A method of reconstructing an image from a set of MRI data points in space acquired from an imaging slice, using space encoding with one or more gradient fields that are each nonlinear as functions of position in a space encoding direction, the method comprising: a) multiplying a vector of the data points by a reconstruction matrix which differs from a fourier transform matrix at least due to taking into account the nonlinearity of the one or more gradient fields; and b) obtaining a vector of voxel densities for the image.
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