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Map Projections

Cartographic Information Systems

  • Book
  • © 2014

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

  • Department of Geodetic Sciences, Stuttgart University, Stuttgart, Germany

    Erik W. Grafarend

  • Department of Geomatics, National Cheng Kung University, Tainan, Taiwan

    Rey-Jer You

  • ESG Elektroniksystem- und Logistik GmbH, Fuerstenfeldbruck, Germany

    Rainer Syffus

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

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