The Aitoff projection is a modified azimuthal map projection proposed by David A. Aitoff in 1889. Based on the equatorial form of the azimuthal equidistant projection, Aitoff first halves longitudes, then projects according to the azimuthal equidistant, and then stretches the result horizontally into a 2:1 ellipse to compensate for having halved the longitudes.
Expressed simply:
where azeqx and azeqy are the x and y components of the equatorial azimuthal equidistant projection. Written out explicitly, the projection is:
where
and sinc α is the unnormalized sinc function with the discontinuity removed. In all of these formulas, λ is the longitude from the central meridian and φ is the latitude.
Three years later, Ernst Hermann Heinrich Hammer suggested the use of the Lambert azimuthal equal-area projection in the same manner as Aitoff, producing the Hammer projection. While Hammer was careful to cite Aitoff, some authors have mistakenly referred to the Hammer projection as the Aitoff projection.[1]
^Flattening the Earth: Two Thousand Years of Map Projections, John P. Snyder, 1993, pp.130-133, ISBN 0-226-76747-7.
The Aitoffprojection is a modified azimuthal map projection proposed by David A. Aitoff in 1889. Based on the equatorial form of the azimuthal equidistant...
18 July 1953) in 1921. The projection is the arithmetic mean of the equirectangular projection and the Aitoffprojection: The name tripel (German for...
by the Aitoffprojection, Hammer suggested the use of the equatorial form of the Lambert azimuthal equal-area projection instead of Aitoff's use of the...
The Mercator projection (/mərˈkeɪtər/) is a conformal cylindrical map projection presented by Flemish geographer and cartographer Gerardus Mercator in...
This is a summary of map projections that have articles of their own on Wikipedia or that are otherwise notable. Because there is no limit to the number...
In cartography, a map projection is any of a broad set of transformations employed to represent the curved two-dimensional surface of a globe on a plane...
The azimuthal equidistant projection is an azimuthal map projection. It has the useful properties that all points on the map are at proportionally correct...
uses the sinusoidal projection, Winkel II uses the Mollweide projection, and Winkel Tripel (Winkel III) uses the Aitoffprojection. Winkel I and II are...
stereographic projection is a perspective projection of the sphere, through a specific point on the sphere (the pole or center of projection), onto a plane...
coordinates x and y. List of map projectionsAitoffprojection Hammer projection Tobler hyperelliptical projection family The formula in the text helps...
stereographic projection, also known as the planisphere projection or the azimuthal conformal projection, is a conformal map projection whose use dates...
The Gall stereographic projection, presented by James Gall in 1855, is a cylindrical projection. It is neither equal-area nor conformal but instead tries...
The Werner projection is a pseudoconic equal-area map projection sometimes called the Stab-Werner or Stabius-Werner projection. Like other heart-shaped...
gnomonic projection, also known as a central projection or rectilinear projection, is a perspective projection of a sphere, with center of projection at the...
In cartography, a conformal map projection is one in which every angle between two curves that cross each other on Earth (a sphere or an ellipsoid) is...
The equirectangular projection (also called the equidistant cylindrical projection or la carte parallélogrammatique projection), and which includes the...
The transverse Mercator map projection (TM, TMP) is an adaptation of the standard Mercator projection. The transverse version is widely used in national...
The Robinson projection is a map projection of a world map that shows the entire world at once. It was specifically created in an attempt to find a good...
Orthographic projection in cartography has been used since antiquity. Like the stereographic projection and gnomonic projection, orthographic projection is a...
sinusoidal projection is a pseudocylindrical equal-area map projection, sometimes called the Sanson–Flamsteed or the Mercator equal-area projection. Jean Cossin...
A Lambert conformal conic projection (LCC) is a conic map projection used for aeronautical charts, portions of the State Plane Coordinate System, and many...
The Miller cylindrical projection is a modified Mercator projection, proposed by Osborn Maitland Miller in 1942. The latitude is scaled by a factor of...
AuthaGraph is an approximately equal-area world map projection invented by Japanese architect Hajime Narukawa in 1999. The map is made by equally dividing...
The central cylindrical projection is a perspective cylindrical map projection. It corresponds to projecting the Earth's surface onto a cylinder tangent...
The Waterman "Butterfly" World Map is a map projection created by Steve Waterman. Waterman first published a map in this arrangement in 1996. The arrangement...