References
[1] Bertalmio, M., Sapiro, G., Caselles, V., & Ballester, C. (2000). Image inpainting. Proceedings of the 27th annual conference on Computer graphics and interactive techniques, (pp. 417–424).
[2] Bertalmio, M., Bertozzi, A. L., & Sapiro, G. (2001). Navier-stokes, fluid dynamics, and image and video inpainting. Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001, 1, pp. I–I.
[3] Perona, P., & Malik, J. (1990). Scale-space and edge detection using anisotropic diffusion. IEEE Transactions on pattern analysis and machine intelligence, 12, 629–639.
[4] Rudin, L. I., Osher, S., & Fatemi, E. (1992). Nonlinear total variation based noise removal algorithms. Physica D: nonlinear phenomena, 60, 259–268.
[5] Chan, T. F., Shen, J., & Zhou, H.-M. (2006). Total variation wavelet inpainting. Journal of Mathematical imaging and Vision, 25, 107–125.
[6] Shen, J., Kang, S. H., & Chan, T. F. (2003). Euler's elastica and curvature-based inpainting. SIAM journal on Applied Mathematics, 63, 564–592.
[7] Chan, T. F., & Shen, J. (2001). Nontexture inpainting by curvature-driven diffusions. Journal of visual communication and image representation, 12, 436–449.
[8] Bertozzi, A. L., Esedoglu, S., & Gillette, A. (2006). Inpainting of binary images using the Cahn–Hilliard equation. IEEE Transactions on image processing, 16, 285–291.
[9] Burger, M., He, L., & Schönlieb, C.-B. (2009). Cahn–Hilliard inpainting and a generalization for grayvalue images. SIAM Journal on Imaging Sciences, 2, 1129–1167.
[10] Zou, Q. (2021). An image inpainting model based on the mixture of Perona–Malik equation and Cahn–Hilliard equation. Journal of Applied Mathematics and Computing, 66, 21–38.
[11] Bertozzi, A., & Schönlieb, C.-B. (2011). Unconditionally stable schemes for higher order inpainting. Communications in Mathematical Sciences, 9, 413–457.
[12] Gillette, A. (2006). Image inpainting using a modified Cahn-Hilliard equation. Ph.D. dissertation, University of California Los Angeles.
[13] Schonlieb, C.-B. (2009). Modern PDE techniques for image inpainting. Ph.D. dissertation, University of Cambridge.
[14] Wang, Z., Bovik, A. C., Sheikh, H. R., & Simoncelli, E. P. (2004). Image quality assessment: from error visibility to structural similarity. IEEE transactions on image processing, 13, 600–612.