Map projection transformation: principles and applications
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Taylor & Francis
2000
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 367 S. Ill. |
| ISBN: | 0748406670 0748406689 |
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MARC
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| 245 | 1 | 0 | |a Map projection transformation |b principles and applications |c Qihe H. Yang ; John P. Snyder ; Waldo R. Tobler |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a London [u.a.] |b Taylor & Francis |c 2000 | |
| 300 | |a XV, 367 S. |b Ill. | ||
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| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Cartography |x Mathematics | |
| 650 | 4 | |a Map projection | |
| 700 | 1 | |a Snyder, John P. |e Verfasser |4 aut | |
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Record in the Search Index
| _version_ | 1804129196065161216 |
|---|---|
| adam_text | Titel: Map projection transformation
Autor: Yang, Qihe H.
Jahr: 2000
Contents
Symbols ix
Preface xiii
Introduction 1
1 Fifty Years Advancement of Map Projection Study in China 5
1.1 Basic mathematics for topographic maps and for atlases 5
1.2 General theory of map projection 6
1.3 Exploration of new types of map projection 7
1.4 Selection of map projection and its application 8
1.5 Theory and application of map projection transformation 9
1.6 Continuous development of new research and applications to
the field of map projection 10
2 Map Projection Equations 13
2.1 Earth ellipsoid and sphere 13
2.2 Azimuthal projections 16
2.3 Cylindrical projections 21
2.4 Conic projections 28
2.5 Pseudoazimuthal projections 32
2.6 Pseudocylindrical projections 33
2.7 Pseudoconical projections 36
2.8 Polyconical projections 37
2.9 Other types of projections 41
2.10 Projection from the ellipsoid to the sphere 48
2.11 Space map projection 49
2.12 Chinese topographic maps 50
3 General Theory of Map Projection Transformation 53
3.1 Research objectives and basic methods 53
3.2 Equations for map projection transformation 56
MAP PROIECT1ON TRANSFORMATION
3.3 Plane feature transformation 61
3.4 Coordinate systems on the surfaces of the ellipsoid and sphere 71
3.5 Three kinds of latitude functions q, S, F on the surface of
the ellipsoid 79
3.6 Inverse transformation of q, S, F - iteration method 86
3.7 Inverse transformation of q, S, F - trigonometric series method
with constant coefficients 87
3.8 Inverse transformation of q, S, F - Taylor series method with
varied coefficients 92
3.9 Inverse transformation of q, S, F - numerical methods 99
3.10 Transformation formulae among six kinds of latitudes 101
3.11 Commonly used power series in map projection transformation 107
4 Analytical Transformation 111
4.1 Azimuthal projection 111
4.2 Cylindrical projection 118
4.3 Conic projection 121
4.4 Transformation among azimuthal, cylindrical and conic projections 127
4.5 Pseudoazimuthal, pseudocylindrical and pseudoconic projections 133
4.6 Polyconic projection 137
4.7 Double projection 144
5 Analytical Transformation for Conformai Projection 149
5.1 General model for conformai projection transformation 149
5.2 Direct transformation between two conformai projections 157
5.3 Direct transformation of conformai projections 172
5.4 Inverse transformation of conformai projections 173
5.5 Conformai oblique cylindrical and oblique conic projections 175
6 Numerical Transformation 181
6.1 General polynomial approximations 181
6.2 Refining parallels and meridians 187
6.3 Orthogonal polynomial approximation 194
6.4 Accuracy considerations in numerical transformation 199
7 Numerical Transformation for Conformai Projection 205
7.1 Conformai polynomial approximation 205
7.2 Interpolation 211
7.3 Difference method 214
7.4 Finite element method 218
8 The Third Type of Coordinate Transformation 229
8.1 Principle and applications 229
8.2 Transverse Mercator (or Gauss-Kriiger) projection 235
8.3 Conformai projections 237
8.4 Linear interpolation 240
8.5 Spherical coordinates 241
CONTENTS
9 Zone Transformation for the Transverse Mercator
(Gauss-Kriiger) Projection 245
9.1 The general method 245
9.2 Indirect transformation 246
9.3 Direct transformation 247
9.4 Plane coordinate network transformation between adjacent zones 254
9.5 Application of double projection 257
10 New Map Projections 263
10.1 Affine transformation of equal-area projections and seeking
of modified equal-area projections (Yang 1992) 263
10.2 Linear transformation of the gnomonic projection and seeking
the double-azimuthal projection (Yang 1990b) 267
11 Variable-scale Map Projections 271
11.1 Variable-scale projections 271
11.2 Composite projections 278
12 Position Lines 287
12.1 Types of position lines and their projection 287
12.2 Determining the position of a target 300
13 Spatial Information Positioning Systems 309
13.1 Introduction 309
13.2 Mapping and image positioning system 310
13.3 Registration model (map projection system) 311
13.4 Data processing of a digital map 313
13.5 Automatically setting up map mathematical foundation 318
Appendices
Appendix 1 Inverse Transformation of Algebraic Series 325
Appendix 2 Constant Coefficient Tables of Zone Transformation
for the Gauss-Kriiger Projection 329
Appendix 3 Examples of Numerical Transformation 333
Appendix 4 Transformation for the Mathematical Elements of
Topographic Maps 345
Appendix 5 The Position Line and Position Navigation Software System 349
Appendix 6 Bibliography of Chinese Literature on Map Projections and
Other References 353
Index 363
|
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| author | Yang, Qihe H. ca. 20. Jh Snyder, John P. Tobler, Waldo R. 1930- |
| author_GND | (DE-588)123869137 (DE-588)122533038 |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:01:17Z |
| institution | BVB |
| isbn | 0748406670 0748406689 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009809513 |
| oclc_num | 41212463 |
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| owner_facet | DE-19 DE-BY-UBM |
| physical | XV, 367 S. Ill. |
| publishDate | 2000 |
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| publisher | Taylor & Francis |
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| spelling | Yang, Qihe H. ca. 20. Jh. Verfasser (DE-588)123869137 aut Map projection transformation principles and applications Qihe H. Yang ; John P. Snyder ; Waldo R. Tobler 1. publ. London [u.a.] Taylor & Francis 2000 XV, 367 S. Ill. txt rdacontent n rdamedia nc rdacarrier Cartographie - Mathématiques Kaartprojecties gtt Projection cartographique Mathematik Cartography Mathematics Map projection Snyder, John P. Verfasser aut Tobler, Waldo R. 1930- Verfasser (DE-588)122533038 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009809513&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yang, Qihe H. ca. 20. Jh Snyder, John P. Tobler, Waldo R. 1930- Map projection transformation principles and applications Cartographie - Mathématiques Kaartprojecties gtt Projection cartographique Mathematik Cartography Mathematics Map projection |
| title | Map projection transformation principles and applications |
| title_auth | Map projection transformation principles and applications |
| title_exact_search | Map projection transformation principles and applications |
| title_full | Map projection transformation principles and applications Qihe H. Yang ; John P. Snyder ; Waldo R. Tobler |
| title_fullStr | Map projection transformation principles and applications Qihe H. Yang ; John P. Snyder ; Waldo R. Tobler |
| title_full_unstemmed | Map projection transformation principles and applications Qihe H. Yang ; John P. Snyder ; Waldo R. Tobler |
| title_short | Map projection transformation |
| title_sort | map projection transformation principles and applications |
| title_sub | principles and applications |
| topic | Cartographie - Mathématiques Kaartprojecties gtt Projection cartographique Mathematik Cartography Mathematics Map projection |
| topic_facet | Cartographie - Mathématiques Kaartprojecties Projection cartographique Mathematik Cartography Mathematics Map projection |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009809513&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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