Image segmentation and edge enhancement with stabilized inverse diffusion equations

DOI10.1109/83.821738zbMath0979.65059OpenAlexW2164286848WikidataQ51894022 ScholiaQ51894022MaRDI QIDQ2713867

Ilya Pollak, Hamid Krim, Alan S. Willsky

Publication date: 11 June 2001

Published in: IEEE Transactions on Image Processing (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1721.1/3439

zbMATH Keywords

algorithmsstabilityimage processingsemidiscretizationdifference methodenhancementimage segmentationsynthetic aperture radarPerona-Malik equationsliding modesscale-spaceinverse diffusion equations

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (8)

Staircasing in semidiscrete stabilised inverse linear diffusion algorithms ⋮ Geometric analysis of particle motion in a vector image field ⋮ Stable backward diffusion models that minimise convex energies ⋮ CONVERGENCE OF AN ITERATIVE NONLINEAR SCHEME FOR DENOISING OF PIECEWISE CONSTANT IMAGES ⋮ Locally analytic schemes: a link between diffusion filtering and wavelet shrinkage ⋮ Anti-diffusion method for interface steepening in two-phase incompressible flow ⋮ On searching for an optimal threshold for morphological image segmentation ⋮ A discrete theory and efficient algorithms for forward-and-backward diffusion filtering

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