●Preface
●1 Inverse Problems and Interpretation of Measurements
● 1.1 Introductory Examples
● 1.2 Inverse Crimes
●2 Classical Regularization Methods
● 2.1 Introduction: Fredholm Equation
● 2.2 Truncated Singular Value Decomposition
● 2.3 Tikhonov Regularization
● 2.3.1 Generalizations of the Tikhonov Regularization
● 2.4 Regularization by Truncated Iterative Methods
● 2.4.1 Landweber-Fridman Iteration
● 2.4.2 Kaczmarz Iteration and ART
● 2.4.3 Krylov Subspace Methods
● 2.5 Notes and Comments
●3 Statistical Inversion Theory
● 3.1 Inverse Problems and Bayes' Formula
● 3.1.1 Estimators
● 3.2 Construction of the Likelihood Function
● 3.2.1 Additive Noise
● 3.2.2 Other Explicit Noise Models
●部分目錄