@article{COCV_1999__4__335_0, author = {Pasquignon, Denis}, title = {Approximation of viscosity solution by morphological filters}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {335--359}, publisher = {EDP-Sciences}, volume = {4}, year = {1999}, mrnumber = {1693049}, zbl = {0929.65063}, language = {en}, url = {http://archive.numdam.org/item/COCV_1999__4__335_0/} }
TY - JOUR AU - Pasquignon, Denis TI - Approximation of viscosity solution by morphological filters JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 1999 SP - 335 EP - 359 VL - 4 PB - EDP-Sciences UR - http://archive.numdam.org/item/COCV_1999__4__335_0/ LA - en ID - COCV_1999__4__335_0 ER -
Pasquignon, Denis. Approximation of viscosity solution by morphological filters. ESAIM: Control, Optimisation and Calculus of Variations, Tome 4 (1999), pp. 335-359. http://archive.numdam.org/item/COCV_1999__4__335_0/
[1] Axioms and fundamental equations of image processing. Arch. Rational Mech. 123 ( 1993) 199-257. | MR | Zbl
, , and ,[2] Convergence of approximation schemes for fully nonlinear second order equations. Asymptotic Analysis 4 ( 1991) 271-283. | MR | Zbl
and ,[3] Partial Differential Equations and Mathematical Morphology. J. Math. Pures Appl. 77 ( 1998) 909-941. | MR | Zbl
,[4] A Morphological Scheme for Mean Curvature Motion. SIAM J. Numer. Anal. ( 1995) SINUM 32.6. | MR | Zbl
, and ,[5] Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. J. Differential Geom. 33 ( 1991) 749-786 | MR | Zbl
, and ,[6] User's guide to viscosity solution of second order partial differential equations. Bull. Amer. Math. Soc. (N.S.) 27 ( 1992) 1-67. | MR | Zbl
, and ,[7] Motion of level sets by mean curvature I. J. Differential Geom. 33 ( 1991) 635-681. | MR | Zbl
and ,[8] Partial Differential Equation and image iterative filtering. Tutorial of ICIP 95, Washington D.C. ( 1995).
and ,[9] Generalized Motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor. Tohoku Math. J. 47 ( 1995) 227-250. | MR | Zbl
and ,[10] The structure of images. Biol. Cybern. 50 ( 1984) 363-370. | MR | Zbl
,[11] Shapes, shocks and deformations. Internat. J. Comput. Vision ( 1994).
, and ,[12] Random sets and Integral Geometry (John Wiley N.Y., 1975). | MR | Zbl
,[13] Computation of skeleton by PDE. IEEE-ICIP, Washington D.C. ( 1995).
,[14] Image Analysis and Mathematical Morphology. Vol. 2, Theoretical Advances, Serra Ed. (London Academic Press, 1988). | MR | Zbl
,[15] Scale space filtering, in Proc. of IJCAI, Karlsruhe ( 1983) 1019-1021.
,