Molecular Imaging in Nano MRI /

• Κύριος συγγραφέας: Ting, Michael (Software engineer)
• Μορφή: Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London, U.K. : ISTE ; 2014.; Hoboken, N.J. : Wiley, 2014.
• Σειρά: Focus nanoscience and nanotechnology series.
• Θέματα: Magnetic resonance imaging > Computer programs.; Nanoscience.; Nuclear magnetic resonance > Computer programs.; TECHNOLOGY & ENGINEERING > Engineering (General); TECHNOLOGY & ENGINEERING > Reference.; Electronic books.

The authors describe a technique that can visualize the atomic structure of molecules, it is necessary, in terms of the image processing, to consider the reconstruction of sparse images. Many works have leveraged the assumption of sparsity in order to achieve an improved performance that would not o...

Πίνακας περιεχομένων:

• Cover; Title page; Contents; Introduction; Chapter 1. Nano MRI; Chapter 2. Sparse Image Reconstruction; 2.1. Introduction; 2.2. Problem formulation; 2.3. Validity of the observation model in MRFM; 2.4. Literature review; 2.4.1. Sparse denoising; 2.4.2. Variable selection; 2.4.3. Compressed sensing; 2.5. Reconstruction performance criteria; Chapter 3. Iterative Thresholding Methods; 3.1. Introduction; 3.2. Separation of deconvolution and denoising; 3.2.1. Gaussian noise statistics; 3.2.2. Poisson noise statistics.
• 3.3. Choice of sparse denoising operator in the case of Gaussian noise statistics3.3.1. Comparison to the projected gradient method; 3.4. Hyperparameter selection; 3.5. MAP estimators using the LAZE image prior; 3.5.1. MAP1; 3.5.2. MAP2; 3.5.3. Comparison of MAP1 versus MAP2; 3.6. Simulation example; 3.7. Future directions; Chapter 4. Hyperparameter Selection Using the SURE Criterion; 4.1. Introduction; 4.2. SURE for the lasso estimator; 4.3. SURE for the hybrid estimator; 4.4. Computational considerations; 4.5. Comparison with other criteria; 4.6. Simulation example.