SYSTEM AND METHOD FOR SIMULATANEOUS IMAGE ARTIFACT REDUCTION AND TOMOGRAPHIC RECONSTRUCTION
First Claim
1. A method for reconstructing an image using a medical imaging system, the steps of the method comprising:
- a) acquiring data from a subject with the imaging system;
b) initializing an image matrix having columns that each correspond to a different image;
c) reconstructing at least one image of the subject from the data acquired in step a) by;
i) minimizing a matrix rank of the image matrix; and
ii) constraining the rank minimization of step c)i) subject to a consistency condition that promotes a forward projection of each column in the image matrix to be consistent with a different subset of the acquired data, each subset of the acquired data containing data that are consistent with each other while being inconsistent with data in other subsets of the acquired data.
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Abstract
Described here is a system and method for image reconstruction that can automatically and iteratively produce multiple images from one set of acquired data, in which each of these multiple images corresponds to a subset of the acquired data that is self-consistent, but inconsistent with other subsets of the acquired data. The image reconstruction includes iteratively minimizing the rank of an image matrix whose columns each correspond to a different image. The rank minimization is constrained subject to a consistency condition that enforces consistency between the forward projection of each column in the image matrix and a respective subset of the acquired data that contains data that is consistent with data in the subset, but inconsistent with data not in the subset.
48 Citations
14 Claims
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1. A method for reconstructing an image using a medical imaging system, the steps of the method comprising:
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a) acquiring data from a subject with the imaging system; b) initializing an image matrix having columns that each correspond to a different image; c) reconstructing at least one image of the subject from the data acquired in step a) by; i) minimizing a matrix rank of the image matrix; and ii) constraining the rank minimization of step c)i) subject to a consistency condition that promotes a forward projection of each column in the image matrix to be consistent with a different subset of the acquired data, each subset of the acquired data containing data that are consistent with each other while being inconsistent with data in other subsets of the acquired data. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8)
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9. A method for reconstructing an image using a medical imaging system, the steps of the method comprising:
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a) acquiring data from a subject with the medical imaging system, the acquired data containing a plurality of data consistency classes; b) reconstructing an image of the subject from the data acquired in step a), the image of the subject containing artifacts associated with the data inconsistencies; c) forming an image matrix having a first column corresponding to the image reconstructed in step b); d) computing a target image matrix by iteratively updating the image matrix formed in step c) by minimizing a matrix rank of the image matrix subject to a data consistency condition such that each column of the computed target image matrix corresponds to a different one of the plurality of data consistency classes; and e) providing a first column of the target image matrix computed in step d) and an image of the subject that is substantially free of artifacts. - View Dependent Claims (10, 11, 12, 13, 14)
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Specification