Minimum norm sence reconstruction for optimal spatial response
AssigneeEth Zurich, Eth Transfer
InventorsKlaas Pruessmann, Jeffrey Tsao
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Abstract
A novel magnetic resonance imaging method is described, wherein undersampled magnetic resonance signals are acquired by a receiver antenna system having spatial sensitivity profiles and the image being reconstructed from the undersampled magnetic resonance signals and the spatial sensitivity profiles. The reconstruction of the image is provided by an optimization of a cost function which accounts for any of noise statistics, signal statistics, and the spatial response function, the latter of which is defined by the spatial signal response from the object to be imaged, separately for each individual pixel.
Claims15
A magnetic resonance imaging method wherein spatially encoded undersampled magnetic resonance signals are acquired by one or more receiver antennae and one or more images are reconstructed from the spatially encoded undersampled magnetic resonance signals as a result of optimizing the spatial response function (SRF), which is defined by the spatial signal response from the object to be imaged, individually for each pixel of an image.
A magnetic resonance imaging system comprising:
- a static main magnet having a main magnetic field,
- at least one receiver antenna,
- means for applying a read gradient and other gradients,
- means for measuring MR signals along a predetermined trajectory containing
- a plurality of lines in k-space
- a receiver antenna system having at least one receiver antenna for acquiring undersampled MR signals, each receiver antenna position having a spatial sensitivity profile,
- means for reconstruction the image from the undersampled magnetic resonance signals, and
- means for optimization of a cost function, which determines the deviation of the spatial response function from a target spatial response function specified individually for each pixel of an image and/or its corresponding noise statistics.
A computer program product stored on a computer usable medium for forming an image by means of a magnetic resonance method comprising a computer readable program means for causing the computer to control the execution of:
- applying a read and other gradients,
- measuring MR signals along a predetermined trajectory containing a plurality of lines in k-space
- acquiring undersampled MR signals from a receiver antenna system, each receiver antenna position having a spatial sensitivity profile,
- reconstructing the image from the undersampled magnetic resonance signals, and
- optimization of a cost function, which determines the deviation of the spatial response function from a target spatial response function specified individually for each pixel of an image and/ or its corresponding noise statistics.
Dependencies are inferred from the claim text.