Abstract-The aim of this work was to find an analytical expression describing the b-matrix spatial distribution (BSD) in diffusion tensor imaging, obtained by means of simple calibration to a water isotropic phantom.The bivariate second degree polynomial function was fitted for the complete set of spatially distributed b-matrix elements derived through measurements on a 3 Tesla clinical scanner.Smooth, noise free b-matrices were obtained with clear patterns of systematic errors. Diffusion tensor eigenvalues were derived with much better accuracy than for previous BSD calibration. The proposed approach does not require many averages during the acquisition of the phantom and thus can shorten the BSD calibration.
Abstract-This article describes the determination of the quality of results obtained by various numerical methods for BSD (B-matrix Spatial Distribution). In order to verify the influence of the numerical error on the real data, two datasets acquired using two types of phantoms (isotropic and anisotropic) and the reference random data were analyzed. Additionally examined aspect was the duration of the calculations. The research were carried out on six of numerical methods for solving systems of equations (Gauss, Gauss Jordan, LU, Gauss with partial pivoting, LU (numerical recipes), Gauss-Jordan (numerical recipes)).
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