A reoccurring theme in the diffusion tensor imaging literature is the per-voxel estimation of a symmetric 3 x 3 tensor describing the measured diffusion. In this work we attempt to generalize this approach by calculating 2 or 3 or up to k diffusion tensors for each voxel. We show that our procedure can more accurately describe the diffusion particularly when crossing fibers or fiber-bundles are...

In this paper, the coupled mode theory is used to analyze apodized fiber Bragg gratings (FBGs). Since the profile of gratings varies with the propagation distance, the coupled mode equations (CMEs) of apodized FBGs are solved by the fourth-order Runge-Kutta method (RKM) and piecewise-uniform approach (PUA). We present two discretization techniques of PUA to analyze the apodization profile of gr...

r. ewing, o. liev, r. lazarov and a. naumovich in [1] proposed a finite volume discretization for one dimensional biot poroelasticity system in multilayer domains. their discretization and exact solution are invalid. we derive valid discretization and exact solution. finally, our numerical solution is compared with known exact solution in discrete l2 norm.

This article examines the influence of parameters coating teeth discrete drum on quality OE yarn. Based analysis conditions for retention fibers by covering drum, equations were obtained to determine angle inclination teeth. To effect yarn quality, experiments performed using Full Factor Experiments mathematical planning method, and a regression equation was each variable. As result, optimal va...

This paper examines the sensitivity of computed seismic system demands to modeling choices made at the material level. Accurate constitutive models of the constituent materials in a reinforced concrete (RC) section, namely, unconfined concrete, confined concrete and reinforcing steel are necessary for direct use in fiber-section discretization of RC components. The characteristics of the cyclic...

We study the connection between minimizers of the discrete and the continuous Rudin-Osher-Fatemi models. We use a centraldifference total variation term in the discrete ROF model and treat the discrete input data as a projection of the continuous input data into the discrete space. We employ a method developed in [13] with slight adaption to the setting of the central-difference total variation...