JMU
Map Projections
for a Spherical Planet


Prof. David Bernstein
James Madison University

Computer Science Department
bernstdh@jmu.edu


Motivation
Thinking About Map Projections
Physical Models
Projection Surfaces
projection-surfaces
Positioning a Planar Projection Surface
projections_planar
Positioning a Cylindrical Projection Surface
projections_cylindrical
Positioning a Conical Projection Surface
projections_conical
Light Sources
projections_light-sources
Polar Azimuthal Orthographic Projection

Notation

projection_derivation_polar-azimuthal-orthographic
Polar Azimuthal Orthographic Projection (cont.)
Polar Azimuthal Orthographic Projection (cont.)

The World

projection_polar-azimuthal-orthographic_world
Cylindrical Stereographic Projection

Notation

projection_derivation_cylindrical-stereographic
Cylindrical Stereographic Projection (cont.)
Desirable Properties of Projections
Desirable Properties of Projections (cont.)
Nerd Humor - Bad Map Projection: South America
/imgs
(Courtesy of xkcd)
Sinusoidal Projection
Sinusoidal Projection (cont.)

The World

projection_sinusoidal_world
Equatorial Cylindrical Equal Area Projection
Equatorial Cylindrical Equal Area Projection (cont.)

The World

projection_equatorial-cylindrical-equalarea_world
Equatorial Cylindrical Conformal Projection (Mercator)
Equatorial Cylindrical Conformal Projection (cont.)

The World

projection_equatorial-mercator_world
Conical Equal Area Projection (Albers)
Conical Equal Area Projection (cont.)

The World

projection_albers_world