Partial differential equations and image smoothing
Séminaire Goulaouic-Schwartz (1995-1996), Exposé no. 21, 30 p. 
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     author = {Caselles, Vicent and Coll, Bartomeu and Morel, Jean-Michel},
     title = {Partial differential equations and image smoothing},
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     pages = {1--30},
     year = {1995-1996},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
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     zbl = {0877.35055},
     language = {en},
     url = {https://www.numdam.org/item/SEDP_1995-1996____A21_0/}
}
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Caselles, Vicent; Coll, Bartomeu; Morel, Jean-Michel. Partial differential equations and image smoothing. Séminaire Goulaouic-Schwartz (1995-1996), Exposé no. 21, 30 p.. https://www.numdam.org/item/SEDP_1995-1996____A21_0/

[AGLM1] L. Alvarez, F. Guichard, P.L. Lions and J.M. Morel, Axioms and fundamental equations of image processing Report 9216, 1992 CEREMADE. Université Paris Dauphine. Arch. for Rat. Mech. 16, IX, 200-257, 1993 | Zbl | MR

[AMI] L. Alvarez and J.M. Morel. Formalization and Computational Aspects of Image Analysis, Acta Numerica, 1994, Cambridge University Press. | Zbl | MR

[AM] L. Alvarez and Freya Morales. Affine Morphological Multiscale Analysis of Corners and Multiple Junctions. Ref 9402, August 1994, Dept. Informatica y Systemas, Universidad de Las Palmas de Gran Canaria. To appear in International Journal of Computer Vision.

[BMO] B. Merriman, J. Bence and S. Osher, Motion of multiple junctions: a level set approach, CAM Report 93-19. Depart. of Mathematics. University of California, Los Angeles CA, June 1993. | Zbl | MR

[CCCD] V. Caselles, F. Catté, T. Coll and F. Dibos. A geometric model for active contours in image processing. Numerische Mathematik, 66, 1-31, 1993. | Zbl | MR

[CCM] V. Caselles, T. Coll and J.M. Morel. A Kanizsa programme, preprint, Ceremade, 1995. Submitted to Int. Journal of Comp. Vision.

[CGG] Y.G. Chen, Y. Giga and S. Goto. Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. J. Diff. Geometry, 33, 749-786, 1991. | Zbl | MR

[CIL] M.G. Crandall, H. Ishii and P.L. Lions, User's guide to viscosity solutions of second order partial differential equation, Bull. Amer. Math. Soc., 27,1-67,1992. | Zbl | MR

[ES] L.C. Evans and J. Spruck. Motion of level sets by mean curvature. J. Differential Geom., (33): 635-681, 1991. | Zbl | MR

[F] W. Fuchs. Experimentelle Untersuchungen ueber das simultane Hintereinandersehen auf der selben Sehrichtung, Zeitschrift fuer Psychologie, 91, 154-253, 1923

[GH] M. Gage And R.S. Hamilton, The heat equation shrinking convex plane curves, J. Differential Geometry 23, 69-96, 1986. | Zbl | MR

[GGIS] Y. Giga, S. Goto, H. Ishii and M.M. Sato. Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains. Indiana Univ. Math. J., 40, 443-470, 1991. | Zbl | MR

[Gr] M. Grayson, The heat equation shrinks embedded plane curves to round points, J. Differential Geometry 26, 285-314, 1987. | Zbl | MR

[GM] F. Guichard and J.M. Morel. Image Iterative Smoothing and P.D.E.'s. To appear, Cambridge University Press.

[Ka] G. Kanizsa Vedere e pensare, Il Mulino, Bologna, 1991.

[KTZ] B.B. Kimia, A. Tannenbaum, and S.W. Zucker, On the evolution of curves via a function of curvature, 1: the classical case, J. of Math. Analysis and Applications 163, No 2, 1992. | Zbl | MR

[MS] J.M. Morel and S. Solimini. Variational methods in image processing, Birkhäuser, 1994.

[NM] M. Nitzberg and D. Mumford. "The 2.1 Sketch", in Proceedings of the Third International Conference on Computer Vision, Osaka 1990.

[OS] S. Osher and J. Sethian, Fronts propagating with curvature dependent speed: algorithms based on the Hamilton-Jacobi formulation, J. Comp. Physics 79, 12-49, 1988. | Zbl | MR

[ST1] G. Sapiro and A. Tannenbaum. On affine plane curve evolution. Journal of Functional Analysis, 119, 1, 79-120, 1994. | Zbl | MR

[Wi] A.P. Witkin. Scale-space filtering. Proc. of IJCAI, Karlsruhe 1983, 1019-1021.