عنوان

Introduction to the mathematics of medical imaging /

(Number (ISBN

089871642X

(Number (ISBN

9780898716429

Number

b509998

Title Proper

Introduction to the mathematics of medical imaging /

General Material Designation

[Book]

First Statement of Responsibility

Charles L. Epstein

Edition Statement

2nd ed

Place of Publication, Distribution, etc.

Philadelphia, PA :

Name of Publisher, Distributor, etc.

Society for Industrial and Applied Mathematics,

Date of Publication, Distribution, etc.

c2008

Specific Material Designation and Extent of Item

xxxiii, 761 pages :

Other Physical Details

illustrations ;

Dimensions

26 cm

Text of Note

Includes bibliographical references (pages 743-751) and index

Text of Note

"At the heart of every medical imaging technology is a sophisticated mathematical model of the measurement process and an algorithm to reconstruct an image from the measured data. This book provides a firm foundation in the mathematical tools used to model the measurements and derive the reconstruction algorithms used in most imaging modalities in current use. In the process, it also covers many important analytic concepts, as well as techniques used in Fourier analysis, integral equations, sampling theory, and noise analysis." "This text uses X-ray computed tomography as a "pedagogical machine" to illustrate important ideas and incorporates extensive discussions of background material making the more advanced mathematical topics accessible to readers with a less formal mathematical education. The mathematical concepts are illuminated with over 200 illustrations and numerous exercises." "New to the second edition are a chapter on magnetic resonance imaging (MRI), a revised section on the relationship between the continuum and discrete Fourier transforms, a new section on Grangreat's formula, an improved description of the gridding method, and a new section on noise analysis in MRI." "The book is appropriate for one- or two-semester courses at the advanced undergraduate or beginning graduate level on the mathematical foundations of modern medical imaging technologies. The text assumes an understanding of calculus, linear algebra, and basic mathematical analysis."--Jacket

Diagnostic imaging-- Mathematics

Imaging systems in medicine-- Mathematics

Medical physics-- Mathematics

Epstein, Charles L

Date of Transaction

20160219023829.0

Electronic name

[Book]

Y