Radon Transform and Medical Imaging

Häftad, Engelska, 2013

1 399 kr

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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.

Produktinformation

Utgivningsdatum2013-12-30
Mått152 x 229 x 12 mm
Vikt439 g
FormatHäftad
SpråkEngelska
SerieCBMS-NSF Regional Conference Series in Applied Mathematics
Antal sidor256
FörlagSociety for Industrial & Applied Mathematics,U.S.
ISBN9781611973280

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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.