A new pseudocylindrical equal-area projection for adaptive composite map projections

The recently introduced adaptive composite map projection technique changes the projection to the geographic area shown on a map. It is meant as a replacement for the commonly used web Mercator projection, which grossly distorts areas when representing the entire world. The original equal-area version of the adaptive composite map projection technique uses the Lambert azimuthal projection for regional maps and three alternative projections for world maps. Adaptive composite map projections can include a variety of other equal-area projections when the transformation between the Lambert azimuthal and the world projections uses Wagner’s method. To select the most suitable pseudocylindrical projection, the distortion characteristics of a pseudocylindrical projection family are analyzed, and a user study among experts in the area of map projections is carried out. Based on the results of the distortion analysis and the user study, a new pseudocylindrical projection is recommended for extending adaptive composite map projections. The new projection is equal-area throughout the transformation to the Lambert azimuthal projection and has better distortion characteristics then small-scale projections currently included in the adaptive composite map projection technique.

[1]  John P. Snyder,et al.  An Album of Map Projections , 1989 .

[2]  J. E. E. Craster.  Some Equal-Area Projections of the Sphere , 1929 .

[3]  W. Tobler.  SOME NEW EQUAL AREA MAP PROJECTIONS , 1964 .

[4]  Bernhard Jenny,et al.  Flex Projector-Interactive Software for Designing World Map Projections , 2008 .

[5]  G. I. Evenden,et al.  libproj4: A Comprehensive Library of Cartographic Projection Functions (Preliminary Draft) , 2005 .

[6]  Bernhard Jenny,et al.  A Polynomial Equation for the Natural Earth Projection , 2011 .

[7]  Zehdreh Allen-Lafayette,et al.  Flattening the Earth, Two Thousand Years of Map Projections , 1998 .

[8]  John P. Snyder,et al.  Map Projections: A Working Manual , 2012 .

[9]  C. Peter Keller,et al.  Map Projections: A Reference Manual , 1996 .

[10]  Bernhard Jenny.  Adaptive Composite Map Projections , 2012, IEEE Transactions on Visualization and Computer Graphics.

[11]  David M. Goldberg,et al.  Flexion and Skewness in Map Projections of the Earth , 2007, Cartogr. Int. J. Geogr. Inf. Geovisualization.

[12]  J. S Rowlinson.  Flattening the earth , 2006, Notes and Records of the Royal Society.

[13]  Frank Canters,et al.  Small-Scale Map Projection Design , 2002 .

[14]  Variationen von Weltkartennetzen der Wagner-Hammer-Aïtoff-Entwurfsfamilie , 2006, KN - Journal of Cartography and Geographic Information.

[15]  Bernhard Jenny,et al.  Blending world map projections with Flex Projector , 2013 .

[16]  Frank Canters,et al.  The World in Perspective: A Directory of World Map Projections , 1989 .