Abstract In this paper, we propose a variational regularization method for denoising and inpainting of diffusion tensor magnetic resonance images. We consider these images as manifold-valued Sobolev functions, i.e. in an infinite dimensional setting, which are defined appropriately. The functionals double integrals, equivalent to semi-norms the Euclidean setting. extend analysis [14] concerning...

Double diffusion refers to a variety of turbulent processes in which potential energy is released into kinetic energy, made possible the ocean by difference molecular diffusivities between salinity and temperature. Here, we present new method for estimating dissipation rates forced double-diffusive convection using temperature data alone. The estimates up-gradient diapycnal buoyancy flux associ...

Repeated application of diffusion gradient pulse pairs [1] in a pulsed field gradient (PFG) experiment provides important insights into pore microstructure. For example, the dimensions and eccentricity of yeast cells were measured from the fourth order term of the double-PFG signal attenuation when the mixing time between the two encoding blocks is long [2]. In this abstract, we propose an alte...