國立虎尾科技大學 |

Geospatial Algebraic Computations = Theory and Applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Geospatial Algebraic Computations/ by Joseph Awange, Béla Paláncz.
其他題名:	Theory and Applications /
作者:	Awange, Joseph.
其他作者:	Paláncz, Béla.
面頁冊數:	XX, 541 p. 185 illus., 37 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Geophysics. -
電子資源:	https://doi.org/10.1007/978-3-319-25465-4
ISBN:	9783319254654

Geospatial Algebraic Computations = Theory and Applications /
Awange, Joseph.

Geospatial Algebraic ComputationsTheory and Applications /[electronic resource] :by Joseph Awange, Béla Paláncz. - 3rd ed. 2016. - XX, 541 p. 185 illus., 37 illus. in color.online resource.

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

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

686174
Geophysics.

LC Class. No.: QC801-809

Dewey Class. No.: 550

Geospatial Algebraic Computations = Theory and Applications /
LDR:03147nam a22004095i 4500 001 980423
003 DE-He213
005 20200807132515.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319254654 $9 978-3-319-25465-4
024 7 $a 10.1007/978-3-319-25465-4 $2 doi
035 $a 978-3-319-25465-4
050 4 $a QC801-809
072 7 $a PHVG $2 bicssc
072 7 $a SCI032000 $2 bisacsh
072 7 $a PHVG $2 thema
082 0 4 $a 550 $2 23
082 0 4 $a 526.1 $2 23
100 1 $a Awange, Joseph. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 883651
245 1 0 $a Geospatial Algebraic Computations $h [electronic resource] : $b Theory and Applications / $c by Joseph Awange, Béla Paláncz.
250 $a 3rd ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a XX, 541 p. 185 illus., 37 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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 Geophysics. $3 686174
650 0 $a Computer mathematics. $3 1199796
650 0 $a Civil engineering. $3 561339
650 0 $a Computer science—Mathematics. $3 1253519
650 0 $a Numerical analysis. $3 527939
650 1 4 $a Geophysics/Geodesy. $3 668510
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 669338
650 2 4 $a Civil Engineering. $3 669250
650 2 4 $a Symbolic and Algebraic Manipulation. $3 669944
650 2 4 $a Numeric Computing. $3 669943
700 1 $a Paláncz, Béla. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1273229
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319254630
776 0 8 $i Printed edition: $z 9783319254647
776 0 8 $i Printed edition: $z 9783319797946
856 4 0 $u https://doi.org/10.1007/978-3-319-25465-4
912 $a ZDB-2-EES
912 $a ZDB-2-SXEE
950 $a Earth and Environmental Science (SpringerNature-11646)
950 $a Earth and Environmental Science (R0) (SpringerNature-43711)