Geospatial algebraic computations [electronic resource] : theory and applications / Joseph L. Awange, Béla Paláncz.
Awange, Joseph L., 1969- author.; Paláncz, Béla, author.
2016
QB283
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Title Geospatial algebraic computations [electronic resource] : theory and applications / Joseph L. Awange, Béla Paláncz.
Author Awange, Joseph L., 1969- author.
Edition Third edition.
ISBN 9783319254654 (electronic book)
3319254650 (electronic book)
9783319254630
3319254634
DOI https://doi.org/10.1007/978-3-319-25465-4
Published Cham : Springer, 2016.
Language English
Description 1 online resource (xx, 541 pages) : illustrations.
Other Standard Identifiers 10.1007/978-3-319-25465-4 doi
Call Number QB283
Dewey Decimal Classification 526.0285
Summary Improved geospatial instrumentation and technology such as in laser scanning has now resulted in millions of data being collected, e.g., point clouds. It is in realization that such huge amount of data requires efficient and robust mathematical solutions that this third edition of the book extends the second edition by introducing three new chapters: Robust parameter estimation, Multiobjective optimization and Symbolic regression. Furthermore, the linear homotopy chapter is expanded to include nonlinear homotopy. These disciplines are discussed first in the theoretical part of the book before illustrating their geospatial applications in the applications chapters where numerous numerical examples are presented. The renewed electronic supplement contains these new theoretical and practical topics, with the corresponding Mathematica statements and functions supporting their computations introduced and applied. This third edition is renamed in light of these technological advancements.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed February 3, 2016).
Added Author Paláncz, Béla, author.
Available in Other Form Print version: 3319254634
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Part I Algebraic symbolic and numeric methods
Basics of Ring Theory
Basics of Polynominal Theory
Groebner Basis
Polynominal Resultants
Linear and Nonlinear Homotpy
Solutions of Overdetermined Systems
Extended Newton-Raphson method
Procrustes Solution
EIV models and Pareto Optimality.-Symbolic Regression
Robust Estimation
Part II Applications to geodesy and geoinformatics
LPS-GNSS Orientations and vertical Deflections
Cartesian to Ellipsoidal Mapping
Positioning by Ranging.-Positioning by resection Methods
Positioning by intersection Methods
GNSS Environmental Monitoring
Algebraic Diagnosis of Outliers
Datum Transformation Problems
Appendix
References
Index.

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