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The radon transform, inverse problems, and tomography : American Mathematical Society short course, January 3-4, 2005, Atlanta, Georgia / Gestur Ólafsson, Eric Todd Quinto, editors.
- Format:
- Book
- Series:
- Proceedings of symposia in applied mathematics ; Volume 63.
- Proceedings of Symposia in Applied Mathematics ; Volume 63
- Language:
- English
- Subjects (All):
- Radon transforms--Congresses.
- Radon transforms.
- Imaging systems in medicine--Congresses.
- Imaging systems in medicine.
- Inverse problems (Differential equations)--Congresses.
- Inverse problems (Differential equations).
- Integral transforms--Congresses.
- Integral transforms.
- Sampling (Statistics)--Congresses.
- Sampling (Statistics).
- Wavelets (Mathematics)--Congresses.
- Wavelets (Mathematics).
- Physical Description:
- 1 online resource (173 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, 2006.
- Language Note:
- English
- Summary:
- Since their emergence in 1917, tomography and inverse problems remain active and important fields that combine pure and applied mathematics and provide strong interplay between diverse mathematical problems and applications. The applied side is best known for medical and scientific use, in particular, medical imaging, radiotherapy, and industrial non-destructive testing. Doctors use tomography to see the internal structure of the body or to find functional information, such asmetabolic processes, noninvasively. Scientists discover defects in objects, the topography of the ocean floor, and geological information using X-rays, geophysical measurements, sonar, or other data. This volume, based on the lectures in the Short Course The Radon Transform and Applications to InverseProblems at the American Mathematical Society meeting in Atlanta, GA, January 3-4, 2005, brings together articles on mathematical aspects of tomography and related inverse problems. The articles cover introductory material, theoretical problems, and practical issues in 3-D tomography, impedance imaging, local tomography, wavelet methods, regularization and approximate inverse, sampling, and emission tomography. All contributions are written for a general audience, and the authors have includedreferences for further reading.
- Contents:
- ""Contents""; ""Preface""; ""An Introduction to X-ray Tomography and Radon Transforms""; ""Development of Algorithms in Computerized Tomography""; ""Fan-Beam Tomography and Sampling Theory""; ""Generalized Transforms of Radon Type and Their Applications""; ""Inverse Problems in Pipeline Inspection""; ""Robust Interferometric Imaging in Random Media""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""X""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references at the end of each chapters and index.
- Description based on print version record.
- ISBN:
- 0-8218-9278-9
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