The Mathematics of Medical Imaging A Beginner’s Guide /

• Main Author: Feeman, Timothy G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Springer Undergraduate Texts in Mathematics and Technology,
• Subjects: Mathematics.; Radiology.; Computer science > Mathematics.; Computer graphics.; Functional analysis.; Integral transforms.; Operational calculus.; Biomedical engineering.; Functional Analysis.; Imaging / Radiology.; Integral Transforms, Operational Calculus.; Math Applications in Computer Science.; Computer Imaging, Vision, Pattern Recognition and Graphics.; Biomedical Engineering.

A Beginner's Guide to the Mathematics of Medical Imaging presents the basic mathematics of computerized tomography – the CT scan – for an audience of undergraduates in mathematics and engineering. Assuming no prior background in advanced mathematical analysis, topics such as the Fourier transfo...

Table of Contents:

• X-rays
• The Radon Transform
• Back Projection
• Complex Numbers
• The Fourier Transform
• Two Big Theorems
• Filters and Convolution
• Discrete Image Reconstruction
• Algebraic Reconstruction Techniques
• MRI#x2014;An Overview.