Discrete mesh search method is commonly used to determine fiber orientations by searching orientations corresponding local maxima of orientation distribution function (ODF). However, this method may produce extra errors relating to the number of sampling points of ODF in fiber orientation estimate. We address this problem and minimize the error of fiber orientation estimate by using Nelder-Mead simplex method. The results from computer simulation and phantom experiment show that Nelder-Mead simplex method gives accurate fiber orientation estimation better than discrete mesh search method with ODF sampling points less than 163,842.
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