Magnetic Resonance Image restoration

We introduce a novel technique for Magnetic Resonance Image (MRI) restoration, using a physical model (spin equation) and corresponding basis images. We determine the basis images (proton density and nuclear relaxation times) from the MRI data and use them to obtain excellent restorations.Magnetic Resonance Images depend nonlinearly on proton density,ρ, two nuclear relaxation times,T1 andT2, and two control parameters, TE and TR. We model images a Markov random fields and introduce two maximuma posteriori (MAP) restorations; quadratic smoothing and a nonlinear technique. We also introduce a novel method of global optimization necessary for the nonlinear technique.

[1]  P. Pfannenstiel,et al.  Errors in T1-determination using multislice technique and Gaussian slice profiles. , 1988, Magnetic resonance imaging.

[2]  S. J. Riederer,et al.  High-Speed Techniques for Estimating T1, T2, and Density Images , 1987, IEEE Transactions on Medical Imaging.

[3]  L Kaufman,et al.  Analytical tools for magnetic resonance imaging. , 1984, Radiology.

[4]  Wesley E. Snyder,et al.  Mean field annealing: a formalism for constructing GNC-like algorithms , 1992, IEEE Trans. Neural Networks.

[5]  A Macovski,et al.  Noise reduction in magnetic resonance imaging , 1988, Magnetic resonance in medicine.

[6]  G. Bilbro,et al.  Mean-field approximation minimizes relative entropy , 1991 .

[7]  Donald Geman,et al.  Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[8]  J N Lee,et al.  Synthesized MR images: comparison with acquired images. , 1985, Radiology.

[9]  J N Lee,et al.  Cerebral magnetic resonance image synthesis. , 1985, AJNR. American journal of neuroradiology.

[10]  J N Lee,et al.  Pulse sequence extrapolation with MR image synthesis. , 1986, Radiology.

[11]  Andrew Blake,et al.  Visual Reconstruction , 1987, Deep Learning for EEG-Based Brain–Computer Interfaces.

[12]  J. B. Kneeland,et al.  Effect of intersection spacing on MR image contrast and study time. , 1986, Radiology.

[13]  J N Lee,et al.  Instrumentation for rapid MR image synthesis , 1986, Magnetic resonance in medicine.

[14]  J R MacFall,et al.  Contrast and accuracy of relaxation time measurements in acquired and synthesized multislice magnetic resonance images. , 1989, Investigative radiology.

[15]  H C Charles,et al.  Reproducibility of relaxation and spin‐density parameters in phantoms and the human brain measured by MR imaging at 1.5T , 1986, Magnetic resonance in medicine.

[16]  C T Chen,et al.  Bayesian image processing in magnetic resonance imaging. , 1991, Magnetic resonance imaging.

[17]  Fred Godtliebsen.  Noise reduction using markov random fields , 1991 .

[18]  A. Oppelt,et al.  A new pulse sequence for determining T1 and T2 simultaneously. , 1986, Medical physics.

[19]  J. Koenig,et al.  Calculation of T1, T2, and proton spin density images in nuclear magnetic resonance imaging , 1989 .

[20]  J N Lee,et al.  Optimum acquisition times of two spin echoes for MR image synthesis , 1986, Magnetic resonance in medicine.

[21]  Guido Gerig,et al.  Nonlinear anisotropic filtering of MRI data , 1992, IEEE Trans. Medical Imaging.

[22]  C N de Graaf,et al.  Precision in calculated rho, T1 and T2 images as a function of data analysis method. , 1988, Magnetic resonance imaging.