Comparison of the Complete Fourier Direct MRI with existing diffusion weighted MRI methods

The Complete Fourier Direct (CFD) MRI method introduced in earlier work for modeling the diffusion weighted MRI signal is compared with the existing methods. The preservation of Hermitian symmetry in the diffusion weighted MRI signal without affecting its energy is the key point that differentiates CFD-MRI from the existing methods. By keeping the correct Fourier relationship intact, the joint distribution function is represented `as it is', without any constraints, e.g. being symmetric. The necessity to model or assume models for spin motion and try to fit the model to the samples of the Fourier transform as in case of model matching methods is not required because the Discrete Fourier Transform applied to correctly processed signal in CFD-MRI gives more accurate results.