Contact us on (02) 8445 2300
For all customer service and order enquiries

Woodslane Online Catalogues

9781611973280 Academic Inspection Copy

The Radon Transform and Medical Imaging

Description
Author
Biography
Table of
Contents
Google
Preview
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.
Google Preview content