Overview
- The book is of great benefit for the target group
- There is no competition from other text books or from other publications
- The book is the first complete review of the topic of Map Projections to a lot of other sciences
- Includes supplementary material: sn.pub/extras
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Table of contents (24 chapters)
Keywords
About this book
In the context of Geographical Information Systems (GIS) the book offers a timely review of Map Projections. The first chapters are of foundational type. We introduce the mapping from a left Riemann manifold to a right one specified as conformal, equiaerial and equidistant, perspective and geodetic. In particular, the mapping from a Riemann manifold to a Euclidean manifold ("plane") and the design of various coordinate systems are reviewed . A speciality is the treatment of surfaces of Gaussian curvature zero. The largest part is devoted to the mapping the sphere and the ellipsoid-of-revolution to tangential plane, cylinder and cone (pseudo-cone) using the polar aspect, transverse as well as oblique aspect. Various Geodetic Mappings as well as the Datum Problem are reviewed. In the first extension we introduce optimal map projections by variational calculus for the sphere, respectively the ellipsoid generating harmonic maps. The second extension reviews alternative maps for structures , namely torus (pneu), hyperboloid (cooling tower), paraboloid (parabolic mirror), onion shape (church tower) as well as clothoid (Hight Speed Railways) used in Project Surveying. Third, we present the Datum Transformation described by the Conformal Group C10 (3) in a threedimensional Euclidean space , a ten parameter conformal transformation. It leaves infinitesimal angles and distance ratios equivariant. Numerical examples from classical and new map projections as well as twelve appendices document the Wonderful World of Map Projections.
Authors and Affiliations
About the authors
Prof. Dr. Erik W. Grafarend, Stuttgart University, Stuttgart, Germany email: grafarend@gis.uni-stuttgart.de
Prof. Dr.-Ing. Rey-Jer You, National Cheng Kung University, Tainan, Taiwan Dipl.-Ing.
Rainer Syffus, ESG Elektroniksystem- und Logistik GmbH, Fuerstenfeldbruck, Germany
Bibliographic Information
Book Title: Map Projections
Book Subtitle: Cartographic Information Systems
Authors: Erik W. Grafarend, Rey-Jer You, Rainer Syffus
DOI: https://doi.org/10.1007/978-3-642-36494-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Earth and Environmental Science, Earth and Environmental Science (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2014
Hardcover ISBN: 978-3-642-36493-8Published: 26 September 2014
Softcover ISBN: 978-3-662-51746-8Published: 04 May 2017
eBook ISBN: 978-3-642-36494-5Published: 11 September 2014
Edition Number: 2
Number of Pages: XXVI, 935
Number of Illustrations: 283 b/w illustrations, 3 illustrations in colour
Topics: Geographical Information Systems/Cartography, Geophysics/Geodesy, Geography, general