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Respiratory Motion
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Journal: Journal of Cardiovascular Magnetic Resonance
Article Title: Multipoint 5D flow cardiovascular magnetic resonance - accelerated cardiac- and respiratory-motion resolved mapping of mean and turbulent velocities
doi: 10.1186/s12968-019-0549-0
Figure Lengend Snippet: Image reconstruction using locally low rank approach followed by Bayesian multipoint unfolding. a ) A locally low-rank approach is employed for each velocity encoding separately. The locally low-rank model divides the image into 3-dimensional patches. Each patch is reordered into local Casorati matrices for which a low rank is enforced by penalizing the nuclear norm. Compared to a global Casorati matrix, the values of the singular values decrease more rapidly. b ) Following reconstruction of the individual velocity encodings, for each Cartesian direction the different velocity encodings k v are combined using a Bayesian multipoint approach. A Bayesian probability model provides posterior probabilities for mean velocity v and intra-voxel standard deviation σ given the measured signal S . v and σ are chosen such that the posterior probability is maximized, providing maps of turbulent kinetic energy (TKE) and mean velocities
Article Snippet:
Techniques: Standard Deviation
Journal: Journal of Cardiovascular Magnetic Resonance
Article Title: Multipoint 5D flow cardiovascular magnetic resonance - accelerated cardiac- and respiratory-motion resolved mapping of mean and turbulent velocities
doi: 10.1186/s12968-019-0549-0
Figure Lengend Snippet: Image reconstruction using locally low rank approach followed by Bayesian multipoint unfolding. a ) A locally low-rank approach is employed for each velocity encoding separately. The locally low-rank model divides the image into 3-dimensional patches. Each patch is reordered into local Casorati matrices for which a low rank is enforced by penalizing the nuclear norm. Compared to a global Casorati matrix, the values of the singular values decrease more rapidly. b ) Following reconstruction of the individual velocity encodings, for each Cartesian direction the different velocity encodings k v are combined using a Bayesian multipoint approach. A Bayesian probability model provides posterior probabilities for mean velocity v and intra-voxel standard deviation σ given the measured signal S . v and σ are chosen such that the posterior probability is maximized, providing maps of turbulent kinetic energy (TKE) and mean velocities
Article Snippet: In this work, a
Techniques: Standard Deviation
Journal: Journal of Cardiovascular Magnetic Resonance
Article Title: Multipoint 5D flow cardiovascular magnetic resonance - accelerated cardiac- and respiratory-motion resolved mapping of mean and turbulent velocities
doi: 10.1186/s12968-019-0549-0
Figure Lengend Snippet: Image reconstruction using locally low rank approach followed by Bayesian multipoint unfolding. a ) A locally low-rank approach is employed for each velocity encoding separately. The locally low-rank model divides the image into 3-dimensional patches. Each patch is reordered into local Casorati matrices for which a low rank is enforced by penalizing the nuclear norm. Compared to a global Casorati matrix, the values of the singular values decrease more rapidly. b ) Following reconstruction of the individual velocity encodings, for each Cartesian direction the different velocity encodings k v are combined using a Bayesian multipoint approach. A Bayesian probability model provides posterior probabilities for mean velocity v and intra-voxel standard deviation σ given the measured signal S . v and σ are chosen such that the posterior probability is maximized, providing maps of turbulent kinetic energy (TKE) and mean velocities
Article Snippet:
Techniques: Standard Deviation