Algebraic Geodesy and Geoinformatics
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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.
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Awange, Joseph; Palancz, B.; Lewis, R. (2014)In geodesy and geoinformatics, most problems are nonlinear in nature and often require the solution of systems of polynomial equations. Before 2002, solutions of such systems of polynomial equations, especially of higher ...
Lewis, R.; Paláncz, B.; Awange, Joseph (2018)© 2018, Springer-Verlag GmbH Germany, part of Springer Nature. Improvements in computational and observational technologies in geoinformatics, e.g., the use of laser scanners that produce huge point cloud data sets, or ...
Grafarend, E.; Awange, Joseph (2012)Here we present a nearly complete treatment of the Grand Universe of linear and weakly nonlinear regression models within the first 8 chapters. Our point of view is both an algebraic view as well as a stochastic one. For ...