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).

• PrefacePart I: Chapter 1: IntroductionPart II: Traditional Tomographic Techniques and Integral GeometryChapter 2: Tomography and Radon TransformChapter 3: Emission TomographyChapter 4: Microlocal AnalysisChapter 5: More About 3D Radon and X-Ray Transforms Chapter 6: Numerical MethodsChapter 7: Various Other ModalitiesPart III: Hybrid ImagingChapter 8: ThermoacousticsChapter 9: Ultrasound ModulationChapter 10:Hybrid MiscellanyChapter 11: Inverse Problems and Internal InformationPart IV: AppendicesAppendix A: NotationsAppendix B: Fourier AnalysisAppendix C: Geometric Rays, Trapping, Energy DecayAppendix D: Fredholm Operator FunctionsAppendix E: Books and Survey RecommendationsBibliographyIndex.