Algebraic Geodesy and Geoinformatics
The book presents modern and efficient methods for solving Geodetic and Geoinformatics algebraic problems. Numerous examples are illustrated with Mathematica using the computer algebra techniques of Ring, Polynomials, Groebner basis, Resultants (including Dixon resultants), Gauss-Jacobi combinatoria...
| Main Authors: | , , , |
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| Format: | Book |
| Published: |
Springer
2010
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/23258 |
| _version_ | 1848751100003352576 |
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| author | Awange, Joseph Grafarend, E. Palancz, B. Zaletnyik, P. |
| author_facet | Awange, Joseph Grafarend, E. Palancz, B. Zaletnyik, P. |
| author_sort | Awange, Joseph |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The book presents modern and efficient methods for solving Geodetic and Geoinformatics algebraic problems. Numerous examples are illustrated with Mathematica using the computer algebra techniques of Ring, Polynomials, Groebner basis, Resultants (including Dixon resultants), Gauss-Jacobi combinatorial and Procrustes algorithms, as well as homotopy methods. While these problems are traditionally solved by approximate methods, this book presents alternative algebraic techniques based on computer algebra tools. This new approach meets such modern challenges as resection by laser techniques, solution of orientation in Robotics, transformation and bundle block adjustment in Geoinformatics, densification of Engineering networks, analytical solution for GNSS-meteorology and many other problems. For Mathematicians, the book provides some practical examples of the application of abstract algebra and multidimensional scaling. The extra electronic material contains Mathematica notebooks with computational illustrations and application packages to solve for real life problems in Geodesy and Geoinformatics such as resection, intersection, and orientation problems. |
| first_indexed | 2025-11-14T07:47:21Z |
| format | Book |
| id | curtin-20.500.11937-23258 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:47:21Z |
| publishDate | 2010 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-232582018-12-14T00:54:10Z Algebraic Geodesy and Geoinformatics Awange, Joseph Grafarend, E. Palancz, B. Zaletnyik, P. Engineering Surveying Geodesy Algebraic computations Photogrammetry Computer Algebra Geoinformatics GIS The book presents modern and efficient methods for solving Geodetic and Geoinformatics algebraic problems. Numerous examples are illustrated with Mathematica using the computer algebra techniques of Ring, Polynomials, Groebner basis, Resultants (including Dixon resultants), Gauss-Jacobi combinatorial and Procrustes algorithms, as well as homotopy methods. While these problems are traditionally solved by approximate methods, this book presents alternative algebraic techniques based on computer algebra tools. This new approach meets such modern challenges as resection by laser techniques, solution of orientation in Robotics, transformation and bundle block adjustment in Geoinformatics, densification of Engineering networks, analytical solution for GNSS-meteorology and many other problems. For Mathematicians, the book provides some practical examples of the application of abstract algebra and multidimensional scaling. The extra electronic material contains Mathematica notebooks with computational illustrations and application packages to solve for real life problems in Geodesy and Geoinformatics such as resection, intersection, and orientation problems. 2010 Book http://hdl.handle.net/20.500.11937/23258 Springer restricted |
| spellingShingle | Engineering Surveying Geodesy Algebraic computations Photogrammetry Computer Algebra Geoinformatics GIS Awange, Joseph Grafarend, E. Palancz, B. Zaletnyik, P. Algebraic Geodesy and Geoinformatics |
| title | Algebraic Geodesy and Geoinformatics |
| title_full | Algebraic Geodesy and Geoinformatics |
| title_fullStr | Algebraic Geodesy and Geoinformatics |
| title_full_unstemmed | Algebraic Geodesy and Geoinformatics |
| title_short | Algebraic Geodesy and Geoinformatics |
| title_sort | algebraic geodesy and geoinformatics |
| topic | Engineering Surveying Geodesy Algebraic computations Photogrammetry Computer Algebra Geoinformatics GIS |
| url | http://hdl.handle.net/20.500.11937/23258 |