Weighted total least squares solutions for applications in geodesy
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Hannover
Fachrichtung Geodäsie und Geoinformatik der Leibniz-Univ.
2011
|
| Schriftenreihe: | Wissenschaftliche Arbeiten der Fachrichtung Geodäsie und Geoinformatik der Leibniz-Universität Hannover
294 |
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| Online-Zugang: | Inhaltsverzeichnis |
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| 500 | |a Literaturverz. S. 73 - 76 | ||
| 502 | |a Zugl.: Hannover, Univ., Diss., 2011 | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | IMAGE 1
CONTENTS
ABSTRACT 1
KURZFASSUNG 2
1 INTRODUCTION 3
1.1 BACKGROUND 3
1.2 SCOPE AND OUTLINES OF THE THESIS 4
2 BASIC KNOWLEDGE FOR PARAMETER ESTIMATION 5
2.1 OPTIMAL PROPERTIES OF ESTIMATION 5
2.2 GAUSS MARKOV MODEL 6
2.3 GAUSS-HELMERT MODEL 9
3 TOTAL LEAST-SQUARES: A REVIEW 10
3.1 CLASSICAL TLS AND ERRORS-IN-VARIABLES MODEL 10
3.2 FIXING COLUMNS 12
3.3 CONSTRAINED TLS 13
3.4 STRUCTURED TLS 14
3.5 GENERALIZED TLS AND ELEMENT-WISE TLS 15
4 WEIGHTED TLS SOLUTIONS .............. _*......*...**. _..***_**_**.
*17
4. 1 OBJECTIVE FUNCTION AND GENERAL SOLUTION BASED ON SVD DECOMPOSITION
18
4.2 DEFINITION OF THE W T LS PROBLEM 20
4.3 GENERAL SOLUTIONS USING LAGRANGE MULTIPLIERS 21
4.4 SOLUTION USING NON-LINEAR GHM METHOD 26
4.5 SOLUTION BASED ON THE NEWTON TYPE 27
4.6 W T LS SOLUTION OF THE STANDARD GAUSS-NEWTON TYPE 30
4.7 COMPARISON BETWEEN THE GENERAL SOLUTIONS AND THE EXISTING SOLUTIONS
33
5 EXTENSION OF THE WEIGHTED TLS PROBLEM 35
5.1 FIXING COLUMNS 36
5.2 FIXING ELEMENTS 37
5.3 LINEAR CONSTRAINED WTLS PROBLEM 38
5.4 W T LS WITH PARAMETER MATRIX 39
5.5 RIGOROUS SOLUTIONS OF THE NON-LINEAR E IV MODEL 41
6 A P P L I C A T I O N S» ............................ . * * _ * * * *
* . ._ _ * * * . . * _ * _ _ * _ _ * ** _ * * _ * _ _ *_ 44
6.1 ORTHOGONAL REGRESSION 44
6.2 3D SIMILARITY TRANSFORMATION 49
6.3 QUADRATIC FORM ANALYSIS 58
6.4 T LS SOLUTION FOR GEODETIC NETWORKS 64
6.5 SUMMARY OF APPLICATIONS 67
7 CONCLUSIONS AND OUTLOOK 68
REFERENCES 69
LIST OF FIGURES AND TABLES.................. ........................
*____*.__**..___ __ *.**..__.*. _*73
APPENDIX......................... .._***_*.*** *_*_*_**___
.............. __*_***. _*__.*._.*___ *..74
ACKNOWLEDGEMENTS 77
LIST OF ABBREVIATIONS 78
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1015887074
DIGITALISIERT DURCH
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| author | Fang, Xing 1981- |
| author_GND | (DE-588)101568016X |
| author_facet | Fang, Xing 1981- |
| author_role | aut |
| author_sort | Fang, Xing 1981- |
| author_variant | x f xf |
| building | Verbundindex |
| bvnumber | BV039578110 |
| classification_rvk | ZI 9075 |
| ctrlnum | (OCoLC)756237631 (DE-599)BVBBV039578110 |
| dewey-full | 526.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 526 - Mathematical geography |
| dewey-raw | 526.1 |
| dewey-search | 526.1 |
| dewey-sort | 3526.1 |
| dewey-tens | 520 - Astronomy and allied sciences |
| discipline | Physik Bauingenieurwesen |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV039578110 |
| illustrated | Illustrated |
| indexdate | 2024-12-24T02:20:56Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024429470 |
| oclc_num | 756237631 |
| open_access_boolean | |
| owner | DE-12 DE-83 |
| owner_facet | DE-12 DE-83 |
| physical | 82 S. graph. Darst. 30 cm |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Fachrichtung Geodäsie und Geoinformatik der Leibniz-Univ. |
| record_format | marc |
| series | Wissenschaftliche Arbeiten der Fachrichtung Geodäsie und Geoinformatik der Leibniz-Universität Hannover |
| series2 | Wissenschaftliche Arbeiten der Fachrichtung Geodäsie und Geoinformatik der Leibniz-Universität Hannover |
| spellingShingle | Fang, Xing 1981- Weighted total least squares solutions for applications in geodesy Wissenschaftliche Arbeiten der Fachrichtung Geodäsie und Geoinformatik der Leibniz-Universität Hannover Geodäsie (DE-588)4020202-1 gnd Gewichtete Methode der kleinsten Quadrate (DE-588)4843053-5 gnd |
| subject_GND | (DE-588)4020202-1 (DE-588)4843053-5 (DE-588)4113937-9 |
| title | Weighted total least squares solutions for applications in geodesy |
| title_auth | Weighted total least squares solutions for applications in geodesy |
| title_exact_search | Weighted total least squares solutions for applications in geodesy |
| title_full | Weighted total least squares solutions for applications in geodesy Xing Fang |
| title_fullStr | Weighted total least squares solutions for applications in geodesy Xing Fang |
| title_full_unstemmed | Weighted total least squares solutions for applications in geodesy Xing Fang |
| title_short | Weighted total least squares solutions for applications in geodesy |
| title_sort | weighted total least squares solutions for applications in geodesy |
| topic | Geodäsie (DE-588)4020202-1 gnd Gewichtete Methode der kleinsten Quadrate (DE-588)4843053-5 gnd |
| topic_facet | Geodäsie Gewichtete Methode der kleinsten Quadrate Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024429470&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021269345 |
| work_keys_str_mv | AT fangxing weightedtotalleastsquaressolutionsforapplicationsingeodesy |