Complex Fiber Visualization.
Tomán, Henrietta, Tornai, Róbert, Zichar, Marianna (2007)
Annales Mathematicae et Informaticae
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Tomán, Henrietta, Tornai, Róbert, Zichar, Marianna (2007)
Annales Mathematicae et Informaticae
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Stašová, Olga, Mikula, Karol, Handlovičová, Angela, Peyriéras, Nadine
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This paper presents and summarize our results concerning the nonlinear tensor diffusion which enhances image structure coherence. The core of the paper comes from [3, 2, 4, 5]. First we briefly describe the diffusion model and provide its basic properties. Further we build a semi-implicit finite volume scheme for the above mentioned model with the help of a co-volume mesh. This strategy is well-known as diamond-cell method owing to the choice of co-volume as a diamondshaped polygon,...
Diewald, U., Preusser, T., Rumpf, M., Strzodka, R. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Weickert, J. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Hrabě, Jan
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An improved version of the Integrative Optical Imaging (IOI) method for diffusion measurements in a geometrically complex environment of the brain extracellular space has been developed. We present a theory for this Fast Optical Tracking Of Diffusion (FOTOD) which incorporates a time-dependent effective diffusion coefficient in homogeneous anisotropic media with time-dependent nonspecific linear clearance. FOTOD can be used to measure rapid changes in extracellular diffusion permeability...
Rambidi, Nicholas G. (2001)
Discrete Dynamics in Nature and Society
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A. P. Benson, S. H. Gilbert, P. Li, S. M. Newton, A. V. Holden (2008)
Mathematical Modelling of Natural Phenomena
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Detailed descriptions of cardiac geometry and architecture are necessary for examining and understanding structural changes to the myocardium that are the result of pathologies, for interpreting the results of experimental studies of propagation, and for use as a three-dimensional orthotropically anisotropic model for the computational reconstruction of propagation during arrhythmias. Diffusion tensor imaging (DTI) provides a means to reconstruct fibre and sheet orientation throughout...
Max Duarte, Marc Massot, Stéphane Descombes (2011)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper, we investigate the coupling between operator splitting techniques and a time parallelization scheme, the parareal algorithm, as a numerical strategy for the simulation of reaction-diffusion equations modelling multi-scale reaction waves. This type of problems induces peculiar difficulties and potentially large stiffness which stem from the broad spectrum of temporal scales in the nonlinear chemical source term as well as from the presence of large spatial gradients in...