Introduction to Mathematics of the Medical Imaging
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Author(s): C. L. Epstein
Publisher: SIAM
ISBN: 9780898716429
Format: softback
761pp
Price: $99.00
Review Date: 03 March 2008
Review: X-ray tomography, ultrasound, positron emission tomography and magnetic resonance imaging have fundamentally altered the practice of medicine and mathematics has played a huge role in their development. This undergraduate textbook provides a tookit, with detailed operating instructions, to work on problems that arise in medical imaging. The book starts with the idea of using a mathematical model as a tool to extract the physical state of the system from feasible measurements and introduces the Radon, Abel, Hilbert and Fourier transforms. It goes on to look at Fourier series, sampling and filtering theory. Mathematical tools are then applied to the problem of image reconstruction in x-ray tomography. The last two chapters deal with algebraic reconstruction techniques and noise in the filtered back-projection algorithm.