The Mathematics of Medical Imaging

A Beginner’s Guide

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Health & Well Being, Medical, Medical Science, Biochemistry
Cover of the book The Mathematics of Medical Imaging by Timothy G. Feeman, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Timothy G. Feeman ISBN: 9783319226651
Publisher: Springer International Publishing Publication: November 19, 2015
Imprint: Springer Language: English
Author: Timothy G. Feeman
ISBN: 9783319226651
Publisher: Springer International Publishing
Publication: November 19, 2015
Imprint: Springer
Language: English

The basic mathematics of computerized tomography, the CT scan, are aptly presented for an audience of undergraduates in mathematics and engineering. Assuming no prior background in advanced mathematical analysis, topics such as the Fourier transform, sampling, and discrete approximation algorithms are introduced from scratch and are developed within the context of medical imaging. A chapter on magnetic resonance imaging focuses on manipulation of the Bloch equation, the system of differential equations that is the foundation of this important technology.

Extending the ideas of the acclaimed first edition, new material has been adeed to render an even more accessible textbook for course usage. This edition includes new discussions of the Radon transform, the Dirac delta function and its role in X-ray imaging, Kacmarz’s method and least squares approximation, spectral filtering, and more. Copious examples and exercises, new computer-based exercises, and additional graphics have been added to further delineate concepts. The use of technology has been revamped throughout with the incorporation of the open source programming environment R to illustrate examples and composition of graphics. All R code is available as extra source material on SpringerLink.

From the reviews of the first edition:

“This book is valuable, for it addresses with care and rigor the relevance of a variety of mathematical topics to a real-world problem. …T

his book is well written. It serves its purpose of focusing a variety of mathematical topics onto a real-world application that is in its essence mathematics.”
The Journal of Nuclear Medicine, Vol. 51 (12), December, 2010

“This new book by Timothy Feeman, truly intended to be a beginner’s guide, makes the subject accessible to undergraduates with a working knowledge of multivariable calculus and some experience with vectors and matrix methods. …author handles the material with clarity and grace…”
The Mathematical Association of America, February, 2010 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The basic mathematics of computerized tomography, the CT scan, are aptly presented for an audience of undergraduates in mathematics and engineering. Assuming no prior background in advanced mathematical analysis, topics such as the Fourier transform, sampling, and discrete approximation algorithms are introduced from scratch and are developed within the context of medical imaging. A chapter on magnetic resonance imaging focuses on manipulation of the Bloch equation, the system of differential equations that is the foundation of this important technology.

Extending the ideas of the acclaimed first edition, new material has been adeed to render an even more accessible textbook for course usage. This edition includes new discussions of the Radon transform, the Dirac delta function and its role in X-ray imaging, Kacmarz’s method and least squares approximation, spectral filtering, and more. Copious examples and exercises, new computer-based exercises, and additional graphics have been added to further delineate concepts. The use of technology has been revamped throughout with the incorporation of the open source programming environment R to illustrate examples and composition of graphics. All R code is available as extra source material on SpringerLink.

From the reviews of the first edition:

“This book is valuable, for it addresses with care and rigor the relevance of a variety of mathematical topics to a real-world problem. …T

his book is well written. It serves its purpose of focusing a variety of mathematical topics onto a real-world application that is in its essence mathematics.”
The Journal of Nuclear Medicine, Vol. 51 (12), December, 2010

“This new book by Timothy Feeman, truly intended to be a beginner’s guide, makes the subject accessible to undergraduates with a working knowledge of multivariable calculus and some experience with vectors and matrix methods. …author handles the material with clarity and grace…”
The Mathematical Association of America, February, 2010 

More books from Springer International Publishing

Cover of the book The American Health Care System by Timothy G. Feeman
Cover of the book OpenMP: Heterogenous Execution and Data Movements by Timothy G. Feeman
Cover of the book Proceedings of the 11th European Conference on Thermoelectrics by Timothy G. Feeman
Cover of the book Surgery During Natural Disasters, Combat, Terrorist Attacks, and Crisis Situations by Timothy G. Feeman
Cover of the book Theory and Practice of Model Transformations by Timothy G. Feeman
Cover of the book Diffused Religion by Timothy G. Feeman
Cover of the book Heritage Stone Conservation in Urban Churchyards by Timothy G. Feeman
Cover of the book Modeling and Stochastic Learning for Forecasting in High Dimensions by Timothy G. Feeman
Cover of the book Proteomic Methods in Neuropsychiatric Research by Timothy G. Feeman
Cover of the book Stars, Myths and Rituals in Etruscan Rome by Timothy G. Feeman
Cover of the book Agricultural Cooperative Management and Policy by Timothy G. Feeman
Cover of the book Solid-Liquid Separation in the Mining Industry by Timothy G. Feeman
Cover of the book Multilingual Hong Kong: Languages, Literacies and Identities by Timothy G. Feeman
Cover of the book Temporal Points of View by Timothy G. Feeman
Cover of the book Spell of the Urubamba by Timothy G. Feeman
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy