Anisotropic diffusion filtering is widely used for MR image enhancement. However, the anisotropic filter is nonoptimal for MR images with spatially varying noise levels, such as images reconstructed from sensitivity-encoded data and intensity inhomogeneity-corrected images. In this work, a new method for filtering MR images with spatially varying noise levels is presented. In the new method, a ...

The basic governing equations in anisotropic elastic material under the effect of porous piezothermoelastic are presented. Biot [1], Lord & Shulman [4] and Sherief et al. [5] theories are used to develop the basic equations for porous piezothermoelastic with mass diffusion material. The variational principle, uniqueness theorem and theorem of reciprocity in this model are established under the ...

This paper presents an a posteriori residual error estimator for diffusion– convection–reaction problems with anisotropic diffusion, approximated by a SUPG finite element method on isotropic or anisotropic meshes in Rd, d = 2 or 3. The equivalence between the energy norm of the error and the residual error estimator is proved. Numerical tests confirm the theoretical results.

Introduction Steady-state diffusion-weighted imaging enables high-SNR, high-resolution diffusion images of brain and is potentially effective in the diagnosis of stroke location [1]. However, white matter anisotropic tissue contrast can mask out a real stroke location. In order to get rid of the anisotropic effect of diffusion, the whole diffusion tensor is acquired and its trace is derived. Al...

By using modern video-microscopic methods, the diffusive motion of individual particles and even molecules can be observed and followed on a sub-micrometer level. The resulting trajectories are analyzed by statistical means in order to obtain the local rheological properties of the surrounding liquid. We already introduced the distribution of diffusivities [1] as a versatile tool for such analy...

The use of point sets instead of meshes became more popular during the last years. We present a new method for anisotropic fairing of a point sampled surface using an anisotropic geometric mean curvature ßow. The main advantage of our approach is that the evolution removes noise from a point set while it detects and enhances geometric features of the surface such as edges and corners. We derive...

In this paper a new approach to the problem of edge preserving smoothing is proposed and evaluated. The new algorithm is based on the combined forward and backward anisotropic diffusion with incorporated time dependent cooling process. This method is able to efficiently remove image noise while preserving and enhancing image edges, lines and corners. The new method has been applied for the deno...

In this paper we present a mathematical and numerical framework for a procedure of imaging anisotropic electrical conductivity tensor by integrating magneto-acoutic tomography with data acquired from diffusion tensor imaging. Magneto-acoustic Tomography with Magnetic Induction (MAT-MI) is a hybrid, non-invasive medical imaging technique to produce conductivity images with improved spatial resol...

Many sensing techniques and image processing applications are characterized by noisy, or corrupted, image data. Anisotropic diffusion is a popular, and theoretically well understood, technique for denoising such images. Diffusion approaches however require the selection of an “edge stopping” function, the definition of which is typically ad hoc. We exploit and extend recent work on the statisti...