Introduction to the mathematics of medical imaging
著者
書誌事項
Introduction to the mathematics of medical imaging
Pearson Education, c2003
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注記
Includes bibliographical references (p. 725-731) and index
内容説明・目次
内容説明
For advanced undergraduate courses in the mathematics of medical imaging.
The goal of this text is to prepare students to read and understand the research literature in the mathematical aspects of medical imaging connected to measurement and image reconstruction including data collection, signal processing and noise analysis. The text should be suitable for self study by a motivated student with a solid mathematical background.
目次
1. Measurements and Modeling.
2. Linear Models and Linear Equations.
3. A Basic Model for Tomography.
4. Introduction to the Fourier Transform.
5. Convolution.
6. The Radon Transform.
7. Introduction to Fourier Series.
8. Sampling.
9. Filters.
10. Implementing Shift Invariant Filters.
11. Reconstruction in x-ray Tomography.
12. Imaging Artifacts in x-ray Tomography.
13. Algebraic Reconstruction Techniques.
14. Probability and Random Variables.
15. Applications of Probability in Medical Imaging.
16. Random Processes.
Appendix A. Background Material.
Appendix B. Basic Analysis.
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