Diffusion tensor imaging can be used to localize major white matter tracts within the human brain. For surgery of tumors near eloquent brain areas such as the pyramidal tract this information is of importance to achieve an optimal resection while avoiding post-operative neurological deficits. However, due to the small bandwidth of echo planar imaging, diffusion tensor images suffer from suscept...

Introduction Diffusion weighted single shot spin-echo planer imaging (DW-EPI) is commonly used for diffusion tensor imaging (DTI). DW-EPI is very sensitive to static magnetic field (B0) inhomogeneities (such as that near air-tissue boundary) that produce geometric distortion, primarily along the phase-encoding direction. As a result, artifacts are severe in the frontal and temporal lobes due to...

In this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. Almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. But we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as Legendre ...