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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 University of Oklahoma 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 University of Oklahoma 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
 eng
 Edition
 2nd ed. 2015.
 Extent
 1 online resource (XIV, 197 p. 38 illus.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 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
 Computer science—Mathematics
 Functional Analysis
 Functional analysis
 Imaging / Radiology
 Integral Transforms, Operational Calculus
 Integral transforms
 Math Applications in Computer Science
 Operational calculus
 Optical data processing
 Radiology
 Biomedical Engineering and Bioengineering
 Biomedical engineering
 Language

 eng
 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
 Dewey number
 515.7
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 RBkFXS3ehg
 Image bit depth
 0
 Language note
 English
 LC call number
 QA319329.9
 Literary form
 non fiction
 Series statement
 Springer Undergraduate Texts in Mathematics and Technology,
 http://library.link/vocab/subjectName

 Functional analysis
 Radiology
 Optical data processing
 Biomedical engineering
 Integral transforms
 Operational calculus
 Computer science—Mathematics
 Functional Analysis
 Imaging / Radiology
 Computer Imaging, Vision, Pattern Recognition and Graphics
 Biomedical Engineering and Bioengineering
 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)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 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
 1 online resource (XIV, 197 p. 38 illus.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783319226651
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783319226651
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3710000000521699
 (SSID)ssj0001585295
 (PQKBManifestationID)16262903
 (PQKBTitleCode)TC0001585295
 (PQKBWorkID)14864052
 (PQKB)11737774
 (DEHe213)9783319226651
 (EXLCZ)993710000000521699
 Label
 The Mathematics of Medical Imaging : A Beginner’s Guide, by Timothy G. Feeman, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 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
 1 online resource (XIV, 197 p. 38 illus.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783319226651
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783319226651
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3710000000521699
 (SSID)ssj0001585295
 (PQKBManifestationID)16262903
 (PQKBTitleCode)TC0001585295
 (PQKBWorkID)14864052
 (PQKB)11737774
 (DEHe213)9783319226651
 (EXLCZ)993710000000521699
Subject
 Computer Imaging, Vision, Pattern Recognition and Graphics
 Computer science—Mathematics
 Functional Analysis
 Functional analysis
 Imaging / Radiology
 Integral Transforms, Operational Calculus
 Integral transforms
 Math Applications in Computer Science
 Operational calculus
 Optical data processing
 Radiology
 Biomedical Engineering and Bioengineering
 Biomedical engineering
Member of
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/TheMathematicsofMedicalImagingABeginner%E2%80%99s/ESXqxrMn_c/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/TheMathematicsofMedicalImagingABeginner%E2%80%99s/ESXqxrMn_c/">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.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>