Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
Alvarez, Luis; Lions, Pierre-Louis; Morel, Jean-Michel (1992), Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II, SIAM Journal on Numerical Analysis, 29, 3, p. 845-866. http://dx.doi.org/10.1137/0729052
TypeArticle accepté pour publication ou publié
Journal nameSIAM Journal on Numerical Analysis
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Abstract (EN)A stable algorithm is proposed for image restoration based on the “mean curvature motion” equation. Existence and uniqueness of the “viscosity” solution of the equation are proved, a $L^\infty $ stable algorithm is given, experimental results are shown, and the subjacent vision model is compared with those introduced recently by several vision researchers. The algorithm presented appears to be the sharpest possible among the multiscale image smoothing methods preserving uniqueness and stability.
Subjects / Keywordsmean curvature motion of level sets; image restoration; viscosity solutions; multiscale vision models
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Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints Lasry, Jean-Michel; Lions, Pierre-Louis (1989) Article accepté pour publication ou publié