Handbook of Image and Video Processing, 2nd Edition

3.6

Regularization in Image Restoration and Reconstruction

W.Clem Karl,     Boston University

1 Introduction.

1.1 Image Restoration and Reconstruction Problems

1.2 Least-Squares and Generalized Solutions

1.3 The Need for Regularization

2 Direct Regularization Methods.

2.1 Truncated SVD Regularization

2.2 Tikhonov Regularization

2.3 Non-Quadratic Regularization

2.4 Statistical Methods

2.5 Parametric Methods

3 Iterative Regularization Methods.

4 Regularization Parameter Choice.

4.1 Visual Inspection

4.2 The Discrepancy Principle

4.3 The L-Curve

4.4 Generalized Cross-Validation

4.5 Statistical Approaches

5 Summary.

References.

1 Introduction

This chapter focuses on the need for and use of regularization methods in the solution of ...