Magnetic resonance imaging apparatus and image processing method
Provided is a magnetic resonance imaging apparatus with no occurrence of artifacts, even after noise removal by applying Wavelet transform to a zero-fill reconstructed image. Nuclear magnetic resonance signals acquired by the magnetic resonance imaging apparatus are processed to perform reconstruction with a reconstruction matrix extended by zero-filling an acquisition matrix, and then a zero-fill reconstructed image is produced. This reconstructed image is subjected to an iterative operation combining the Wavelet transform and L1 norm minimization to remove noise. Before the noise removal, a pre-processing is performed to change the reconstruction matrix size so that an artifact does not occur in the image after noise removal, an artifact portion appears outside the reconstruction matrix after the noise removal, or cutting out is performed so that no artifact appears after the noise removal. The matrix size is restored to its original size in the post-processing after the noise removal.
1. A magnetic resonance imaging apparatus comprising,
a measuring unit having a transmission unit configured to transmit an RF magnetic field pulse to a subject disposed in a static magnetic field;
a receiving unit configured to receive a nuclear magnetic resonance signal generated by the subject;
a gradient magnetic field generator for providing a gradient magnetic field to the static magnetic field; and
a computer configured to perform an operation on the nuclear magnetic resonance signal received by the receiving unit,
wherein the computer is programmed to:
process the nuclear magnetic resonance signal being received to generate a reconstructed image with a reconstruction matrix obtained by extending an acquisition matrix by zero-filling,
remove noise from the reconstructed image after changing the size of a matrix of the reconstructed image by setting a mother wavelet as a reference and expanding/contracting and parallel translating the mother wavelet, thereby creating a noise-removed image,
restore the matrix of the reconstructed image after the noise removal, to the reconstruction matrix,
convert the noise-removed image from the image space data to k-space data by a Fourier transform, and
cut out a reconstruction matrix size that is a same as a size prior the extending of the acquisition matrix in the k-space to obtain the reconstructed image.
2. The magnetic resonance imaging apparatus according to claim 1 ,
wherein the computer is programmed to transform the matrix of the reconstructed image to a matrix larger than the reconstruction matrix.
3. The magnetic resonance imaging apparatus according to claim 2 ,
wherein the computer is programmed to extend the matrix of the reconstructed image to the matrix larger than the reconstruction matrix, by zero-filling.
4. The magnetic resonance imaging apparatus according to claim 2 ,
wherein the computer is programmed to extend the matrix of the reconstructed image to be four times larger than the acquisition matrix.
5. The magnetic resonance imaging apparatus according to claim 1 ,
wherein, the computer is programmed to remove the noise after changing the matrix of the reconstructed image to be smaller than the reconstruction matrix, and
restore the matrix of the reconstructed image after the noise removal to the reconstruction matrix.
6. The magnetic resonance imaging apparatus according to claim 5 ,
wherein computer is programmed to use the size of the acquisition matrix, as the size of the matrix smaller than the reconstruction matrix.
7. The magnetic resonance imaging apparatus according to claim 5 ,
wherein computer is programmed to use as the size of the matrix smaller than the reconstruction matrix, a value of power of two in a size equal to or larger than the acquisition matrix and smaller than the reconstruction matrix.
8. An image processing method for noise removal in an image acquired by a magnetic resonance imaging apparatus, the method comprising:
processing the acquired image to generate a reconstructed image obtained with a reconstruction matrix extended by zero-filling an acquisition matrix of nuclear magnetic resonance signals;
removing noise using an L1 norm minimization process from the reconstructed image after changing the size of a matrix of the reconstructed image and by setting a mother wavelet as a reference and expanding/contracting and parallel translating the mother wavelet, thereby creating a noise-removed image;
restoring the matrix size of the reconstructed image after the noise removal to an original size;
converting the noise-removed image from the image space data to k-space data by a Fourier transform; and
cutting out a reconstruction matrix size that is a same as a size prior the extending of the acquisition matrix in the k-space to obtain the reconstructed image.