Borrow it
 African Studies Library
 Alumni Medical Library
 Astronomy Library
 Fineman and Pappas Law Libraries
 Frederick S. Pardee Management Library
 Howard Gotlieb Archival Research Center
 Mugar Memorial Library
 Music Library
 Pikering Educational Resources Library
 School of Theology Library
 Science & Engineering Library
 Stone Science Library
The Resource The Mathematics of Medical Imaging : A Beginner’s Guide, by Timothy G. Feeman, (electronic resource)
The Mathematics of Medical Imaging : A Beginner’s Guide, by Timothy G. Feeman, (electronic resource)
Resource Information
The item The Mathematics of Medical Imaging : A Beginner’s Guide, by Timothy G. Feeman, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item The Mathematics of Medical Imaging : A Beginner’s Guide, by Timothy G. Feeman, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 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 added 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 Xray imaging, Kacmarz’s method and least squares approximation, spectral filtering, and more. Copious examples and exercises, several new computerbased 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 t o a realworld problem. ...This book is well written. It serves its purpose of focusing a variety of mathematical topics onto a realworld 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 “All theoretical material is illustrated with carefully selected examples which are easy to follow. ...I highly recommend this interesting, accessible to wide audience and wellwritten book dealing with mathematical techniques that support recent groundbreaking discoveries in biomedical technology both to students...and to specialists.” –Zentralblatt MATH, Vol. 1191, 2010
 Language
 eng
 Edition
 2nd ed. 2015.
 Extent
 XIV, 197 p. 38 illus.
 Contents

 Preface to Second Edition.Preface
 1. Xrays
 2. The Radon Transform
 3. Back Projection
 4. Complex Numbers
 5. The Fourier Transform
 6. Two Big Theorems
 7. Filters and Convolution
 8. Discrete Image Reconstruction
 9. Algebraic Reconstruction Techniques
 10. MRI—An Overview.Appendix A. Integrability
 Appendix B. Matrices, Transposes, and Factorization
 Appendix C.Topics for Further Study
 Bibliography
 Index
 Isbn
 9783319226651
 Label
 The Mathematics of Medical Imaging : A Beginner’s Guide
 Title
 The Mathematics of Medical Imaging
 Title remainder
 A Beginner’s Guide
 Statement of responsibility
 by Timothy G. Feeman
 Subject

 Computer Imaging, Vision, Pattern Recognition and Graphics
 Integral transforms
 Computer graphics
 Functional analysis
 Math Applications in Computer Science
 Biomedical engineering
 Biomedical Engineering
 Imaging / Radiology
 Operational calculus
 Radiology
 Operational calculus
 Functional Analysis
 Computer science  Mathematics
 Integral transforms
 Electronic resources
 Functional Analysis
 Mathematics
 Radiology
 Computer graphics
 Biomedical engineering
 Biomedical Engineering
 Computer science  Mathematics
 Mathematics
 Integral Transforms, Operational Calculus
 Biomedical Engineering
 Functional analysis
 Biomedical engineering
 Language
 eng
 Summary
 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 added 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 Xray imaging, Kacmarz’s method and least squares approximation, spectral filtering, and more. Copious examples and exercises, several new computerbased 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 t o a realworld problem. ...This book is well written. It serves its purpose of focusing a variety of mathematical topics onto a realworld 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 “All theoretical material is illustrated with carefully selected examples which are easy to follow. ...I highly recommend this interesting, accessible to wide audience and wellwritten book dealing with mathematical techniques that support recent groundbreaking discoveries in biomedical technology both to students...and to specialists.” –Zentralblatt MATH, Vol. 1191, 2010
 http://library.link/vocab/creatorName
 Feeman, Timothy G
 Image bit depth
 0
 LC call number
 QA319329.9
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Springer Undergraduate Texts in Mathematics and Technology,
 http://library.link/vocab/subjectName

 Mathematics
 Radiology
 Computer science
 Computer graphics
 Functional analysis
 Integral transforms
 Operational calculus
 Biomedical engineering
 Mathematics
 Functional Analysis
 Imaging / Radiology
 Computer Imaging, Vision, Pattern Recognition and Graphics
 Biomedical Engineering
 Integral Transforms, Operational Calculus
 Math Applications in Computer Science
 Label
 The Mathematics of Medical Imaging : A Beginner’s Guide, by Timothy G. Feeman, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Preface to Second Edition.Preface  1. Xrays  2. The Radon Transform  3. Back Projection  4. Complex Numbers  5. The Fourier Transform  6. Two Big Theorems  7. Filters and Convolution  8. Discrete Image Reconstruction  9. Algebraic Reconstruction Techniques  10. MRI—An Overview.Appendix A. Integrability  Appendix B. Matrices, Transposes, and Factorization  Appendix C.Topics for Further Study  Bibliography  Index
 Dimensions
 unknown
 Edition
 2nd ed. 2015.
 Extent
 XIV, 197 p. 38 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319226651
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319226651
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319226651
 Label
 The Mathematics of Medical Imaging : A Beginner’s Guide, by Timothy G. Feeman, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Preface to Second Edition.Preface  1. Xrays  2. The Radon Transform  3. Back Projection  4. Complex Numbers  5. The Fourier Transform  6. Two Big Theorems  7. Filters and Convolution  8. Discrete Image Reconstruction  9. Algebraic Reconstruction Techniques  10. MRI—An Overview.Appendix A. Integrability  Appendix B. Matrices, Transposes, and Factorization  Appendix C.Topics for Further Study  Bibliography  Index
 Dimensions
 unknown
 Edition
 2nd ed. 2015.
 Extent
 XIV, 197 p. 38 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319226651
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319226651
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319226651
Subject
 Biomedical Engineering
 Biomedical Engineering
 Biomedical Engineering
 Biomedical engineering
 Biomedical engineering
 Biomedical engineering
 Computer Imaging, Vision, Pattern Recognition and Graphics
 Computer graphics
 Computer graphics
 Computer science  Mathematics
 Computer science  Mathematics
 Electronic resources
 Functional Analysis
 Functional Analysis
 Functional analysis
 Functional analysis
 Imaging / Radiology
 Integral Transforms, Operational Calculus
 Integral transforms
 Integral transforms
 Math Applications in Computer Science
 Mathematics
 Mathematics
 Operational calculus
 Operational calculus
 Radiology
 Radiology
Member of
Library Locations

African Studies LibraryBorrow it771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US42.350723 71.108227


Astronomy LibraryBorrow it725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US42.350259 71.105717

Fineman and Pappas Law LibrariesBorrow it765 Commonwealth Avenue, Boston, MA, 02215, US42.350979 71.107023

Frederick S. Pardee Management LibraryBorrow it595 Commonwealth Avenue, Boston, MA, 02215, US42.349626 71.099547

Howard Gotlieb Archival Research CenterBorrow it771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US42.350723 71.108227


Music LibraryBorrow it771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350723 71.108227

Pikering Educational Resources LibraryBorrow it2 Silber Way, Boston, MA, 02215, US42.349804 71.101425

School of Theology LibraryBorrow it745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350494 71.107235

Science & Engineering LibraryBorrow it38 Cummington Mall, Boston, MA, 02215, US42.348472 71.102257

Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/TheMathematicsofMedicalImagingABeginner%E2%80%99s/T0Fk0AZ9keI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/TheMathematicsofMedicalImagingABeginner%E2%80%99s/T0Fk0AZ9keI/">The Mathematics of Medical Imaging : A Beginner’s Guide, by Timothy G. Feeman, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item The Mathematics of Medical Imaging : A Beginner’s Guide, by Timothy G. Feeman, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/TheMathematicsofMedicalImagingABeginner%E2%80%99s/T0Fk0AZ9keI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/TheMathematicsofMedicalImagingABeginner%E2%80%99s/T0Fk0AZ9keI/">The Mathematics of Medical Imaging : A Beginner’s Guide, by Timothy G. Feeman, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>