Grid analysis
Procedures of grid analysis are used when detecting unknown
projections. Geometrically it is based on Tissot's Indicatrix (see
the section on distortions!). But there are
certain aspects which can be determined by simple visual
inspection.
- If meridians and parallels intersect each other at right
angles, the projections is normal (and not miscellaneous or
pseudo).
- If meridians are straight, intersecting each other at one
distinct point and parallels are concentric circular arcs, the
projection can be conic or azimuthal. If the angle between
meridians are smaller than the angle between longitudes, then the
projection is conic.
- If both meridians and parallels are straight parallel lines,
the projection is cylindrical.
- If both meridians and parallels are circular arcs, the
projection can be stereographical or miscellaneous.
- If parallels are straight parallel lines and meridians are
curves, the projection can be pseudocylindrical.
- If parallels are circular arcs and meridians are curves,
projection can be pseudoconic.
Choosing projections
When planning map projections the following conditions are to be
considered:
- The purpose of the map (geodesy, navigation and military maps
require conformal projections, while equal area projections are
better for geographical and school maps)
- The scale of the map
- The size and shape of the mapped area with regard to its
latitude (circular areas can be mapped on azimuthal projections,
areas along parallel lines can be mapped on conic projections,
areas along great circles are usually represented on cylindrical
projections)
Sometimes there are more specific conditions projections should
fulfill:
- straight orthodrome lines (gnomonic pr.)
- straight loxodrome lines (Mercator pr.)
- both parallels and meridians are straight (cylindrical
pr.)
- parallels and meridians intersect each other at right angles
(normal pr.)
- circles on the datum (sphere) remain circles on the map
(conformal pr.)
- the Pole is represented as a point (eg. azimuthal pr.)
- mild distortions (eg. miscellaneous pr.)