Summary and Guide to Projections
Use projections to display latitudelongitude coordinate data on maps. Choose a projection method by considering these criteria:
Family – Choose a cylindrical, conic, or azimuthal projection based on your purpose and region of interest. For more information, see The Three Main Families of Map Projections.
Properties – Choose a projection based on the properties you want to preserve, such as shape, distance, direction, scale, and area. For more information, see Quantitative Properties of Map Projections.
Distortion – Choose a projection based on the distortion you want to minimize or eliminate. For more information, see Map Projections and Distortions.
These tables show the map projections you can use with map projection structures and
axesm
based maps. For more information about map projection structures,
see defaultm
. For more information about axesm
based maps, see
axesm
.
Note
Most projection IDs are also functions on the MATLAB^{®} search path. These functions are only used in the implementation of functions
such as defaultm
and axesm
, and therefore their
syntaxes are not documented.
Cylindrical Projections
Projection Name  Projection ID  EqualArea  Conformal  Equidistant  Special Features  Example 

Balthasart  ✔  x  x  — 
 
Behrmann  ✔  x  x  — 
 
Bolshoi Sovietskii Atlas Mira  x  x  x  — 
 
Braun Perspective  x  x  x  — 
 
Cassini  x  x  ✔  — 
 
Cassini – Standard  x  x  x  — 
 
Central  x  x  x  — 
 
EqualArea Cylindrical  ✔  x  x  — 
 
Equidistant Cylindrical  x  x  ✔  — 
 
Gall Isographic  x  x  ✔  — 
 
Gall Orthographic  ✔  x  x  — 
 
Gall Stereographic  x  x  x  — 
 
Lambert EqualArea Cylindrical  ✔  x  x  — 
 
Mercator  x  ✔  x  Rhumb lines are straight. 
 
Miller  x  x  x  — 
 
Plate Carrée  x  x  ✔  — 
 
Transverse Mercator  tranmerc  x  ✔  x  — 

Trystan Edwards  ✔  x  x  — 
 
Universal Transverse Mercator (UTM)  x  ✔  x  —  —  
Wetch  x  x  x  — 

Pseudocylindrical Projections
Projection Name  Projection ID  EqualArea  Conformal  Equidistant  Special Features  Example 

Apianus II  x  x  x  — 
 
Collignon  ✔  x  x  — 
 
Craster Parabolic  ✔  x  x  — 
 
Eckert I  x  x  x  — 
 
Eckert II  ✔  x  x  — 
 
Eckert III  x  x  x  — 
 
Eckert IV  ✔  x  x  — 
 
Eckert V  x  x  x  — 
 
Eckert VI  ✔  x  x  — 
 
Fournier  ✔  x  x  — 
 
Goode Homolosine  ✔  x  x  — 
 
Hatano Asymmetrical EqualArea  ✔  x  x  — 
 
Kavraisky V  ✔  x  x  — 
 
Kavraisky VI  ✔  x  x  — 
 
Loximuthal  x  x  x  Rhumb lines from the central point are straight, true to scale, and correct in azimuth. 
 
McBrydeThomas FlatPolar Parabolic  ✔  x  x  — 
 
McBrydeThomas FlatPolar Quartic  ✔  x  x  — 
 
McBrydeThomas FlatPolar Sinusoidal  ✔  x  x  — 
 
Mollweide  ✔  x  x  — 
 
Putnins P5  x  x  x  — 
 
Quartic Authalic  ✔  x  x  — 
 
Robinson  x  x  x  — 
 
Sinusoidal  ✔  x  x  — 
 
Tissot Modified Sinusoidal  ✔  x  x  — 
 
Wagner IV  ✔  x  x  — 
 
Winkel 1  x  x  x  — 

Conic Projections
Projection Name  Projection ID  EqualArea  Conformal  Equidistant  Special Features  Example 

Albers EqualArea Conic  ✔  x  x  — 
 
Albers EqualArea Conic – Standard  eqaconicstd  ✔  x  x  — 

Equidistant Conic  x  x  ✔  — 
 
Equidistant Conic – Standard  eqdconicstd  x  x  ✔  — 

Lambert Conformal Conic  x  ✔  x  — 
 
Lambert Conformal Conic – Standard  x  ✔  x  — 
 
Murdoch I Conic  x  x  ✔  The total area is correct. 
 
Murdoch III Minimum Error Conic  x  x  ✔  The total area is correct. 

Pseudoconic Projections
Polyconic Projections
Projection Name  Projection ID  EqualArea  Conformal  Equidistant  Special Features  Example 

Polyconic  x  x  x  — 
 
Polyconic – Standard  x  x  x  — 
 
Van Der Grinten I  x  x  x  — 

Azimuthal Projections
Projection Name  Projection ID  EqualArea  Conformal  Equidistant  Special Features  Example 

Breusing Harmonic Mean  x  x  x  — 
 
Equidistant Azimuthal  x  x  ✔  — 
 
Gnomonic  x  x  x  Great circles appear as straight lines. 
 
Lambert Azimuthal EqualArea  ✔  x  x  — 
 
Orthographic  x  x  x  — 
 
Stereographic  x  ✔  x  Great and small circles appear as either straight lines or circular arcs. 
 
Universal Polar Stereographic (UPS)  x  ✔  x  Great and small circles appear as either straight lines or circular arcs.  —  
Vertical Perspective Azimuthal  x  x  x  — 

Pseudoazimuthal Projections
Projection Name  Projection ID  EqualArea  Conformal  Equidistant  Special Features  Example 

Wiechel  ✔  x  x  — 
