PURPOSE: A magnetic resonance image method using compression sensing and a system thereof are provided to reduce the whole scan time of the magnetic resonance image system by reducing the number of k-space samples by finding an optimal k-space sampling trace and optimizing a parameter of the sampling trace.CONSTITUTION: A medical image sampled with a Nyquist rate is prepared(201). A first sampling medical image is expressed on a k-space through 2D fast Fourier transform(202). A parameter a and a parameter x of a hyperbolic spiral trace are changed in a predetermined range(203). A price function C of an image restored through compression sensing is calculated(204). If a currently obtained price function C value is greater than a recorded price function C value, A current parameter a and x are updated into a parameter ai and xi value for an Ith medical image(205). i is compared with I which is the number of all samples(206). A final parameter of the hyperbolic spiral trace is determined by calculating an arithmetic average value of the parameter ai and xi obtained for I pieces of each image(207).COPYRIGHT KIPO 2013[Reference numerals] (202) 2D FFT of a first medical image (203) Changing parameters a and &chi of hyperboilc spiral trace in a k-space (204) Calculating a price function C of an image restored through compression sensing (205) Recording the current parameters a and &chi if the current price function C is greater than recorded parameters a_i and &chi_i (207) Obtaining an arithmetic average value of the parameters a_i and &chi_i and matching to the optimum parameters a^* and &chi^* (AA) Start (BB) End본 발명은 압축 센싱을 이용한 자기 공명 영상 기법 및 시스템을 제공한다. 본 발명에 따르면, 입력 영상에 대해 k 공간(k-space)에서 압축 센싱 기법을 이용하여 하나 이상의 쌍곡 나선(hyperbolic spiral) 궤적을 따라 샘플링을 수행하고, 상기 샘플링 결과로 획득된 데이터들에 대해 2차원 역고속푸리에변환을 수행하여 재구성 영상을 획득한다. 이와 같이 하면 나이키스트 속도보다 적은 샘플링으로 좋은 품질의 재구성 영상을 획득할 수 있다.
