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The radon transform and medical imaging / Peter Kuchment.
- Format:
- Book
- Author/Creator:
- Kuchment, Peter, 1949- author.
- Series:
- CBMS-NSF regional conference series in applied mathematics ; 85.
- CBMS-NSF regional conference series in applied mathematics ; 85
- Language:
- English
- Subjects (All):
- Radon transforms.
- Tomography--Mathematics.
- Tomography.
- Imaging systems in medicine.
- Tomography--methods--Lectures.
- Mathematics--Lectures.
- Radon--Lectures.
- Medical Subjects:
- Tomography--methods--Lectures.
- Mathematics--Lectures.
- Radon--Lectures.
- Physical Description:
- 1 PDF (xvi, 244 pages).
- Place of Publication:
- Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2014.
- Language Note:
- English
- System Details:
- Mode of access: World Wide Web.
- System requirements: Adobe Acrobat Reader.
- Summary:
- This book surveys the main mathematical ideas and techniques behind some well-established imaging modalities such as X-ray CT and emission tomography, as well as a variety of newly developing coupled-physics or hybrid techniques, including thermoacoustic tomography. The Radon Transform and Medical Imaging emphasizes mathematical techniques and ideas arising across the spectrum of medical imaging modalities and explains important concepts concerning inversion, stability, incomplete data effects, the role of interior information, and other issues critical to all medical imaging methods. For nonexperts, the author provides appendices that cover background information on notation, Fourier analysis, geometric rays, and linear operators. The vast bibliography, with over 825 entries, directs readers to a wide array of additional information sources on medical imaging for further study.
- Contents:
- Introduction
- Tomography and radon transform
- Emission tomography
- Microlocal analysis
- More about 3D radon and X-ray transforms
- Numerical methods
- Various other modalities
- Thermoacoustics
- Ultrasound modulation
- Hybrid miscellany
- Inverse problems and internal information
- Appendix A. Notations
- Appendix B. Fourier analysis
- Appendix C. Geometric rays, trapping, energy decay
- Appendix D. Fredholm operator functions
- Appendix E. Books and survey recommendations.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Includes bibliographical references and index.
- Title from title screen, viewed 11/14/2013.
- ISBN:
- 9781611973297
- 1611973287
- OCLC:
- 863863324
- Publisher Number:
- CB85 SIAM
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