Deflectometric measurement of the topography of reflecting freeform surfaces in motion:
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| Format: | Thesis Book |
| Language: | English |
| Published: |
Passau
2023
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| Subjects: | |
| Online Access: | Volltext Volltext Inhaltsverzeichnis |
| Physical Description: | xiv, 157 Seiten Illustrationen, Diagramme |
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Record in the Search Index
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| adam_text | Contents i Abstract Acronyms vii ix Nomenclature 1 1 Introduction 1.1 Motivation ......................................................................................... 2 1.2 Problem Statement............................................................................ 2 1.3 Organization of Chapters ................................................................ 4 2 State of the Art 2.1 2.2 5 Conventional PMD............................................................................ 6 2.1.1 Measuring Principle of PMD ................................................ 7 2.1.2 Phase Shift.............................................................................. 9 2.1.3 Phase Unwrapping.................................................................. 11 2.1.4 Height Problem........................................................................ 13 Single-shot PMD................................................................................ 16 2.2.1 Principle ................................................................................. 16 2.2.2 Single-shot-PMD with Predistorted Pattern....................... 19 2.2.3 Problems and Limitations of theSingle-Shot PMD .... iii 20
iv CONTENTS 3 Signal Generation and Limits of SSPMD 3.1 Signal Modelling and PhysicalInfluencing Variables .................... 3.1.1 Contrast..................................................................................... 3.1.2 Modulation.............................................................................. 3.2 Physical Limits of Single-Shot PMD............................................... 3.2.1 Nyquist-ShannonSampling Limit......................................... 3.2.2 Local Convergence................................................................. 3.2.3 Phase Monotony.................................................................... 23 24 24 28 30 30 31 35 Time-Frequency Analysis for Phase Evaluation 4.1 State of the Art Technology of Time-Frequency Analysis............. 4.1.1 Short-time Fourier Transform............................................... 4.1.2 Wigner-Ville Transform......................................................... 4.1.3 Continuous Wavelet Transform............................................ 4.2 Localized 2D Ridgelet Transform applied to Phase Evaluation in PMD...................................................................................................... 4.2.1 2D Ridgelet Transform............................................................ 4.2.2 Localized 2D Ridgelet Transform......................................... 4.2.3 Fast Implementation............................................................... 4.2.4 Phase Evaluation..................................................................... 4.3 Limits of the 2D
Ridgelet Transform and Solution ...................... 4.3.1 Problem with Local BroadbandSignals............................... 4.3.2 Chirplet Transform.................................................................. 4.3.3 Critical Area Recognition...................................................... 39 41 42 47 50 4 5 53 53 55 63 65 67 67 73 77 Monocular Solution of the Height Problem 81 5.1 The Principle of the Savarese Method”......................................... 82 5.2 Extension to PMD.............................................................................. 93 5.2.1 Full Area Evaluation with R2 — R2Mapping..................... 93 5.3 Geometrical Properties and Bad Conditions..................................... 100 5.3.1 Surface Properties..................................................................... 100 5.3.2 Properties of the ChosenScene Lines........................................ 101 5.3.3 Ghost Solutions........................................................................... 104
CONTENTS 5.4 5.3.4 Perpendicular Configuration.................................................... 105 Monocular Height Estimation without Particular Scene Lines . . Ill 6 Data Fusion from Different Signal Sources 6.1 6.2 6.3 v 117 Information from Different Camera Positions................................. 119 Information from DifferentObject Positions...................................... 126 Information from Different Measuring Systems .............................. 131 7 Conclusion and Outlook 135 Bibliography 139 Acknowledgement 149 A Appendix 151 A.l Calculation of 7?շ.................................................................................................................... 151 A.2 B(i,r, A) = — ^ ^ represented in the principal coordinate systeml52 A.3 J(t,r, A) = ^д^’д^ represented in the principal coordinate systeml53 A.4 The perspective projection of a vector on the camera plane onto the tangent plane of the object surface.............................................. 155 A.5 Homogeneous Matrix............................................................................. 156
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| adam_txt |
Contents i Abstract Acronyms vii ix Nomenclature 1 1 Introduction 1.1 Motivation . 2 1.2 Problem Statement. 2 1.3 Organization of Chapters . 4 2 State of the Art 2.1 2.2 5 Conventional PMD. 6 2.1.1 Measuring Principle of PMD . 7 2.1.2 Phase Shift. 9 2.1.3 Phase Unwrapping. 11 2.1.4 Height Problem. 13 Single-shot PMD. 16 2.2.1 Principle . 16 2.2.2 Single-shot-PMD with Predistorted Pattern. 19 2.2.3 Problems and Limitations of theSingle-Shot PMD . iii 20
iv CONTENTS 3 Signal Generation and Limits of SSPMD 3.1 Signal Modelling and PhysicalInfluencing Variables . 3.1.1 Contrast. 3.1.2 Modulation. 3.2 Physical Limits of Single-Shot PMD. 3.2.1 Nyquist-ShannonSampling Limit. 3.2.2 Local Convergence. 3.2.3 Phase Monotony. 23 24 24 28 30 30 31 35 Time-Frequency Analysis for Phase Evaluation 4.1 State of the Art Technology of Time-Frequency Analysis. 4.1.1 Short-time Fourier Transform. 4.1.2 Wigner-Ville Transform. 4.1.3 Continuous Wavelet Transform. 4.2 Localized 2D Ridgelet Transform applied to Phase Evaluation in PMD. 4.2.1 2D Ridgelet Transform. 4.2.2 Localized 2D Ridgelet Transform. 4.2.3 Fast Implementation. 4.2.4 Phase Evaluation. 4.3 Limits of the 2D
Ridgelet Transform and Solution . 4.3.1 Problem with Local BroadbandSignals. 4.3.2 Chirplet Transform. 4.3.3 Critical Area Recognition. 39 41 42 47 50 4 5 53 53 55 63 65 67 67 73 77 Monocular Solution of the Height Problem 81 5.1 The Principle of the "Savarese Method”. 82 5.2 Extension to PMD. 93 5.2.1 Full Area Evaluation with R2 — R2Mapping. 93 5.3 Geometrical Properties and Bad Conditions. 100 5.3.1 Surface Properties. 100 5.3.2 Properties of the ChosenScene Lines. 101 5.3.3 Ghost Solutions. 104
CONTENTS 5.4 5.3.4 Perpendicular Configuration. 105 Monocular Height Estimation without Particular Scene Lines . . Ill 6 Data Fusion from Different Signal Sources 6.1 6.2 6.3 v 117 Information from Different Camera Positions. 119 Information from DifferentObject Positions. 126 Information from Different Measuring Systems . 131 7 Conclusion and Outlook 135 Bibliography 139 Acknowledgement 149 A Appendix 151 A.l Calculation of 7?շ. 151 A.2 B(i,r, A) = — ^'^ represented in the principal coordinate systeml52 A.3 J(t,r, A) = ^д^’д^ represented in the principal coordinate systeml53 A.4 The perspective projection of a vector on the camera plane onto the tangent plane of the object surface. 155 A.5 Homogeneous Matrix. 156 |
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| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| discipline_str_mv | Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Thesis Book |
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| spelling | Liang, Hanning Verfasser (DE-588)1191929302 aut Deflectometric measurement of the topography of reflecting freeform surfaces in motion Hanning Liang Passau 2023 xiv, 157 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Dissertation Universität Passau 2022 Deflektometrie (DE-588)4832784-0 gnd rswk-swf Freiformfläche (DE-588)4198736-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Deflektometrie (DE-588)4832784-0 s Freiformfläche (DE-588)4198736-6 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:739-opus4-11672 https://opus4.kobv.de/opus4-uni-passau/frontdoor/index/index/docId/1167 Verlag kostenfrei Volltext https://nbn-resolving.de/urn:nbn:de:bvb:739-opus4-11672 Resolving-System kostenfrei Volltext Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034079672&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Liang, Hanning Deflectometric measurement of the topography of reflecting freeform surfaces in motion Deflektometrie (DE-588)4832784-0 gnd Freiformfläche (DE-588)4198736-6 gnd |
| subject_GND | (DE-588)4832784-0 (DE-588)4198736-6 (DE-588)4113937-9 |
| title | Deflectometric measurement of the topography of reflecting freeform surfaces in motion |
| title_auth | Deflectometric measurement of the topography of reflecting freeform surfaces in motion |
| title_exact_search | Deflectometric measurement of the topography of reflecting freeform surfaces in motion |
| title_exact_search_txtP | Deflectometric measurement of the topography of reflecting freeform surfaces in motion |
| title_full | Deflectometric measurement of the topography of reflecting freeform surfaces in motion Hanning Liang |
| title_fullStr | Deflectometric measurement of the topography of reflecting freeform surfaces in motion Hanning Liang |
| title_full_unstemmed | Deflectometric measurement of the topography of reflecting freeform surfaces in motion Hanning Liang |
| title_short | Deflectometric measurement of the topography of reflecting freeform surfaces in motion |
| title_sort | deflectometric measurement of the topography of reflecting freeform surfaces in motion |
| topic | Deflektometrie (DE-588)4832784-0 gnd Freiformfläche (DE-588)4198736-6 gnd |
| topic_facet | Deflektometrie Freiformfläche Hochschulschrift |
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| work_keys_str_mv | AT lianghanning deflectometricmeasurementofthetopographyofreflectingfreeformsurfacesinmotion |