<;P>;PROBLEM TO BE SOLVED: To provide a magnetic resonance imaging apparatus performing a highly precise estimation process suited to a radial sampling method. <;P>;SOLUTION: This magnetic resonance imaging apparatus acquires, in a measurement space, a plurality of nuclear magnetic resonance signal data which are radially disposed around an origin. In the measurement space, a filter is set for selecting data in a first region within a prescribed range from the origin and in a second region including a range separated from the origin with respect to the first region. The selected data are inverse Fourier transformed to acquire first-region inverse-Fourier-transformed data and second-region inverse-Fourier-transformed data. A phase value of the first-region inverse-Fourier-transformed data is subtracted from that of the second-region inverse-Fourier-transformed data to acquire complex conjugate data and acquire estimation data. A reconstruction image is acquired by adding the first and second inverse-Fourier-transformed data and the complex conjugate data. The first and second regions are set not to be overlapped with the estimation data, when the estimation data are Fourier transformed and virtually disposed in the k-space. <;P>;COPYRIGHT: (C)2011,JPO&INPIT