We propose a new digital diffusion-reaction filter for denoising of digital images and data living on graphs. The construction of this filter is motivated by the regularization and diffusion approach to edge detection by Nordström. Properties and convergence of the iteration scheme are studied and numerical results are given. §

Introduction: Diffusion tensor imaging (DTI) is an important medical imaging modality that has been useful to the study of microstructural changes in neurological diseases. However, the image noise level is a major practical limitation, in which one simple solution could be the average signal from a sequential acquisition. Nevertheless, this approach is time-consuming and is not often applied i...

Diffusion weighted imaging (DWI) and diffusion tensor imaging (DTI) are noisy submodalities images in magnetic resonance imaging (MRI) and usually have long acquisition time due to repetitions needed to improve the signal noise ratio (SNR). Here we propose and evaluate anisotropic anomalous diffusion (AAD) filter on DTI and DWI to enhance SNR and reduce the need for repetitions. Anisotropic ano...

An anisotropic diffusion filter contoled by fuzzy rules is presented. The proposed filter is based in the Perona-Malik technique, using a fuzzy reasoning to calculate de diffusion coefficient which controls the whole diffusion. The method has the advantage that it can be used for both smoothing and noise cleaning, as well as edge enhancement. This new aproach also allows ut to model the diffusi...

This article proposes a novel 3D diffusion approach to filter oriented patterns. This approach was first developed to denoise and enhance seismic 3D data composed of a stack of layers disturbed by noise and broken by faults. The proposed filter is an extension of a 2D filter based on a classical diffusion equation including also additional orientation information. Considering 3D structures cont...

Fingerprint enhancement is a critical step in a fingerprint identification system. Recently, some anisotropic nonlinear diffusion filter is applied to the fingerprint preprocessed. Impressive results are main reason for using nonlinear diffusion filtering in image processing. Poor efficiency, especially the computational load, is the main reason for not using nonlinear diffusion filtering. In o...

background: separate radon and thoron measurements in soil are very important in assessment of internal exposure due to inhalation of such radioactive gases. materials and methods: in this study, a low cost, small size, passive diffusion chamber has been developed for simple measurement of radon-222 and radon-220(thoron) gases separately in soil. the diffusion chamber consists of two films and ...