. on Computer Graphics and Interactive Techniques, New Orleans, pp. 417–424. IEEE Press, New York (2001)īertalmio, M., Sapiro, G., Caselles, V., Ballester, C.: Image inpainting. on Computer Vision and Pattern Recognition, Kauai, vol. I, pp. 355–362. Springer, New York (2002)īertalmio, M., Bertozzi, A.L., Sapiro, G.: Navier-Stokes, fluid dynamics, and image and video inpainting. 68(1):65–82, 2006), while being faster by at least an order of magnitude.Īubert, G., Kornprobst, P.: Mathematical Problems in Image Processing. on Computer Graphics and Interactive Techniques, New Orleans, ACM Press/Addison-Wesley, New York, pp. 417–424, 2000), Masnou (IEEE Trans. Experiments with the inpainting of gray tone and color images show that the novel algorithm meets the high level of quality of the methods of Bertalmio et al. Depending on a measure of coherence strength the method switches continuously between diffusion and directional transport. It traverses the inpainting domain by the fast marching method just once while transporting, along the way, image values in a coherence direction robustly estimated by means of the structure tensor. For reasons of stability a large number of iterations can be needed which results in a computational complexity that is often too large for interactive image manipulation.īased on a detailed analysis of stationary first order transport equations the current paper develops a fast noniterative method for image inpainting. These methods are iterative by nature, with a time variable serving as iteration parameter. High-quality image inpainting methods based on nonlinear higher-order partial differential equations have been developed in the last few years. ![]()
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