Adaptive filtering for noise reduction in X-ray computed tomography:
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| Main Author: | |
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| Format: | Thesis Book |
| Language: | English |
| Published: |
Berlin
Logos
2010
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| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | IV, 170 S. Ill., graph. Darst. 21 cm |
| ISBN: | 9783832524135 |
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Record in the Search Index
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4.3.2 GRADIENT APPROXIMATION 41 CONTENTS 1 INTRODUCTION 1 1.1 MOTIVATION
1 1.2 RELATEDWORK 2 1.3 CONTRIBUTIONS 3 1.4 THESIS OUTLINE 4 2
PRINCIPLES OF COMPUTED TOMOGRAPHY 7 2.1 DEVELOPMENT OF COMPUTED
TOMOGRAPHY 7 2.2 2-D RECONSTRUCTION 9 2.2.1 DATA ACQUISITION MODEL 9
2.2.2 INDIRECT FAN-BEAM FILTERED BACKPROJECTION 11 2.3 3-D
RECONSTRUCTION 15 2.3.1 SCANNING GEOMETRY 15 2.3.2 WEIGHTED FILTERED
BACKPROJECTION 15 2.4 NOISE IN CT 16 2.4.1 NOISE OF SIGNALS AND
PROJECTIONS 16 2.4.2 NOISE AFTER RECONSTRUCTION 18 2.5 SPATIAL
RESOLUTION IN CT 19 2.5.1 AZIMUTHAL AND RADIAL RESOLUTION 20 2.5.2
MEASURING RESOLUTION IN IMAGES 20 3 WAVELETS IN IMAGE DENOISING 23 3.1
INTRODUCTION TO THE WAVELET REPRESENTATION 23 3.1.1 WAVELETS 24 3.1.2
CONTINUOUS AND DYADIC WAVELET TRANSFORMATION 25 3.2 DISCRETE WAVELET
TRANSFORMATION 25 3.3 MULTIRESOLUTION ANALYSIS 26 3.4 WAVELET BASED
NOISE REDUCTION IN IMAGES 27 3.4.1 WAVELET TRANSFORMATIONS IN HIGHER
DIMENSIONS 27 3.4.2 CHOICE OF WAVELET 30 4 ADAPTIVE WAVELET BASED NOISE
REDUCTION USING MULTIPLE CT RECONSTRUCTIONS 33 4.1 METHODOLOGY OVERVIEW
33 4.2 MULTIPLE CT-RECONSTRUCTIONS 35 4.3 CORRELATION ANALYSIS IN THE
WAVELET DOMAIN 38 4.3.1 CORRELATION COEFFICIENTS 39 BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/1000809714 DIGITALISIERT DURCH 4.3.3
WEIGHTING OF COEFFICIENTS 43 4.4 EXPERIMENTAL EVALUATION 44 4.4.1 NOISE
AND RESOLUTION 44 4.4.2 LOW-CONTRAST-DETECTABILITY 53 4.4.3 COMPARISON
WITH ADAPTIVE FILTERING OF PROJECTIONS 55 4.4.4 CLINICALLY ACQUIRED DATA
57 4.4.5 EXAMPLE IMAGES 60 4.5 CONCLUSIONS 62 NOISE ESTIMATION IN THE
WAVELET DOMAIN FOR ANISOTROPIE NOISE REDUCTION 65 5.1 METHODOLOGY
OVERVIEW 66 5.2 NOISE ESTIMATION FOR ADAPTIVE THRESHOLDING 66 5.2.1
NOISE ESTIMATION FROM DIFFERENCE IMAGE 66 5.2.2 ADAPTIVE THRESHOLDING 69
5.3 EXPERIMENTAL EVALUATION 70 5.3.1 ACCURACY OF NOISE ESTIMATES 71
5.3.2 NOISE AND RESOLUTION 76 5.3.3 EXAMPLE IMAGES 81 5.4 CONCLUSIONS 81
MULTIPLE CT-RECONSTRUCTIONS FOR 3-D ANISOTROPIE WAVELET DENOISING 85 6.1
METHODOLOGY OVERVIEW 85 6.2 3-D WAVELET TRANSFORMATION 87 6.3
ANISOTROPIE DENOISING USING CORRELATION ANALYSIS 87 6.3.1 CORRELATION
ANALYSIS 87 6.3.2 NOISE ESTIMATION 88 6.3.3 WEIGHTING OF DETAIL
COEFFICIENTS 88 6.4 EXPERIMENTAL EVALUATION 89 6.4.1 NOISE AND
RESOLUTION 89 6.4.2 EXAMPLE IMAGES 95 6.5 CONCLUSIONS 95 NOISE
PROPAGATION THROUGH INDIRECT FAN-BEAM FPB RECONSTRUCTION 99 7.1
METHODOLOGY OVERVIEW 101 7.2 NOISE PROPAGATION THROUGH INDIRECT FAN-BEAM
FBP RECONSTRUCTION . . . 103 7.2.1 REBINNING 103 7.2.2 CONVOLUTION 107
7.2.3 BACKPROJECTION 109 7.2. BIBLIOGRAPHY 165 8 ORIENTATION DEPENDENT
NOISE PROPAGATION FOR ADAPTIVE ANISOTROPIE FILTERING 123 8.1 METHODOLOGY
OVERVIEW 124 8.2 ORIENTATION DEPENDENT NOISE PROPAGATION 124 8.2.1
DIRECTION OF STRONGEST CORRELATION 126 8.2.2 ORTHOGONAL SEPARATION OF
NOISE VARIANCE 127 8.3 NOISE ADAPTIVE BILATERAL FILTERING 130 8.3.1
DOMAIN FILTERING 131 8.3.2 RANGE FILTERING 132 8.4 EXPERIMENTAL
EVALUATION 132 8.4.) NOISE AND RESOLUTION 133 8.4.2 EXAMPLE IMAGES 138
8.5 CONCLUSIONS 138 9 DISCUSSION 139 9.1 COMPARISON OF PROPOSED NOISE
REDUCTION METHODS 139 9.1.1 QUALITATIVE COMPARISON 140 9.1.2 NOISE AND
RESOLUTION 140 9.1.3 POTENTIAL FOR DOSE REDUCTION 144 9.1.4
COMPUTATIONAL PERFORMANCE 147 9.2 SUGGESTIONS FOR FUTURE RESEARCH 149
9.2.1 NOISE ANALYSIS METHODS 149 9.2.2 NOISE REDUCTION IN CT 150 10
SUMMARY AND CONCLUSIONS 151 A ACRONYMS 153 A.I CT RECONSTRUCTION 153 A.2
WAVELET TRANSFORMATION 153 A.3 DENOISING 154 A.4 NOISE PROPAGATION 154 B
NOTATION 155 B.I CT RECONSTRUCTION 155 B.2 WAVELET TRANSFORMATION 157
B.3 WAVELET DENOISING 158 B.4 NOISE PROPAGATION 159 B.5 NOISE-ADAPTIVE
BILATERAL FILTERING 159 LIST OF FIGURES 161 LIST OF TABLES 163 |
| any_adam_object | 1 |
| author | Borsdorf, Anja |
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| dewey-ones | 616 - Diseases |
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| dewey-search | 616.075722 |
| dewey-sort | 3616.075722 |
| dewey-tens | 610 - Medicine and health |
| discipline | Medizin |
| format | Thesis Book |
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| spelling | Borsdorf, Anja Verfasser aut Adaptive filtering for noise reduction in X-ray computed tomography Anja Borsdorf Berlin Logos 2010 IV, 170 S. Ill., graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Zugl.: Erlangen-Nürnberg, Univ., Diss., 2009 Rauschunterdrückung (DE-588)4177102-3 gnd rswk-swf Signal-Rausch-Abstand (DE-588)4330145-9 gnd rswk-swf Computertomografie (DE-588)4113240-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Computertomografie (DE-588)4113240-3 s Signal-Rausch-Abstand (DE-588)4330145-9 s Rauschunterdrückung (DE-588)4177102-3 s DE-604 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3440963&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020320636&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Borsdorf, Anja Adaptive filtering for noise reduction in X-ray computed tomography Rauschunterdrückung (DE-588)4177102-3 gnd Signal-Rausch-Abstand (DE-588)4330145-9 gnd Computertomografie (DE-588)4113240-3 gnd |
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| title | Adaptive filtering for noise reduction in X-ray computed tomography |
| title_auth | Adaptive filtering for noise reduction in X-ray computed tomography |
| title_exact_search | Adaptive filtering for noise reduction in X-ray computed tomography |
| title_full | Adaptive filtering for noise reduction in X-ray computed tomography Anja Borsdorf |
| title_fullStr | Adaptive filtering for noise reduction in X-ray computed tomography Anja Borsdorf |
| title_full_unstemmed | Adaptive filtering for noise reduction in X-ray computed tomography Anja Borsdorf |
| title_short | Adaptive filtering for noise reduction in X-ray computed tomography |
| title_sort | adaptive filtering for noise reduction in x ray computed tomography |
| topic | Rauschunterdrückung (DE-588)4177102-3 gnd Signal-Rausch-Abstand (DE-588)4330145-9 gnd Computertomografie (DE-588)4113240-3 gnd |
| topic_facet | Rauschunterdrückung Signal-Rausch-Abstand Computertomografie Hochschulschrift |
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