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Introduction to Inverse Problems in Imaging

Introduction to Inverse Problems in Imaging

 
Kiadás sorszáma: 2, New edition
Kiadó: CRC Press
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A termék adatai:
ISBN13:9780367470050
ISBN10:0367470055
Kötéstípus:Keménykötés
Terjedelem:358 oldal
Méret:254x178 mm
Súly:840 g
Nyelv:angol
Illusztrációk: 111 Illustrations, black & white; 9 Illustrations, color; 47 Halftones, black & white; 73 Line drawings, black & white; 4 Tables, black & white
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Rövid leírás:

Fully updated throughout, with several new chapters, this second edition of Introduction to Inverse Problems in Imaging guides advanced undergraduate and graduate students in physics, computer science, mathematics and engineering through the principles of linear inverse problems.

Hosszú leírás:

Fully updated throughout and with several new chapters, this second edition of Introduction to Inverse Problems in Imaging guides advanced undergraduate and graduate students in physics, computer science, mathematics and engineering through the principles of linear inverse problems, in addition to methods of their approximate solution and their practical applications in imaging.


This second edition contains new chapters on edge-preserving and sparsity-enforcing regularization in addition to maximum likelihood methods and Bayesian regularization for Poisson data.


The level of mathematical treatment is kept as low as possible to make the book suitable for a wide range of students from different backgrounds, with readers needing just a rudimentary understanding of analysis, geometry, linear algebra, probability theory, and Fourier analysis.


The authors concentrate on presenting easily implementable and fast solution algorithms, and this second edition is accompanied by numerical examples throughout. It will provide readers with the appropriate background needed for a clear understanding of the essence of inverse problems (ill-posedness and its cure) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems.


Key features:




  • Provides an accessible introduction to the topic while keeping mathematics to a minimum



  • Interdisciplinary topic with growing relevance and wide-ranging applications



  • Accompanied by numerical examples throughout


 

Tartalomjegyzék:

1. Introduction. 2. Examples of image blurring. 3. The ill-posedness of image deconvolution. 4. Quadratic tikhonov regularization. 5. Iterative regularization methods. 6. Examples of linear inverse problems. 7. Singular value decomposition (SVD). 8. Inversion methods revisited. 9. Edge-preserving regularization. 10. Sparsity-enforcing regularization.  11. Statistical approaches to linear inverse problems 12. Statistical methods in the case of additive Gaussian noise 13. Statistical methods in the case of Poisson data  14. Conclusions