Patent ID: 7081751

Claim:
A method for estimating nuclear magnetic resonance (NMR) properties of NMR-observable samples, the method comprising the steps of: acquiring NMR data using a rosette k-space trajectory, the NMR data being acquired under controlled conditions; modeling a behavior of an NMR-observable sample using a parameterized equation S n that parameterizes the complete equation, the parameterized equation being: s n = ∑ q ⁢ ⁢ ∑ r ⁢ ⁢ M xy0 ⁡ ( q , r ) ⁢ g ⁡ ( q , r ) n ⁢ ψ n ⁡ ( q , r ) , the M xy0 (q,r) parameter corresponding to a spin density of the NMR-observable sample, the g(q,r) parameter corresponding to a relaxation rate of the NMR-observable sample, the g(q,r) parameter further corresponding to frequency of the NMR-observable sample, the ψ n (q,r)corresponding to a known spatial phase modulation imposed by gradient magnetic fields, the n parameter corresponding to the nth observed sample; and inverting the entire parameterized equation using the acquired NMR data, the inverted parameterized equation providing an estimate of M xy0 (q,r) and g(q,r).