Map Projections


Book Description

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.




Map Projection Transformation


Book Description

With the advance of science and technology, there have been breakthroughs in the field of classical research and methods of map projection. Among these, computer science and space science have had the greater influence upon the field of research and the formation of a working body of map projection, developing them in breadth and depth. This book reflects several aspects of the development of modern mathematical cartography, especially the theory and methods of map projection transformation. Map projection transformation is an area of research in mathematical cartography newly developed over the last 25 years. It is widely used in surveying and computer-assisted cartography, data processing for information systems, and the transformation of data from space, remote sensing, and other space sciences. The development of map projection transformation not only expands new areas of research on mathematical cartography, but it also further develops the applied area with the creation and application of map projection transformation software and mapping mathematics bases on the computer.




Cartography


Book Description










Working with Projections and Datum Transformations in ArcGIS


Book Description

*Weitere Angaben Sonstiges: An invaluable aid for ArcGIS users: This book contains an ideal mix of background information on projections and transformations together with detailed explanations of their usage in ArcGIS. Recent decades have seen major developments in geodesy and GIS software, so that ArcGIS users are increasingly being confronted with the need to deal with coordinate systems and projections. Have you, too, wondered why your data doesn't align or how to convert your data from one UTM zone to another? This book provides clear, practical answers to these and many other questions. The emphasis is on how to perform projections and transformations in ArcGIS as well as when and why you need to do so. It contains no formulae - the first book of its kind to do this. Recognizing the need for a book which can bridge the gap between theory and practice and provide in-depth support specifically for ArcGIS users, two GIS experts (a geodesist and a mathematician) took on the challenge. Following its successful launch in German the book has now been made available to the English speaking ArcGIS community just as ArcGIS 9 has brought further important changes in the treatment and availability of projections and transformations. Working with Projections and Datum Transformations in ArcGIS contains four practical chapters covering coordinate system handling, customizing and programming techniques. The theoretical chapters supply solid background information without overloading the book. The authors have taken care to ensure that the complex terminology and conceptual basis of the subject are clearly explained. Chapter 8 contains Frequently Asked Questions distilled from practical experience in User Support. These sections provide quick access to some typical scenarios and problem solutions. There are many useful tips for general users, administrators and programmers. The examples involving ArcObjects and VBA will whet the appetites of both beginners and experienced programmers to enhance ArcGIS with their own creativity. Thus many different types of user will find the book a fund of useful information: General users will value the balance of theoretical and practical information; software experts will appreciate the geodetic sections, whilst geodesists will profit from the authors' intimate knowledge of ArcGIS.




Conformal Projections in Geodesy and Cartography


Book Description

"The purpose of this publication is to bring together in one volume and to give in detail the mathematical development of the formulas (or source references) for these projections in their various forms for the convenience of the geodetic computers and cartographers of the Coast and Geodetic Survey. It will supersede Special Publication No. 53, since it will incorporate the essential material contained therein."--Page iii.