Image selective smoothing and edge detection by nonlinear diffusion. II

Keywords

Uniqueness, Smoothing, Mathematics, Image (mathematics), Curvature

References

• Generalized Solutions of Hamilton-Jacobi EquationsPierre‐Louis Lions — 1982
• Analyse fonctionnelle : théorie et applicationsHaı̈m Brezis — 1983
• Finding Edges and Lines in ImagesJohn Canny — 1983
• Edge and Curve Detection for Visual Scene AnalysisA. Rosenfeld, Mark Thurston — 1971
• Segmentation of images by variational methods: a constructive approach.Jean‐Michel Morel, Sergio Solimini — 1988
• Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulationsStanley Osher, James A. Sethian — 1988
• Scaling Theorems for Zero CrossingsAlan Yuille, Tomaso Poggio — 1987
• Theory of edge detectionDavid Marr, Ellen C. Hildreth — 1979
• Feature-oriented image enhancement using shock filtersStanley Osher, L. Rudin — 1990
• Convergence of approximation schemes for fully nonlinear second order equationsGuy Barles, Panagiotis E. Souganidis — 1990
• Linear and Quasilinear Equations of Parabolic TypeO. A. Ladyzhenskai︠a︡ — 1968
• Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domainsYoshikazu Giga — 1991
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equationsYun-Gang Chen, Yoshikazu Giga, Shun’ichi Goto — 1989
• Analyse fonctionnelleAndré Warusfel — 1994
• Image Selective Smoothing and Edge Detection by Nonlinear DiffusionFrancine Catté, Pierre-Louis Lions, Jean‐Michel Morel — 1992
• Scale-space and edge detection using anisotropic diffusionPietro Perona, Jitendra Malik — 1990
• A Diffusion Equation with a Nonmonotone Constitutive FunctionKlaus Höllig, John A. Nohel — 1983
• Scale-Space FilteringA. Witkin — 1983

Cited by

• Noise removal using a nonlinear two-dimensional diffusion networkJean‐Christophe Comte, P. Marquié, Jean-Marie Bilbault — 1998
• Estimación de la Reducción de la radiación de dosis usando el método de Difusión No-Lineal en Radiografías ComputarizadasMaría Guadalupe Sánchez, Belen Jeanine Juste Vidal, Vicente Emilio Vidal Gimeno — 2012
• Self-similar intermediate asymptotics for nonlinear degenerate parabolic free-boundary problems that occur in image processingJay Winter — 2001
• Les EDP en traitement des images et vision par ordinateurRachid Deriche, Olivier Faugeras — 1995
• IMAGE DIFFUSION METHODS WITH INTEGRAL-BASED DIFFUSION COEFFICIENTG. V. Borisenko, А. М. Денисов, A. S. Krylov — 2007
• Curvilinear Structures Segmentation and Tracking in Interventional ImagingNicolas Honnorat — 2013
• Comparison of PDE-Based Nonlinear Diffusion Approaches for Image Enhancement and Denoising in Optical Coherence Tomography由典 岡崎, 浩 伊藤, 克臣 岩倉 — 2007
• Color TV: total variation methods for restoration of vector-valued images三嶋 博之, T F Chan — 1998
• Variational approach for edge-preserving regularization using coupled PDEsFrançois Engelbrecht — 1998
• Fringe pattern denoising using coherence-enhancing diffusion.Вера Алексеевна Кузьмина, И В Антохонова — 2009
• Outils pour la reconstruction automatique de bâtiments à partir d'imagerie aérienneChristophe Vestri — 2000
• Dense Disparity Map Estimation Respecting Image Discontinuities: A PDE and Scale-Space BasedApproachLuis Álvarez, Rachid Deriche, Javier Sánchez — 2002
• Analytical Approximations for Nonlinear Diffusion Time in Multiscale Edge EnhancementCarlos Platero, Javier Sanguino, María C. Tobar — 2009
• A multi-scale non-linear vessel enhancement techniqueLuis Prensa Villegas — 2011
• An ordered-subsets proximal preconditioned gradient algorithm for edge-preserving PET image reconstruction.钱承卫, 邓武, 刘中正 — 2013
• Spectral Graph Cut from a Filtering Point of ViewChengxi Ye, Yuxu Lin, Mingli Song — 2012
• Topological Derivative as a Tool for Image Processing Part I: Image SegmentationIgnacio Larrabide, Antônio André Novotny, Mohamed Masmoudi — 2006
• A Feature-Preserving Adaptive Smoothing Method for Early VisionKe Chen — 2000
• Vérification automatique de la position d'un patient pendant les traitements en radiothérapie externe par recalage d'imagesGisèle Hilt — 2000
• Selective image diffusion for oriented pattern extractionAymeric Histace, Vincent Courboulay, Michel Ménard — 2007

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