Medical image reconstruction: a conceptual tutorial
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Heidelberg [u.a.]
Springer
2010
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 198 S. Ill., graph. Darst. |
| ISBN: | 9783642053672 9787040204377 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV036117275 | ||
| 003 | DE-604 | ||
| 005 | 20100715 | ||
| 007 | t | ||
| 008 | 100412s2010 gw ad|| |||| 00||| eng d | ||
| 015 | |a 09,N42,0894 |2 dnb | ||
| 016 | 7 | |a 997112751 |2 DE-101 | |
| 020 | |a 9783642053672 |c GB. : ca. EUR 106.95 (freier Pr.), ca. sfr 155.50 (freier Pr.) |9 978-3-642-05367-2 | ||
| 020 | |a 9787040204377 |9 978-7-04-020437-7 | ||
| 024 | 3 | |a 9783642053672 | |
| 028 | 5 | 2 | |a 12733422 |
| 035 | |a (OCoLC)462920169 | ||
| 035 | |a (DE-599)DNB997112751 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE-BE | ||
| 049 | |a DE-29T |a DE-92 | ||
| 050 | 0 | |a R857.O6 | |
| 082 | 0 | |a 616.0754 |2 22 | |
| 084 | |a YR 2200 |0 (DE-625)154091:12905 |2 rvk | ||
| 084 | |a 620 |2 sdnb | ||
| 100 | 1 | |a Zeng, Gengsheng Lawrence |e Verfasser |0 (DE-588)140930612 |4 aut | |
| 245 | 1 | 0 | |a Medical image reconstruction |b a conceptual tutorial |c Gengsheng Lawrence Zeng |
| 264 | 1 | |a Heidelberg [u.a.] |b Springer |c 2010 | |
| 300 | |a XIII, 198 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Image reconstruction | |
| 650 | 4 | |a Imaging systems in medicine | |
| 650 | 4 | |a Tomography | |
| 650 | 0 | 7 | |a Tomografie |0 (DE-588)4078351-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Bildrekonstruktion |0 (DE-588)4145435-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Tomografie |0 (DE-588)4078351-0 |D s |
| 689 | 0 | 1 | |a Bildrekonstruktion |0 (DE-588)4145435-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019007350&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-019007350 | ||
Record in the Search Index
| _version_ | 1804141221353881600 |
|---|---|
| adam_text | CONTENTS 1 BASIC PRINCIPLES OF TOMOGRAPHY 1 1.1 TOMOGRAPHY 1 1.2
PROJECTION 3 1.3 IMAGE RECONSTRUCTION 6 1.4 BACKPROJECTION 8 *1.5
MATHEMATICAL EXPRESSIONS 10 1.5.1 PROJECTION 10 1.5.2 BACKPROJECTION 11
1.5.3 THE DIRAC -FUNCTION 12 1.6 WORKED EXAMPLES 14 1.7 SUMMARY 17
PROBLEMS 18 REFERENCES 19 2 PARALLEL-BEAM IMAGE RECONSTRUCTION 21 2.1
FOURIER TRANSFORM 21 2.2 CENTRAL SLICE THEOREM 22 2.3 RECONSTRUCTION
ALGORITHMS 25 2.3.1 METHOD 1 25 2.3.2 METHOD 2 26 2.3.3 METHOD 3- * * 27
2.3.4 METHOD 4 28 * THE FIRST TIME READER CAN SKIP THE MORE CHALLENGING
MATERIALS MARKED BY THE * SIGN WITHOUT INTERRUPTING THE FLOW OF THIS
BOOK. BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/997112751
DIGITALISIERT DURCH REFERENCES 65 X CONTENTS 2.3.5 METHOD 5 28 2.4 A
COMPUTER SIMULATION 30 *2.5 ROI RECONSTRUCTION WITH TRUNCATED
PROJECTIONS 31 *2.6 MATHEMATICAL EXPRESSIONS 36 2.6.1 THE FOURIER
TRANSFORM AND CONVOLUTION 36 2.6.2 THE HUBERT TRANSFORM AND THE FINITE
HUBERT TRANSFORM 36 2.6.3 PROOF OF THE CENTRAL SLICE THEOREM 39 2.6.4
DERIVATION OF THE FILTERED BACKPROJECTION ALGORITHM 40 2.6.5 EXPRESSION
OF THE CONVOLUTION BACKPROJECTION ALGORITHM 41 2.6.6 EXPRESSION OF THE
RADON INVERSION FORMULA 41 2.6.7 DERIVATION OF THE
BACKPROJECTION-THEN-FILTERING ALGORITHM 41 2.7 WORKED EXAMPLES 42 2.8
SUMMARY 45 PROBLEMS 46 REFERENCES 46 3 FAN-BEAM IMAGE RECONSTRUCTION 49
3.1 FAN-BEAM GEOMETRY AND POINT SPREAD FUNCTION 49 3.2 PARALLEL-BEAM TO
FAN-BEAM ALGORITHM CONVERSION 52 3.3 SHORT SCAN 54 *3.4 MATHEMATICAL
EXPRESSIONS 56 3.4.1 DERIVATION OF A FILTERED BACKPROJECTION FAN-BEAM
ALGORITHM 57 3.4.2 A FAN-BEAM ALGORITHM USING THE DERIVATIVE AND THE
HILBERT TRANSFORM 58 3.5 WORKED EXAMPLES 60 3.6 SUMMARY 63 PROBLEMS 64
5.5 WORKED EXAMPLES 117 CONTENTS XI 4 TRANSMISSION AND EMISSION
TOMOGRAPHY 67 4.1 X-RAY COMPUTED TOMOGRAPHY 67 4.2 POSITRON EMISSION
TOMOGRAPHY AND SINGLE PHOTON EMISSION COMPUTED TOMOGRAPHY 71 4.3
ATTENUATION CORRECTION FOR EMISSION TOMOGRAPHY 75 *4.4 MATHEMATICAL
EXPRESSIONS 79 4.5 WORKED EXAMPLES 81 4.6 SUMMARY 83 PROBLEMS 83
REFERENCES 84 5 3D IMAGE RECONSTRUCTION 87 5.1 PARALLEL LINE-INTEGRAL
DATA 87 5.1.1 BACKPROJECTION-THEN-FILTERING 90 5.1.2 FILTERED
BACKPROJECTION 91 5.2 PARALLEL PLANE-INTEGRAL DATA 92 5.3 CONE-BEAM DATA
94 5.3.1 FELDKAMP S ALGORITHM 95 5.3.2 GRANGEAT S ALGORITHM 96 5.3.3
KATSEVICH S ALGORITHM 97 *5.4 MATHEMATICAL EXPRESSIONS 101 5.4.1
BACKPROJECTION-THEN-FILTERING FOR PARALLEL LINE-INTEGRAL DATA 102 5.4.2
FILTERED BACKPROJECTION ALGORITHM FOR PARALLEL LINE-INTEGRAL DATA 103
5.4.3 3D RADON INVERSION FORMULA 104 5.4.4 3D
BACKPROJECTION-THEN-FILTERING ALGORITHM FOR RADON DATA 104 5.4.5
FELDKAMP S ALGORITHM 105 5.4.6 TUY S RELATIONSHIP 106 5.4.7 GRANGEAT S
RELATIONSHIP 108 5.4.8 KATSEVICH S ALGORITHM ILL REFERENCES 170 :
CONTENTS 5.6 SUMMARY 119 PROBLEMS 120 REFERENCES 121 ITERATIVE
RECONSTRUCTION 125 6.1 SOLVING A SYSTEM OF LINEAR EQUATIONS 125 6.2
ALGEBRAIC RECONSTRUCTION TECHNIQUE 130 6.3 GRADIENT DESCENT ALGORITHMS
131 6.4 MAXIMUM-LIKELIHOOD EXPECTATION-MAXIMIZATION ALGORITHMS 134 6.5
ORDERED-SUBSET EXPECTATION-MAXIMIZATION ALGORITHM 135 6.6 NOISE HANDLING
136 6.6.1 ANALYTICAL METHODS*WINDOWING 136 6.6.2 ITERATIVE METHODS
*STOPPING EARLY 137 6.6.3 ITERATIVE METHODS * CHOOSING PIXELS 138 6.6.4
ITERATIVE METHODS * ACCURATE MODELING 140 6.7 NOISE MODELING AS A
LIKELIHOOD FUNCTION 141 6.8 INCLUDING PRIOR KNOWLEDGE 143 *6.9
MATHEMATICAL EXPRESSIONS 145 6.9.1 ART 145 6.9.2 CONJUGATE GRADIENT
ALGORITHM 146 6.9.3 ML-EM 148 6.9.4 OS-EM 151 6.9.5 GREEN S ONE-STEP
LATE ALGORITHM 151 6.9.6 MATCHED AND UNMATCHED PROJECTOR/BACKPROJECTOR
PAIRS 151 *6.10 RECONSTRUCTION USING HIGHLY UNDERSAMPLED DATA WITH IQ
MINIMIZATION 153 6.11 WORKED EXAMPLES 156 6.12 SUMMARY 167 PROBLEMS *
168 INDEX 193 CONTENTS XIII 7 MRI RECONSTRUCTION 175 7.1 THE M 175 7.2
THE R 177 7.3 THE I 180 7.3.1 TO OBTAIN Z-INFORMATION*SLICE
SELECTION 180 7.3.2 TO OBTAIN ^-INFORMATION*FREQUENCY ENCODING 182 7.3.3
TO OBTAIN Y-INFORMATION*PHASE ENCODING 183 *7.4 MATHEMATICAL EXPRESSIONS
185 7.5 WORKED EXAMPLES 188 7.6 SUMMARY 190 PROBLEMS 191 REFERENCES 192
|
| any_adam_object | 1 |
| author | Zeng, Gengsheng Lawrence |
| author_GND | (DE-588)140930612 |
| author_facet | Zeng, Gengsheng Lawrence |
| author_role | aut |
| author_sort | Zeng, Gengsheng Lawrence |
| author_variant | g l z gl glz |
| building | Verbundindex |
| bvnumber | BV036117275 |
| callnumber-first | R - Medicine |
| callnumber-label | R857 |
| callnumber-raw | R857.O6 |
| callnumber-search | R857.O6 |
| callnumber-sort | R 3857 O6 |
| callnumber-subject | R - General Medicine |
| classification_rvk | YR 2200 |
| ctrlnum | (OCoLC)462920169 (DE-599)DNB997112751 |
| dewey-full | 616.0754 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 616 - Diseases |
| dewey-raw | 616.0754 |
| dewey-search | 616.0754 |
| dewey-sort | 3616.0754 |
| dewey-tens | 610 - Medicine and health |
| discipline | Maschinenbau / Maschinenwesen Medizin |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01789nam a2200481 c 4500</leader><controlfield tag="001">BV036117275</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20100715 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">100412s2010 gw ad|| |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">09,N42,0894</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">997112751</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642053672</subfield><subfield code="c">GB. : ca. EUR 106.95 (freier Pr.), ca. sfr 155.50 (freier Pr.)</subfield><subfield code="9">978-3-642-05367-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9787040204377</subfield><subfield code="9">978-7-04-020437-7</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783642053672</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">12733422</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)462920169</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB997112751</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-BE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-29T</subfield><subfield code="a">DE-92</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">R857.O6</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">616.0754</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">YR 2200</subfield><subfield code="0">(DE-625)154091:12905</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">620</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zeng, Gengsheng Lawrence</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)140930612</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Medical image reconstruction</subfield><subfield code="b">a conceptual tutorial</subfield><subfield code="c">Gengsheng Lawrence Zeng</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Heidelberg [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2010</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIII, 198 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Image reconstruction</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Imaging systems in medicine</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Tomography</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Tomografie</subfield><subfield code="0">(DE-588)4078351-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Bildrekonstruktion</subfield><subfield code="0">(DE-588)4145435-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Tomografie</subfield><subfield code="0">(DE-588)4078351-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Bildrekonstruktion</subfield><subfield code="0">(DE-588)4145435-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019007350&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-019007350</subfield></datafield></record></collection> |
| id | DE-604.BV036117275 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:12:25Z |
| institution | BVB |
| isbn | 9783642053672 9787040204377 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019007350 |
| oclc_num | 462920169 |
| open_access_boolean | |
| owner | DE-29T DE-92 |
| owner_facet | DE-29T DE-92 |
| physical | XIII, 198 S. Ill., graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| spelling | Zeng, Gengsheng Lawrence Verfasser (DE-588)140930612 aut Medical image reconstruction a conceptual tutorial Gengsheng Lawrence Zeng Heidelberg [u.a.] Springer 2010 XIII, 198 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Image reconstruction Imaging systems in medicine Tomography Tomografie (DE-588)4078351-0 gnd rswk-swf Bildrekonstruktion (DE-588)4145435-2 gnd rswk-swf Tomografie (DE-588)4078351-0 s Bildrekonstruktion (DE-588)4145435-2 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019007350&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zeng, Gengsheng Lawrence Medical image reconstruction a conceptual tutorial Image reconstruction Imaging systems in medicine Tomography Tomografie (DE-588)4078351-0 gnd Bildrekonstruktion (DE-588)4145435-2 gnd |
| subject_GND | (DE-588)4078351-0 (DE-588)4145435-2 |
| title | Medical image reconstruction a conceptual tutorial |
| title_auth | Medical image reconstruction a conceptual tutorial |
| title_exact_search | Medical image reconstruction a conceptual tutorial |
| title_full | Medical image reconstruction a conceptual tutorial Gengsheng Lawrence Zeng |
| title_fullStr | Medical image reconstruction a conceptual tutorial Gengsheng Lawrence Zeng |
| title_full_unstemmed | Medical image reconstruction a conceptual tutorial Gengsheng Lawrence Zeng |
| title_short | Medical image reconstruction |
| title_sort | medical image reconstruction a conceptual tutorial |
| title_sub | a conceptual tutorial |
| topic | Image reconstruction Imaging systems in medicine Tomography Tomografie (DE-588)4078351-0 gnd Bildrekonstruktion (DE-588)4145435-2 gnd |
| topic_facet | Image reconstruction Imaging systems in medicine Tomography Tomografie Bildrekonstruktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019007350&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT zenggengshenglawrence medicalimagereconstructionaconceptualtutorial |