Method and system for parallel reconstruction in the K-space domain for application in imaging systems
First Claim
1. A system for performing parallel image reconstruction of undersampled image data in k-space, the system comprising:
- an imaging apparatus configured to generate first imaging data of an image area and to generate second imaging data of the image area;
a computer-readable medium having computer-readable instructions therein, the instructions comprisingreceiving a defined partitioning of a k-space region into a plurality of segments;
identifying a segment of the plurality of segments wherein data is sampled at less than a Nyquist rate;
sampling the generated first imaging data at the Nyquist rate;
calculating a reconstruction coefficient for at least a portion of the identified segment using the sampled first imaging data;
sampling the identified segment of the generated second imaging data at less than the Nyquist rate;
predicting a value for a missing k-space sample in the identified segment using the calculated reconstruction coefficient and the sampled second imaging data; and
defining an image of the image area using the predicted value and the sampled second imaging data; and
a processor operably coupled to the computer-readable medium and configured to execute the instructions.
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Abstract
A method of performing parallel image reconstruction of undersampled image data in k-space. A defined partitioning of a k-space region into a plurality of segments is received. A segment of the plurality of segments is identified wherein data is sampled at less than a Nyquist rate. First imaging data is sampled at the Nyquist rate. A reconstruction coefficient is calculated for at least a portion of the identified segment using the sampled first imaging data. Second imaging data is sampled at less than the Nyquist rate. A value for a missing k-space sample in the identified segment is predicted using the calculated reconstruction coefficient and the sampled second imaging data. An image of the image area is defined using the predicted value and the received second dataset.
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Citations
20 Claims
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1. A system for performing parallel image reconstruction of undersampled image data in k-space, the system comprising:
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an imaging apparatus configured to generate first imaging data of an image area and to generate second imaging data of the image area; a computer-readable medium having computer-readable instructions therein, the instructions comprising receiving a defined partitioning of a k-space region into a plurality of segments; identifying a segment of the plurality of segments wherein data is sampled at less than a Nyquist rate; sampling the generated first imaging data at the Nyquist rate; calculating a reconstruction coefficient for at least a portion of the identified segment using the sampled first imaging data; sampling the identified segment of the generated second imaging data at less than the Nyquist rate; predicting a value for a missing k-space sample in the identified segment using the calculated reconstruction coefficient and the sampled second imaging data; and defining an image of the image area using the predicted value and the sampled second imaging data; and a processor operably coupled to the computer-readable medium and configured to execute the instructions.
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2. A non-transitory computer-readable medium having computer-readable instructions therein that, upon execution by a processor, cause the processor to perform parallel image reconstruction of undersampled image data in k-space, the instructions comprising:
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receiving a defined partitioning of a k-space region into a plurality of segments; identifying a segment of the plurality of segments wherein data is sampled at less than a Nyquist rate; sampling the first imaging data at the Nyquist rate; calculating a reconstruction coefficient for at least a portion of the identified segment using the sampled first imaging data; sampling the identified segment of the second imaging data at less than the Nyquist rate; predicting a value for a missing k-space sample in the identified segment using the calculated reconstruction coefficient and the sampled second imaging data; and defining an image of the image area using the predicted value and the received second dataset. - View Dependent Claims (4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20)
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3. A method of performing parallel image reconstruction of undersampled image data in k-space, the method comprising:
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(a) receiving, at a computing device, a defined partitioning of a k-space region into a plurality of segments; (b) identifying, by the computing device, a segment of the plurality of segments wherein data is sampled at less than a Nyquist rate; (c) sampling, by the computing device, the first imaging data at the Nyquist rate; (d) calculating, by the computing device, a reconstruction coefficient for at least a portion of the identified segment using the sampled first imaging data; (e) sampling, by the computing device, the identified segment of the second imaging data at less than the Nyquist rate; (f) predicting, by the computing device, a value for a missing k-space sample in the identified segment using the calculated reconstruction coefficient and the sampled second imaging data; and (g) defining, by the computing device, an image of the image area using the predicted k-space value and the received second dataset.
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Specification