國立高雄大學圖資館 |

Language: English

Back

Geospatial algebraic computationsthe...

Awange, Joseph L.

Geospatial algebraic computationstheory and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geospatial algebraic computationsby Joseph L. Awange, Bela Palancz.
Reminder of title:	theory and applications /
Author:	Awange, Joseph L.
other author:	Palancz, Bela.
Published:	Cham :Springer International Publishing :2016.
Description:	xx, 541 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Geospatial dataMathematics.
Online resource:	http://dx.doi.org/10.1007/978-3-319-25465-4
ISBN:	9783319254654$q(electronic bk.)

Geospatial algebraic computationstheory and applications /
Awange, Joseph L.

Geospatial algebraic computationstheory and applications /[electronic resource] :by Joseph L. Awange, Bela Palancz. - 3rd ed. - Cham :Springer International Publishing :2016. - xx, 541 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9783319254654$q(electronic bk.)

Standard No.: 10.1007/978-3-319-25465-4doiSubjects--Topical Terms:

739621
Geospatial data
--Mathematics.

LC Class. No.: QB283

Dewey Class. No.: 526.0285

Geospatial algebraic computationstheory and applications /
LDR:02709nmm a2200325 a 4500 001 482743
003 DE-He213
005 20160816170008.0
006 m d
007 cr nn 008maaau
008 161007s2016 gw s 0 eng d
020 $a 9783319254654$q(electronic bk.)
020 $a 9783319254630$q(paper)
024 7 $a 10.1007/978-3-319-25465-4 $2 doi
035 $a 978-3-319-25465-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QB283
072 7 $a PHVG $2 bicssc
072 7 $a SCI032000 $2 bisacsh
082 0 4 $a 526.0285 $2 23
090 $a QB283 $b .A964 2016
100 1 $a Awange, Joseph L. $3 485080
245 1 0 $a Geospatial algebraic computations $h [electronic resource] : $b theory and applications / $c by Joseph L. Awange, Bela Palancz.
250 $a 3rd ed.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xx, 541 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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.
650 0 $a Geospatial data $x Mathematics. $3 739621
650 0 $a Geodesy $x Mathematics. $3 275440
650 0 $a Mathematical geography. $3 274598
650 1 4 $a Earth Sciences. $3 309702
650 2 4 $a Geophysics/Geodesy. $3 274000
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 274020
650 2 4 $a Civil Engineering. $3 273741
650 2 4 $a Symbolic and Algebraic Manipulation. $3 273720
650 2 4 $a Numeric Computing. $3 275524
700 1 $a Palancz, Bela. $3 739620
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-25465-4
950 $a Earth and Environmental Science (Springer-11646)