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...

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Bibliographic Details
Main Authors: Awange, Joseph L. (Author), Grafarend, Erik W. (Author), Palǹcz, Bľa. (Author), Zaletnyik, Piroska. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-12124-1
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100 1 # |a Awange, Joseph L.  |e author. 
245 1 0 |a Algebraic Geodesy and Geoinformatics  |c by Joseph L. Awange, Erik W. Grafarend, Bľa Palǹcz, Piroska Zaletnyik.  |h [electronic resource] / 
264 # 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2010. 
300 # # |a XVIII, 377p. 106 illus.  |b online resource. 
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505 0 # |a Preface to the first edition -- Preface to the second editon -- Foreword -- Introduction -- Part I -- Algebraic symbolic and numeric methods -- Basics of Ring Theory -- Groebner Basis -- Polynomial resultants -- Linear homotopy -- Solutions of Overdetermined System -- Extended Newton-Raphson method -- Procrustes solution -- Part II Applications to geodesy and geoinformatics -- LPS-GPS orientations and vertical deections -- Cartesian to Ellipsoidal Mapping -- Positioning by ranging -- Positioning by resection methods -- Positioning by intersection methods -- GNSS meteorology in environmental monitoring -- Algebraic diagnosis of outliers -- Datum transformation problems -- Computer algebra systems (CAS) -- Appendix -- References -- Index. 
520 # # |a 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. Ơ 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. 
650 # 0 |a Geography. 
650 # 0 |a Mathematical geography. 
650 # 0 |a Remote sensing. 
650 # 0 |a Geographical information systems. 
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650 1 4 |a Earth Sciences. 
650 2 4 |a Computer Applications in Earth Sciences. 
650 2 4 |a Geographical Information Systems/Cartography. 
650 2 4 |a Computational Mathematics and Numerical Analysis. 
650 2 4 |a Remote Sensing/Photogrammetry. 
650 2 4 |a Mathematical Applications in Earth Sciences. 
700 1 # |a Grafarend, Erik W.  |e author. 
700 1 # |a Palǹcz, Bľa.  |e author. 
700 1 # |a Zaletnyik, Piroska.  |e author. 
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