quartic
Quartic Authalic Projection
Classification
Pseudocylindrical
Identifier
quartic
Graticule
Central Meridian: Straight line 0.45 as long as the Equator.
Other Meridians: Equally spaced quartic (fourth-order equation) curves concave toward the central meridian.
Parallels: Unequally spaced straight parallel lines, perpendicular to the central meridian. Spacing changes gradually and is greatest near the Equator.
Poles: Points.
Symmetry: About the central meridian or the Equator.
Features
This is an equal-area projection. Scale is true along the Equator and is constant along any parallel and between any pair of parallels equidistant from the Equator. Distortion is severe near the outer meridians at high latitudes, but less so than on the Sinusoidal projection. It is free of distortion along the Equator. This projection is not conformal or equidistant.
Parallels
This projection has one standard parallel, which is by definition fixed at 0º.
Remarks
This projection was presented by Karl Siemon in 1937 and independently by Oscar Sherman Adams in 1945.
Example
landareas = shaperead('landareas.shp','UseGeoCoords',true); axesm ('quartic', 'Frame', 'on', 'Grid', 'on'); geoshow(landareas,'FaceColor',[1 1 .5],'EdgeColor',[.6 .6 .6]); tissot;
Version History
Introduced before R2006a