A map projection is a procedure that unwraps a sphere or ellipsoid
to flatten it onto a plane. Usually this is done through an intermediate
surface such as a cylinder or a cone, which is then unwrapped to lie
flat. Consequently, map projections are classified as cylindrical,
conical, and azimuthal (a direct transformation of the surface of
part of a spheroid to a circle). All map projections introduce distortions
compared to maps on globes. Distortions are inherent in flattening
the sphere. Some classes of map projections maintain areas, and others
preserve local shapes, distances, and directions. No projection, however,
can preserve all these characteristics. Choosing a projection thus
always requires compromising accuracy in some way, and that is one
reason why so many different map projections have been developed.
The Mapping toolbox supports dozens of map projections, which you
principally control with the axesm
function. These
projections span equal-area, equidistant, conformal, and hybrid projections
in the cylindrical, transverse cylindrical, conic, azimuthal, pseudocylindrical,
and pseudoazimuthal classes.