inverse

Convert authalic, conformal, isometric, or rectifying latitude to geodetic latitude

Syntax

phi = inverse(converter,lat)

phi = inverse(converter,lat,angleUnit)

Description

phi = inverse(converter,lat) returns the geodetic latitude coordinates corresponding to authalic, conformal, isometric, or rectifying latitude coordinates lat.

phi = inverse(converter,lat,angleUnit) specifies the units of output phi.

Examples

Convert Conformal Latitude Values to Geodetic Values

chi = [-90 -67.3637 -44.8077 -22.3643 0 22.3643 44.8077 67.3637 90];
conv = map.geodesy.ConformalLatitudeConverter(wgs84Ellipsoid);
phi = inverse(conv,chi)

phi =

  -90.0000  -67.5000  -45.0000  -22.5000  0  22.5000  45.0000  67.5000  90.0000

Convert Isometric to Geodetic Latitude, in Radians

psi = [-Inf -1.6087 -0.87663 -0.40064 0 0.40064 0.87663 1.6087 Inf];
conv = map.geodesy.IsometricLatitudeConverter(wgs84Ellipsoid);
phi = inverse(conv,psi,'radians')

phi =

  -1.5708  -1.1781  -0.7854  -0.3927  0  0.3927  0.7854  1.1781  1.5708

Input Arguments

converter — Latitude converter

AuthalicLatitudeConverter, ConformalLatitudeConverter, IsometricLatitudeConverter, or RectifyingLatitudeConverter object

Latitude converter, specified as an AuthalicLatitudeConverter, ConformalLatitudeConverter, IsometricLatitudeConverter, or RectifyingLatitudeConverter object.

lat — Latitude coordinates to convert

numeric scalar, vector, matrix, or N-D array

Latitude coordinates to convert, specified as a numeric scalar, vector, matrix, or N-D array.

The interpretation of lat depends on the latitude converter. If the conversion is:

• authalic, lat represents the variable β (beta).

• conformal, lat represents χ (chi).

• isometric, lat represents ψ (psi). lat is a dimensionless number and does not have an angle unit.

• rectifying, lat represents μ (mu).

For authalic, conformal, and rectifying conversions, the values of lat must be consistent with angleUnit.

angleUnit — Unit of latitude coordinates

'degrees' (default) | 'radians'

Units of latitude coordinates, specified as 'degrees' or 'radians'.

Output Arguments

phi — Geodetic latitude coordinates

numeric scalar, vector, matrix, or N-D array

Geodetic latitude coordinates, specified as a numeric scalar value, vector, matrix, or N-D array. phi is the same size as lat. If angleUnit is not supplied, phi is in degrees. Otherwise, values of phi are consistent with the units of angleUnit.

Data Types: single | double