Search results for " Anisotropic Diffusion"

showing 2 items of 2 documents

Monotonic solution of flow and transport problems in heterogeneous media using Delaunay unstructured triangular meshes

2013

Transport problems occurring in porous media and including convection, diffusion and chemical reactions, can be well represented by systems of Partial Differential Equations. In this paper, a numerical procedure is proposed for the fast and robust solution of flow and transport problems in 2D heterogeneous saturated media. The governing equations are spatially discretized with unstructured triangular meshes that must satisfy the Delaunay condition. The solution of the flow problem is split from the solution of the transport problem and it is obtained with an approach similar to the Mixed Hybrid Finite Elements method, that always guarantees the M-property of the resulting linear system. The…

Mathematical optimizationFinite volume methodDiscretizationTransport problem porous media anisotropic diffusion tensor heterogeneous medium M-matrix Delaunay mesh edge swap numerical methods finite elementsDelaunay triangulationAnisotropic diffusionLinear systemMonotonic functionFinite element methodSettore ICAR/01 - IdraulicaApplied mathematicsPolygon meshWater Science and TechnologyMathematics
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Noise Filtering Using Edge-Driven Adaptive Anisotropic Diffusion

2008

This paper presents a method aimed to noise removal in MRI (Magnetic Resonance Imaging). We propose an improvement of Perona and Malik's anisotropic diffusion filter. In our schema, the diffusion equation of the filter has been modified to take into account the edges direction, This allows the filter to blur uniform areas, while it better preserves the edges. Both quantitative and qualitative evaluation is presented and the results are compared with other methods.

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniNoise Removal Magnetic Resonance Images Anisotropic Diffusion Brain MRIDiffusion equationNoise measurementComputer scienceAnisotropic diffusionWiener filterComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONFilter (signal processing)Edge-preserving smoothingMagnetic fieldAdaptive filtersymbols.namesakeComputer Science::Computer Vision and Pattern RecognitionsymbolsAlgorithm2008 21st IEEE International Symposium on Computer-Based Medical Systems
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