By Peter Kuchment
This booklet surveys the most mathematical rules and strategies at the back of a few well-established imaging modalities akin to X-ray CT and emission tomography, in addition to numerous newly constructing coupled-physics or hybrid strategies, together with thermoacoustic tomography.
The Radon rework and clinical Imaging emphasizes mathematical thoughts and ideas coming up around the spectrum of scientific imaging modalities and explains very important ideas touching on inversion, balance, incomplete info results, the function of inside info, and different matters severe to all clinical imaging methods.
For nonexperts, the writer presents appendices that hide heritage details on notation, Fourier research, geometric rays, and linear operators. The great bibliography, with over 825 entries, directs readers to a wide range of extra info resources on scientific imaging for extra study.
Audience: Graduate scholars and researchers in arithmetic, physics, and engineering who're attracted to the maths at the back of clinical imaging will locate this ebook useful.
Contents: half I: advent; bankruptcy 1: Why Use arithmetic in clinical Imaging?; bankruptcy 2: a quick and Incomplete background of CT; bankruptcy three: a few significant CT Modalities and Their positive aspects to observe for; bankruptcy four: association of the ebook; half II: conventional Computed Tomography concepts and crucial Geometry; bankruptcy five: ordinary CT and X-ray and Radon Transforms; bankruptcy 6: Emission Tomography; bankruptcy 7: Artifacts, Incomplete info, Miocrolocal research, and Such; bankruptcy eight: extra approximately 3D Radon and X-ray Transforms; bankruptcy nine: a quick evaluate of Numerical tools; bankruptcy 10: MRI, EIT, OT, Elastography, UT; half III: Hybrid (Coupled Physics) Imaging thoughts; bankruptcy eleven: Thermo-, Photo-, and Optoacoustic Tomography (TAT/PAT/OAT); bankruptcy 12: Ultrasound Modulation in EIT and OT; bankruptcy thirteen: Inverse issues of inside details; half IV: Appendices; Appendix A: Notation; Appendix B: short Notes at the Fourier rework and Harmonic research; Appendix C: Geometric Rays, Trapping, power Decay; Appendix D: a few sessions of Linear Operators and Operator Functions.
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