The Radon Transform and Medical Imaging

Peter Kuchment (Autor)

Buch | Softcover

256 Seiten

2013
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-1-61197-328-0 (ISBN)

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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.

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.

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).

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.

Reihe/Serie	CBMS-NSF Regional Conference Series in Applied Mathematics
Verlagsort	New York
Sprache	englisch
Maße	152 x 229 mm
Gewicht	439 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Medizinische Fachgebiete ► Radiologie / Bildgebende Verfahren ► Computertomographie
ISBN-10	1-61197-328-7 / 1611973287
ISBN-13	978-1-61197-328-0 / 9781611973280
Zustand	Neuware