The Radon Transform and Medical Imaging
Published on 30. December 2013
Book
Paperback/Softback
256 pages
978-1-61197-328-0 (ISBN)
Description
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.
Explains important concepts concerning inversion, stability, incomplete data effects, the role of interior information, and other issues critical to all medical imaging methods.
The Radon Transform and Medical Imaging:
Emphasizes mathematical techniques and ideas arising across the spectrum of medical imaging modalities.
Explains important concepts concerning inversion, stability, incomplete data effects, the role of interior information, and other issues critical to all medical imaging methods.
More details
Series
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 247 mm
Width: 174 mm
Thickness: 12 mm
Weight
431 gr
ISBN-13
978-1-61197-328-0 (9781611973280)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Peter Kuchment is a Distinguished Professor in the Mathematics Department of Texas A&M University. He is a Fellow of both the American Mathematical Society and the Institute of Physics. His work is focused in the areas of mathematical physics, partial differential equations, spectral theory, medical imaging, and the enhancement of K-12 education in mathematics. He has authored more than 150 publications, including the books Floquet Theory for Partial Differential Equations (1993) and Introduction to Quantum Graphs (with G. Berkolaiko, 2013).
Content
Preface
Part I: Chapter 1: Introduction
Part II: Traditional Tomographic Techniques and Integral Geometry
Chapter 2: Tomography and Radon Transform
Chapter 3: Emission Tomography
Chapter 4: Microlocal Analysis
Chapter 5: More About 3D Radon and X-Ray Transforms
Chapter 6: Numerical Methods
Chapter 7: Various Other Modalities
Part III: Hybrid Imaging
Chapter 8: Thermoacoustics
Chapter 9: Ultrasound Modulation
Chapter 10:Hybrid Miscellany
Chapter 11: Inverse Problems and Internal Information
Part IV: Appendices
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
Bibliography
Index.
Part I: Chapter 1: Introduction
Part II: Traditional Tomographic Techniques and Integral Geometry
Chapter 2: Tomography and Radon Transform
Chapter 3: Emission Tomography
Chapter 4: Microlocal Analysis
Chapter 5: More About 3D Radon and X-Ray Transforms
Chapter 6: Numerical Methods
Chapter 7: Various Other Modalities
Part III: Hybrid Imaging
Chapter 8: Thermoacoustics
Chapter 9: Ultrasound Modulation
Chapter 10:Hybrid Miscellany
Chapter 11: Inverse Problems and Internal Information
Part IV: Appendices
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
Bibliography
Index.