ENGLISH

Algebraic Geodesy and Geoinformatics

By Joseph L. Awange , Erik W. Grafarend , Béla Paláncz , Piroska Zaletnyik (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2010
ISBN
3642121233, 9783642121234, 9783642121241
DOI
10.1007/978-3-642-12124-1
Google Books ID
XrCBEVCwAewC
Language
english
Format
PDF
Filesize
10 MB (10796941 bytes)
Edition
2
Pages
377\384
Orientation
no
Scanned
no
Time added
2012-02-04 16:00:00
Computer Applications in Earth Sciences; Geographi

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.

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