The mathematics of medical imaging: a beginner’s guide
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2015]
|
| Ausgabe: | Second edition |
| Schriftenreihe: | Springer undergraduate texts in mathematics and technology
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FAB01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online Ressource (XIV, 197 Seiten, 38 illus) |
| ISBN: | 9783319226651 9783319226644 |
| ISSN: | 1867-5506 |
| DOI: | 10.1007/978-3-319-22665-1 |
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Datensatz im Suchindex
| _version_ | 1804175709717921792 |
|---|---|
| adam_text | THE MATHEMATICS OF MEDICAL IMAGING
/ FEEMAN, TIMOTHY G.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE TO SECOND EDITION.-PREFACE
1. X-RAYS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE MATHEMATICS OF MEDICAL IMAGING
/ FEEMAN, TIMOTHY G.
: 2015
ABSTRACT / INHALTSTEXT
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 X-RAY IMAGING,
KACMARZ’S METHOD AND LEAST SQUARES APPROXIMATION, SPECTRAL
FILTERING, AND MORE.COPIOUS EXAMPLES AND EXERCISES, SEVERAL 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 T
O A REAL-WORLD PROBLEM. …THIS 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 “ALL
THEORETICAL MATERIAL IS ILLUSTRATED WITH CAREFULLY SELECTED EXAMPLES
WHICH ARE EASY TO FOLLOW. …I HIGHLY RECOMMEND THIS INTERESTING,
ACCESSIBLE TO WIDE AUDIENCE AND WELL-WRITTEN BOOK DEALING WITH
MATHEMATICAL TECHNIQUES THAT SUPPORT RECENT GROUND-BREAKING DISCOVERIES
IN BIOMEDICAL TECHNOLOGY BOTH TO STUDENTS…AND TO SPECIALISTS.”
–ZENTRALBLATT MATH, VOL. 1191, 2010
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
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| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-22665-1 |
| edition | Second edition |
| format | Electronic eBook |
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| id | DE-604.BV043209930 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:20:36Z |
| institution | BVB |
| isbn | 9783319226651 9783319226644 |
| issn | 1867-5506 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028633091 |
| oclc_num | 932040231 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-20 DE-739 DE-634 DE-861 DE-1043 DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-20 DE-739 DE-634 DE-861 DE-1043 DE-83 |
| physical | 1 Online Ressource (XIV, 197 Seiten, 38 illus) |
| psigel | ZDB-2-SMA ZDB-30-PQE UBY_PDA_SMA ZDB-2-SMA_2015 |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer undergraduate texts in mathematics and technology |
| spelling | Feeman, Timothy G. 1956- Verfasser (DE-588)173633978 aut The mathematics of medical imaging a beginner’s guide Timothy G. Feeman Second edition Cham Springer [2015] 1 Online Ressource (XIV, 197 Seiten, 38 illus) txt rdacontent c rdamedia cr rdacarrier Springer undergraduate texts in mathematics and technology 1867-5506 Mathematics Radiology Computer science / Mathematics Computer graphics Functional analysis Integral transforms Operational calculus Biomedical engineering Functional Analysis Imaging / Radiology Computer Imaging, Vision, Pattern Recognition and Graphics Biomedical Engineering Integral Transforms, Operational Calculus Math Applications in Computer Science Informatik Mathematik Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Medizin (DE-588)4038243-6 gnd rswk-swf Computertomografie (DE-588)4113240-3 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Bildgebendes Verfahren (DE-588)4006617-4 gnd rswk-swf Bildgebendes Verfahren (DE-588)4006617-4 s Mathematisches Modell (DE-588)4114528-8 s Medizin (DE-588)4038243-6 s 1\p DE-604 Computertomografie (DE-588)4113240-3 s Mathematische Methode (DE-588)4155620-3 s 2\p DE-604 https://doi.org/10.1007/978-3-319-22665-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028633091&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028633091&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Feeman, Timothy G. 1956- The mathematics of medical imaging a beginner’s guide Mathematics Radiology Computer science / Mathematics Computer graphics Functional analysis Integral transforms Operational calculus Biomedical engineering Functional Analysis Imaging / Radiology Computer Imaging, Vision, Pattern Recognition and Graphics Biomedical Engineering Integral Transforms, Operational Calculus Math Applications in Computer Science Informatik Mathematik Mathematische Methode (DE-588)4155620-3 gnd Medizin (DE-588)4038243-6 gnd Computertomografie (DE-588)4113240-3 gnd Mathematisches Modell (DE-588)4114528-8 gnd Bildgebendes Verfahren (DE-588)4006617-4 gnd |
| subject_GND | (DE-588)4155620-3 (DE-588)4038243-6 (DE-588)4113240-3 (DE-588)4114528-8 (DE-588)4006617-4 |
| title | The mathematics of medical imaging a beginner’s guide |
| title_auth | The mathematics of medical imaging a beginner’s guide |
| title_exact_search | The mathematics of medical imaging a beginner’s guide |
| title_full | The mathematics of medical imaging a beginner’s guide Timothy G. Feeman |
| title_fullStr | The mathematics of medical imaging a beginner’s guide Timothy G. Feeman |
| title_full_unstemmed | The mathematics of medical imaging a beginner’s guide Timothy G. Feeman |
| title_short | The mathematics of medical imaging |
| title_sort | the mathematics of medical imaging a beginner s guide |
| title_sub | a beginner’s guide |
| topic | Mathematics Radiology Computer science / Mathematics Computer graphics Functional analysis Integral transforms Operational calculus Biomedical engineering Functional Analysis Imaging / Radiology Computer Imaging, Vision, Pattern Recognition and Graphics Biomedical Engineering Integral Transforms, Operational Calculus Math Applications in Computer Science Informatik Mathematik Mathematische Methode (DE-588)4155620-3 gnd Medizin (DE-588)4038243-6 gnd Computertomografie (DE-588)4113240-3 gnd Mathematisches Modell (DE-588)4114528-8 gnd Bildgebendes Verfahren (DE-588)4006617-4 gnd |
| topic_facet | Mathematics Radiology Computer science / Mathematics Computer graphics Functional analysis Integral transforms Operational calculus Biomedical engineering Functional Analysis Imaging / Radiology Computer Imaging, Vision, Pattern Recognition and Graphics Biomedical Engineering Integral Transforms, Operational Calculus Math Applications in Computer Science Informatik Mathematik Mathematische Methode Medizin Computertomografie Mathematisches Modell Bildgebendes Verfahren |
| url | https://doi.org/10.1007/978-3-319-22665-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028633091&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028633091&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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