map.geodesy.IsometricLatitudeConverter

Convert between geodetic and isometric latitudes

Description

An IsometricLatitudeConverter object provides conversion methods between geodetic and isometric latitudes for an ellipsoid with a given eccentricity.

The isometric latitude is a nonlinear function of the geodetic latitude that is directly proportional to the spacing of parallels, relative to the Equator, in an ellipsoidal Mercator projection. It is a dimensionless quantity and, unlike other types of auxiliary latitude, the isometric latitude is not angle-valued. It equals Inf at the north pole and -Inf at the south pole.

Creation

Syntax

converter = map.geodesy.IsometricLatitudeConverter
converter = map.geodesy.IsometricLatitudeConverter(spheroid)

Description

example

converter = map.geodesy.IsometricLatitudeConverter returns an IsometricLatitudeConverter object for a sphere and sets the Eccentricity property to 0.

example

converter = map.geodesy.IsometricLatitudeConverter(spheroid) returns an isometric latitude converter object and sets the Eccentricity property to match the specified spheroid object.

Input Arguments

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Reference spheroid, specified as a referenceEllipsoid, oblateSpheroid, or referenceSphere object. To create a spheroid object, use the creation function specific to the object, or the wgs84Ellipsoid function.

Example: spheroid = referenceEllipsoid('GRS 80');

Properties

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Ellipsoid eccentricity, specified as a numeric scalar. Eccentricity is in the interval [0, 0.5]. Eccentricities larger than 0.5 are possible in theory, but do not occur in practice and are not supported.

Data Types: double

Object Functions

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

Examples

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grs80 = referenceEllipsoid('GRS 80');
    
conv1 = map.geodesy.IsometricLatitudeConverter;
conv1.Eccentricity = grs80.Eccentricity
conv1 = 

  IsometricLatitudeConverter with properties:

    Eccentricity: 0.0818
grs80 = referenceEllipsoid('GRS 80');
    
conv2 = map.geodesy.IsometricLatitudeConverter(grs80)
conv2 = 

  IsometricLatitudeConverter with properties:

    Eccentricity: 0.0818

Introduced in R2013a