Magnetic resonance imaging apparatus, image processing apparatus, image processing method, and program

An image processing method executed by a processor that converts data acquired by imaging a subject into an image, the image processing method comprising:

• acquiring partial measurement data of an asymmetrical measurement region of a k-space;
• estimating data of an unmeasured region other than the measurement region of the k-space by applying a half-Fourier method or a projection onto convex sets (POCS) method to the partial measurement data;
• acquiring a corrected image in which data of the k-space including the partial measurement data of the measurement region and the estimated data of the unmeasured region is reconstructed;
• acquiring a smoothing-corrected image obtained by performing smoothing filter processing on the corrected image;
• acquiring smoothing-corrected data of the k-space obtained by performing a Fourier transform on the smoothing-corrected image;
• replacing the data of the unmeasured region in the smoothing-corrected data of the k-space with zero data;
• acquiring a smoothed image in which the data of the k-space including the smoothing-corrected data of the measurement region and the zero data of the unmeasured region is reconstructed;
• and
• estimating an output image by inputting the smoothed image to a first trained model that has been trained to receive an input of an input reconstruction image in which the data of the k-space including data of the measurement region is reconstructed and output an estimated reconstruction image in which the data of the unmeasured region is estimated.