Robinson projection

Abstract: The Robinson Projection is the most preferred World map projection in the atlas cartography. There are no analytical formulas except Robinson's look-up table for this projection. This deficiency has led a number of requests for the plotting formulas and cartographers have studied to derive analytical equations using different algorithms. In these works, different interpolation algorithms are applied to Robinson's table values and solutions are presented including some critics about the deformations on this projection. In this study, a summary of these computation algorithms is collected. The multiquadric interpolation method is suggested and applied to the Robinson's tabular coordinates. A series of numerical evaluations are presented then for the controversies and for comparison between these computation algorithms.

Abstract: A map projection suitable for many thematic maps of the world not involving area-related data is an oblique orthographic projection of E. N. Gilbert's Two-World Conformal Globe, centered at 5° N. latitude and 5° E. longitude. Although the result is neither conformal nor equal-area, it provides a rounded view of almost the entire world, essentially uninterrupted.

Abstract: (1929). THE POLAR EQUAL AREA: A NEW PROJECTION FOR THE WORLD MAP. Annals of the Association of American Geographers: Vol. 19, No. 3, pp. 157-161.

Abstract: The subject of neotectonics, covering the structures and structural activity of the last 5 million years (ie, post-Miocene) is a well-recognized field, including "active tectonics," focussed on the last 500,000 years in a 1986 National Research Council report of that title However, there is a cartographic gap between tectonic maps, generally showing all features regardless of age, and maps of current seismic or volcanic activity We have compiled a map intended to bridge this gap, using modern data bases and computer-aided cartographic techniques The maps presented here are conceptually descended from an earlier map showing tectonic and volcanic activity of the last one million years Drawn by hand with the National Geographic Society's 1975 "The Physical World" map as a base, the 1981 map in various revisions has been widely reproduced in textbooks and various technical publications However, two decades of progress call for a completely new map that can take advantage of new knowledge and cartographic techniques The digital tectonic activity map (DTM), presented in shaded relief (Fig 1) and schematic (Fig 2) versions, is the result The DTM is intended to show tectonism and volcanism of the last one million years, a period long enough to be representative of global activity, but short enough that features such as fault scarps and volcanos are still geomorphically recognizable Data Sources and Cartographic Methods The DTM is based on a wide range of sources, summarized in Table 1 The most important is the digital elevation model, used to construct a shaded relief map The bathymetry is largely from satellite altimetry, specifically the marine gravity compilations by Smith and Sandwell (1996) The shaded relief map was designed to match the new National Geographic Society world physical map (1992), although drawn independently, from the digital elevation model The Robinson Projection is used instead of the earlier Van der Grinten one Although neither conformal nor equal-area, the Robinson Projection provides a reasonable compromise and retains useful detail at high latitudes