Map Projections
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Author | : Erik W. Grafarend |
Publisher | : Springer |
Total Pages | : 941 |
Release | : 2014-09-11 |
Genre | : Science |
ISBN | : 3642364942 |
Download Map Projections Book in PDF, Epub and Kindle
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.
Author | : John P. Snyder |
Publisher | : University of Chicago Press |
Total Pages | : 384 |
Release | : 1997-12-05 |
Genre | : History |
ISBN | : 0226767477 |
Download Flattening the Earth Book in PDF, Epub and Kindle
Cartographers have long grappled with the impossibility of portraying the earth in two dimensions. To solve this problem, mapmakers have created map projections. This work discusses and illustrates the known map projections from before 500BC to the present, with facts on their origins and use.
Author | : Dan Ford |
Publisher | : |
Total Pages | : |
Release | : 2021-03-15 |
Genre | : |
ISBN | : 9780578844176 |
Download Map Projections for Babies Book in PDF, Epub and Kindle
Map Projections for Babies is a board book that explains how we unwrap the round Earth to make flat maps. Vibrant illustrations show unique map projection examples, ranging from common shapes - like circles and squares - to intricate shapes - like hearts and butterflies. This book illustrates the way size, shape, and distance change on maps made using different projections. Encourage early communication and learning with this guide for babies (and their loved ones) that describes a complex concept in a baby-friendly format.
Author | : Fritz Kessler |
Publisher | : CRC Press |
Total Pages | : 264 |
Release | : 2019-05-03 |
Genre | : Science |
ISBN | : 1351396056 |
Download Working with Map Projections Book in PDF, Epub and Kindle
A map projection fundamentally impacts the mapmaking process. Working with Map Projections: A Guide to Their Selection explains why, for any given map, there isn’t a single "best" map projection. Selecting a projection is a matter of understanding the compromises and consequences of showing a 3-D space in two dimensions. The book presents a clear understanding of the processes necessary to make logical decisions on selecting an appropriate map projection for a given data set. The authors discuss the logic needed in the selection process, describe why certain decisions should be made, and explain the consequences of any inappropriate decision made during the selection process. This book also explains how the map projection will impact the map’s ability to fulfill its purpose, uses real-world data sets as the basis for the selection of an appropriate map projection, and provides illustrations of an appropriately and inappropriately selected map projection for a given data set. The authors take a novel approach to discussing map projections by avoiding an extensive inventory of mathematical formulae and using only the mathematics of map projections that matter for many mapping tasks. They also present information that is directly applicable to the process of selecting map projections and not tied to a specific software package. Written by two leading experts, this book is an invaluable resource for anyone studying or working with geospatial data, from students to experienced professionals, and will help readers successfully weigh the pros and cons of choosing one projection over another to suit a map’s intended purpose.
Author | : Melita Kennedy |
Publisher | : ESRI Press |
Total Pages | : 118 |
Release | : 2000 |
Genre | : Science |
ISBN | : |
Download Understanding Map Projections Book in PDF, Epub and Kindle
Author | : Miljenko Lapaine |
Publisher | : Springer |
Total Pages | : 363 |
Release | : 2017-04-04 |
Genre | : Science |
ISBN | : 3319518356 |
Download Choosing a Map Projection Book in PDF, Epub and Kindle
This book offers a much-needed critical approach to the intelligent use of the wide variety of map projections that are rapidly and inexpensively available today. It also discusses the distortions that are immanent in any map projection. A well-chosen map projection is one in which extreme distortions are smaller than those in any other projection used to map the same area and in which the map properties match its purpose. Written by leading experts in the field, including W. Tobler, F.C. Kessler, S.E. Battersby, M.P. Finn, K.C. Clarke, V.S. Tikunov, H. Hargitai, B. Jenny and N. Frančula. This book is designed for use by laymen. The book editors are M. Lapaine and E.L. Usery, Chair and Vice-Chair, respectively, of the ICA Commission on Map Projections for the period 2011-2015.
Author | : Donald Fenna |
Publisher | : CRC Press |
Total Pages | : 512 |
Release | : 2006-10-25 |
Genre | : Technology & Engineering |
ISBN | : 9780849381690 |
Download Cartographic Science Book in PDF, Epub and Kindle
Geographic books routinely introduce map projections without providing mathematical explanations of projections and few delve into complex mathematical development or cover the breadth of projections. From basic projecting to advanced transformations, Cartographic Science: A Compendium of Map Projections, with Derivations is a comprehensive reference that offers an explanation of the science of cartography. The book is a compilation of more than a hundred map projections, from classic conics to contemporary transformations using complex variables. Starting from widely described geometric projecting onto flat paper, cylinder, and cone and then progressing through several layers of mathematics to reach modern projections, the author maximizes the application of one layer of complex mathematics before continuing on to the next. He also supplies numerous one-page tutorials that review terms and methodologies, helping minimize the challenges of unfamiliar mathematical territory. Divided into four parts, the first section examines the shape and size of the Earth, then proceeds to investigate the means for relating the curved surface to a flat surface, and addresses scaling. It goes on to cover pertinent principles of projection including literal projecting, true but synthetic projections, secantal projections, pseudocylindrical projections, and pseudoconical projections, as well as the other variants of more serious projections. The book concludes by looking at factors influencing Mean Sea Level and notes the cartographic aspects of current developments. Cartographic Science: A Compendium of Map Projections, with Derivations explains the mathematical development for a large range of projections within a framework of the different cartographic methodologies. This carefully paced book covers more projections, with gentle and progressive immersion in the mathematics involved, than any other book of its kind.
Author | : L M Bugayevskiy |
Publisher | : CRC Press |
Total Pages | : 349 |
Release | : 2013-12-19 |
Genre | : Technology & Engineering |
ISBN | : 1482248034 |
Download Map Projections Book in PDF, Epub and Kindle
Map projection concerns the science of mathematical cartography, the techniques by which the Earth's dimensions, shape and features are translated in map form, be that two-dimensional paper or two- or three- dimensional electronic representations. The central focus of this book is on the theory of map projections. Mathematical cartography also take
Author | : Qihe Yang |
Publisher | : CRC Press |
Total Pages | : 388 |
Release | : 2020-11-26 |
Genre | : Technology & Engineering |
ISBN | : 1000162796 |
Download Map Projection Transformation Book in PDF, Epub and Kindle
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.
Author | : Jonathan Iliffe |
Publisher | : CRC Press |
Total Pages | : 166 |
Release | : 2000 |
Genre | : Science |
ISBN | : 9780849308840 |
Download Datums and Map Projections for Remote Sensing, GIS, and Surveying Book in PDF, Epub and Kindle
New methods of acquiring spatial data and the advent of geographic information systems (GIS) for handling and manipulating data mean that we no longer must rely on paper maps from a single source, but can acquire, combine, and customize spatial data as needed. To ensure quality results, however, one must fully understand the diverse coordinate frameworks upon which the data are based. Datums and Map Projections provides clear, accessible explanations of the terminology, relationships, transformations, and computations involved in combining data from different sources. The first half of the book focuses on datums, exploring different coordinate systems and datums, including two- and three-dimensional representations of Earth coordinates and vertical datums. After an overview of the global positioning system (GPS), the author introduces the fundamentals of map projections and examines the different types. He then presents models and procedures for transforming directly between data sets. The final chapter presents case studies of projects that illustrate the types of problems often encountered in practice. Newcomers to the field will welcome this treatment that, instead of detailed mathematics, uses lucid explanations and numerous examples to unravel the complexities of the subject. For more experienced readers, the book is a valuable reference that answers specific questions and imparts a better understanding of transformation operations and principles. Features