Bayesian Estimation of MR Images from Incomplete Raw Data

Marseille, G.J.; Beer, R. de; Fuderer, Miha; Mehlkopf, A.F.; Ormondt, D. van

doi:10.1007/978-94-009-0107-0_2

Cited by 5 publications

(13 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…3. Note that fied by a number defined as (2,13) details of the five best distributions differ considerably. This will be discussed later on.…”

Section: Figmentioning

confidence: 99%

“…We emphasize that the k y distributions thus obtained phase-encode values (k y ), aimed at reduction of Cartesian need not be considered as random or stochastic sampling. MRI scan times (1,2). More precisely, it shows that a good Rather, a complete set of 10 26 distributions is represented by nonuniform k y distribution need not be limited to a set of a reduced, arbitrarily chosen set of one thousand.…”

mentioning

confidence: 99%

“…However, since nonuni-data on omitted k y values. The prior knowledge we use conform scanning can be combined with one-sided scanning sists of (1) low intensity outside the perimeter of the object, (3,4), this 30% reduction actually amounts to about 58%. (2) low intensity in the imaginary part of the complex image Note that nonuniform k y distributions require interpolation after phase correction, and (3) the Lorentzian distribution to retrieve the missing data.…”

mentioning

confidence: 99%

“…(2) low intensity in the imaginary part of the complex image Note that nonuniform k y distributions require interpolation after phase correction, and (3) the Lorentzian distribution to retrieve the missing data. Uniform truncated k y distribu-of edge intensities inside the object (2,13,14). Measured tions, on the other hand, require extrapolation (5)(6)(7)(8).…”

mentioning

confidence: 99%

“…They utilize only some qualitative proping image quality, using a single real-world scan and a erties like smooth regions with sharp changes. We have Bayesian reconstruction method (9). Subsequently, the qual-chosen a sigma filter (6) and a Gaussian filter.…”

mentioning

confidence: 99%

See 4 more Smart Citations

Nonuniform Phase-Encode Distributions for MRI Scan Time Reduction

Marseille

Fuderer

et al. 1996

Journal of Magnetic Resonance, Series B

Self Cite

View full text Add to dashboard Cite

“…3. Note that fied by a number defined as (2,13) details of the five best distributions differ considerably. This will be discussed later on.…”

Section: Figmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Nonuniform Phase-Encode Distributions for MRI Scan Time Reduction

Marseille

Fuderer

et al. 1996

Journal of Magnetic Resonance, Series B

Self Cite

View full text Add to dashboard Cite

Mutual-information based optimal experimental design for hyperpolarized $$^{13}$$C-pyruvate MRI

Jha,

Walker,

Mitchell

et al. 2023

Sci Rep

View full text Add to dashboard Cite

A key parameter of interest recovered from hyperpolarized (HP) MRI measurements is the apparent pyruvate-to-lactate exchange rate, $$k_{{\textrm PL}}$$ k P L , for measuring tumor metabolism. This manuscript presents an information-theory-based optimal experimental design approach that minimizes the uncertainty in the rate parameter, $$k_{{\textrm PL}}$$ k P L , recovered from HP-MRI measurements. Mutual information is employed to measure the information content of the HP measurements with respect to the first-order exchange kinetics of the pyruvate conversion to lactate. Flip angles of the pulse sequence acquisition are optimized with respect to the mutual information. A time-varying flip angle scheme leads to a higher parameter optimization that can further improve the quantitative value of mutual information over a constant flip angle scheme. However, the constant flip angle scheme, 35 and 28 degrees for pyruvate and lactate measurements, leads to an accuracy and precision comparable to the variable flip angle schemes obtained from our method. Combining the comparable performance and practical implementation, optimized pyruvate and lactate flip angles of 35 and 28 degrees, respectively, are recommended.

show abstract

Accelerated magnetic resonance thermometry in the presence of uncertainties

Madankan¹,

Stefan²,

Fahrenholtz³

et al. 2016

Phys. Med. Biol.

View full text Add to dashboard Cite

A model-based information theoretic approach is presented to perform the task of magnetic resonance (MR) thermal image reconstruction from a limited number of observed samples on k-space. The key idea of the proposed approach is to optimally detect samples of k-space that are information-rich with respect to a model of the thermal data acquisition. These highly informative k-space samples can then be used to refine the mathematical model and efficiently reconstruct the image. The information theoretic reconstruction was demonstrated retrospectively in data acquired during MR-guided laser induced thermal therapy (MRgLITT) procedures. The approach demonstrates that locations with high-information content with respect to a model-based reconstruction of MR thermometry may be quantitatively identified. These information-rich k-space locations are demonstrated to be useful as a guide for k-space undersampling techniques. The effect of interactively increasing the predicted number of data points used in the subsampled model-based reconstruction was quantified using the L2-norm of the distance between the subsampled and fully sampled reconstruction. Performance of the proposed approach was also compared with uniform rectilinear subsampling and variable-density Poisson disk subsampling techniques. The proposed subsampling scheme resulted in accurate reconstructions using a small fraction of k-space points, suggesting that the reconstruction technique may be useful in improving the efficiency of thermometry data temporal resolution.

show abstract

Bayesian Estimation of MR Images from Incomplete Raw Data

Cited by 5 publications

References 7 publications

Nonuniform Phase-Encode Distributions for MRI Scan Time Reduction

Nonuniform Phase-Encode Distributions for MRI Scan Time Reduction

Mutual-information based optimal experimental design for hyperpolarized $$^{13}$$C-pyruvate MRI

Accelerated magnetic resonance thermometry in the presence of uncertainties

Contact Info

Product

Resources

About