Map Projections

Erik W. Grafarend

ISBN 10: 3662517469 / ISBN 13: 9783662517468

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Mai 2017, 2017

About this Item

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 988 pp. Englisch.

Seller Inventory # 9783662517468

Bibliographic Details

• Title: Map Projections
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg Mai 2017
• Publication Date: 2017
• Language: English
• ISBN 10: 3662517469
• ISBN 13: 9783662517468
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 279W x 210H x 54D millimeters 279 millimeters width by 210 millimeters height by 54 millimeters depth
• Weight: 2384 grams

About this title

Synopsis

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.

About the Author

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