The Radon Transform and Medical Imaging

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.