Introduction to Inverse Problems in Imaging

Ön Kapak
CRC Press, 30 Ağu 2020 - 364 sayfa
This is a graduate textbook on the principles of linear inverse problems, methods of their approximate solution, and practical application in imaging. The level of mathematical treatment is kept as low as possible to make the book suitable for a wide range of readers from different backgrounds in science and engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, probability theory, and Fourier analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and exercises throughout, the book will provide the reader with the appropriate background 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.
 

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İçindekiler

Some mathematical tools
19
Examples of image blurring
50
The illposedness of image deconvolution
75
Regularization methods
98
Iterative regularization methods
137
Statistical methods
168
Examples of linear inverse problems
191
Singular value decomposition SVD
220
Fourierbased methods for specific problems
268
Comments and concluding remarks
295
A Euclidean and Hilbert spaces of functions
311
B Linear operators in function spaces
317
Properties of the DFT and the FFT algorithm
328
E Minimization of quadratic functionals
335
G The EM method
343
Telif Hakkı

Inversion methods revisited
247

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Yazar hakkında (2020)

M. Bertero and P. Boccacci

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