10.2

Computed Tomography

R.M. Leahy,     University of Southern California

R. Clackdoyle,     CNRS, France

1 Introduction

2 Background

2.1 X-ray Computed Tomography

2.2 Nuclear Imaging Using PET and SPECT

2.3 Mathematic Preliminaries

2.4 Examples

3 2D Image Reconstruction

3.1 Fourier Space and Filtered Backprojection Methods for Parallel-Beam Projections

3.2 Fan-Beam Filtered Backprojection

4 Extending 2D Methods into 3D

4.1 Extracting 2D Data from 3D

4.2 Spiral CT

4.3 Rebinning Methods in 3D PET

5 3D Image Reconstruction

5.1 Fully 3D Reconstruction with Missing Data

5.2 Cone-Beam Tomography

6 Iterative Reconstruction Methods

6.1 Finite Dimensional Formulations and ART

6.2 Statistical Formulations

6.3 Maximum Likelihood Methods ...

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