Algebraic geodesy and geoinformatics
Geodesy Geomatics Mathematical geography Géodésie Géographie mathématique Géomatique sähkökirjat
Springer Berlin Heidelberg
2010
2nd ed.
EISBN 9783642121241
Preface to the first edition; Preface to the second edition; Foreword; Contents; Introduction; Motivation; Modern challenges; Facing the challenges; Concluding remarks; Part I Algebraic symbolic and numeric methods; Basics of ring theory; Basics of polynomial theory; Groebner basis; Polynomial resultants; Linear homotpy; Solutions of Overdetermined Systems; Extended Newton-Raphson method; Procrustes solution; Part II Applications to geodesy and geoinformatics; LPS-GNSS orientations and vertical deflections; Cartesian to ellipsoidal mapping; Positioning by ranging.
Presents modern and efficient methods for solving Geodetic and Geoinformatics algebraic problems illustrated with Mathematica using computer algebra techniques of Ring, Polynomials, Groebner basis, Resultants including Dixon resultant, Gauss-Jacobi combinatorial and Procrustes algorithms as well as homotopy methods.
Presents modern and efficient methods for solving Geodetic and Geoinformatics algebraic problems illustrated with Mathematica using computer algebra techniques of Ring, Polynomials, Groebner basis, Resultants including Dixon resultant, Gauss-Jacobi combinatorial and Procrustes algorithms as well as homotopy methods.
