Free access
Volume 4, 1999
Page(s) 335 - 359
Published online 15 August 2002
  1. L. Alvarez, F. Guichard, P.-L. Lions and J.-M. Morel, Axioms and fundamental equations of image processing. Arch. Rational Mech. 123 (1993) 199-257. [CrossRef] [MathSciNet]
  2. G. Barles and P.M. Souganidis, Convergence of approximation schemes for fully nonlinear second order equations. Asymptotic Analysis 4 (1991) 271-283. [MathSciNet]
  3. F. Cao, Partial Differential Equations and Mathematical Morphology. J. Math. Pures Appl. 77 (1998) 909-941. [CrossRef] [MathSciNet]
  4. F. Catte, F. Dibos and G. Koepfler, A Morphological Scheme for Mean Curvature Motion. SIAM J. Numer. Anal. (1995) SINUM 32.6.
  5. Y.-G. Chen, Y. Giga and S. Goto, Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. J. Differential Geom. 33 (1991) 749-786 [MathSciNet]
  6. M. Crandall, H. Ishii and P.-L. Lions, User's guide to viscosity solution of second order partial differential equations. Bull. Amer. Math. Soc. (N.S.) 27 (1992) 1-67. [CrossRef] [MathSciNet]
  7. L.C. Evans and J. Spruck, Motion of level sets by mean curvature I. J. Differential Geom. 33 (1991) 635-681. [MathSciNet]
  8. F. Guichard and J.M. Morel, Partial Differential Equation and image iterative filtering. Tutorial of ICIP 95, Washington D.C. (1995).
  9. H. Ishii and P. Souganidis, Generalized Motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor. Tohoku Math. J. 47 (1995) 227-250. [CrossRef] [MathSciNet]
  10. J.J. Koenderink, The structure of images. Biol. Cybern. 50 (1984) 363-370. [CrossRef] [PubMed]
  11. B.B. Kimia, A. Tannenbaum - S.W. Zucker, Shapes, shocks and deformations. Internat. J. Comput. Vision (1994).
  12. G. Matheron, Random sets and Integral Geometry (John Wiley N.Y., 1975).
  13. Pasquignon D., Computation of skeleton by PDE. IEEE-ICIP, Washington D.C. (1995).
  14. J. Serra, Image Analysis and Mathematical Morphology. Vol. 2, Theoretical Advances, Serra Ed. (London Academic Press, 1988).
  15. A.P. Witkin, Scale space filtering, in Proc. of IJCAI, Karlsruhe (1983) 1019-1021.