Ting, Michael (Software engineer) creator text bibliography Electronic books. nju London, U.K Hoboken, N.J ISTE Wiley 2014 monographic eng

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1 online resource (x, 77 pages). 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 otherwise be possible. For nano MRI, the assumption of sparsity is given by default since, at the atomic scale, molecules aresparse structures. This work reviews the latest results on molecular imaging for nano MRI. Sparse image reconstruction methods can be categorized as either non-B. 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. Michael Ting. Includes bibliographical references and index. Magnetic resonance imaging Computer programs Nanoscience Nuclear magnetic resonance Computer programs Magnetic resonance imaging Computer programs Nanoscience Nuclear magnetic resonance Computer programs TECHNOLOGY & ENGINEERING Engineering (General) TECHNOLOGY & ENGINEERING Reference T174.7 620.5 Ting, Michael. London, U.K : ISTE ; Hoboken, N.J. : Wiley, 2014 (OCoLC)859185634 9781118760932 111876093X 9781118760895 1118760891 9781118760949 1118760948 http://onlinelibrary.wiley.com/book/10.1002/9781118760949 http://onlinelibrary.wiley.com/book/10.1002/9781118760949 EBLCP 140301 20171031095653.0 ocn871224295 eng