Using mean field annealing to solve anisotropic diffusion problems
نویسندگان
چکیده
Anisotropic diffusion is a powerful method for image feature extraction in which blurring is allowed to occur except at edges. Mean field annealing (MFA) is an image optimization technique which is used to find the best estimation of a blurred, noisy corrupted image. In this paper, we will show that MFA is versatile enough to be used for image feature extraction as well. Furthermore, the two major problems in anisotropic diffusion (white noise and geometric interpretation) can be solved by few modifications of the MFA equation. Finally, experiments and results will be presented.
منابع مشابه
Image segmentation using an annealed Hopfield neural network
Good image segmentation can be achieved by finding the optimum solution to an appropriate energy function. A liopfleld neural network has been shown to solve complex optimization problems fast, but it only guarantees convergence to a local minimum of the optimization function. Alternatively, mean field annealing has been shown to reach the global or the nearly global optimum solution when solvi...
متن کاملScalar and Vector Spherical Harmonic Spectral Equations of Rotating Non-Linear and Linearised Magnetohydrodynamics
Vector spherical harmonic analyses have been used successfully to solve laminar and mean-field magnetohydrodynamic dynamo problems with interactions, such as the laminar induction term, anisotropic alpha-effects and anisotropic diffusion, which are difficult to analyse spectrally in spherical geometries. Spectral forms of the non-linear rotating Boussinesq and anelastic momentum, magnetic field...
متن کاملHyperplane Annealing and Activator-Inhibitor-Systems
This paper introduces a new optimization technique called hyperplane annealing. It is similar to the mean field annealing approach to combinatorial optimization. Both annealing techniques rely on a parallel relaxation dynamic. A connection is shown to a formal model of selforganized pattern formation, the activator-inhibitormodel. The unifying principle of all these relaxation models is a mecha...
متن کاملTime-dependent annealing and deposition on substrates with repulsive interactions
In models of nucleation and growth of crystals on surfaces, it is often assumed that the energy surface of the substrate is flat, that diffusion is isotropic, and that capture numbers can be calculated in the diffusion-controlled limit. We lift these restrictions and formulate the general time-dependent problem in a 2D potential field. We utilize the Master Equation Discretization (MED) method ...
متن کاملA hybrid CS-SA intelligent approach to solve uncertain dynamic facility layout problems considering dependency of demands
This paper aims at proposing a quadratic assignment-based mathematical model to deal with the stochastic dynamic facility layout problem. In this problem, product demands are assumed to be dependent normally distributed random variables with known probability density function and covariance that change from period to period at random. To solve the proposed model, a novel hybrid intelligent algo...
متن کامل