map.geodesy.IsometricLatitudeConverter class

Package: map.geodesy

Convert between geodetic and isometric latitudes

Description

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

Construction

converter = map.geodesy.IsometricLatitudeConverter returns an isometric latitude converter object for a sphere (with Eccentricity 0).

converter = map.geodesy.IsometricLatitudeConverter(spheroid) returns an isometric latitude converter object with Eccentricity matching the specified spheroid object.

Input Arguments

spheroid

Reference spheroid, specified as a scalar referenceEllipsoid, oblateSpheroid, and referenceSphere object.

Properties

Eccentricity

Eccentricity is a scalar double falling 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.)

Methods

forward Convert between geodetic and isometric latitudes
inverse Isometric latitude to geodetic latitude

Copy Semantics

Value. To learn how value classes affect copy operations, see Copying Objects in the MATLAB® documentation.

Examples

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Create an Isometric Latitude Converter Object and Set Property

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

  IsometricLatitudeConverter with properties:

    Eccentricity: 0.0818

Create an Isometric Latitude Converter Object Specifying Spheroid

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

  IsometricLatitudeConverter with properties:

    Eccentricity: 0.0818
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