Mapping Toolbox

Geometric Geodesy and Map Projections

Geometric Geodesy

With geometric geodesy features in Mapping Toolbox, you can perform geodetic calculations that account for the curvature of Earth and other planetary bodies. You can find the surface area of arbitrary polygons or quadrangles on spheres and ellipsoids, calculate the intersections of geometric objects, compute the distance between points on a sphere or ellipsoid, and find the overlapping area between polygons. Navigation functionality enables you to perform tasks such as calculating and correcting for wind and current vectors based on heading and air or ground speed.

Weather data on top of satellite imagery for the continental United States.
Weather data on top of satellite imagery for the continental United States. Image Processing Toolbox is used to segment the primary storm from national weather data, and geodetic calculations are made using Mapping Toolbox to find the area of the storm. Data courtesy of NOAA, as retrieved via the Iowa Environmental Mesonet WMS Server, and NASA-JPL/Caltech.

Map Projections

Mapping Toolbox contains more than 65 of the most popular and important map projections for displaying the curved surface of planetary bodies on a 2D map display. They include equal-area, equidistant, conformal, and hybrid projections in the cylindrical, conic, and azimuthal classes. The toolbox also supports projections in the PROJ.4 library and the UTM/UPS systems. Many projections support both spherical and ellipsoidal models of Earth and other bodies.

With the toolbox, you can apply forward and inverse projections to transform positions and direction angles or azimuths between geographic and projected coordinate reference systems. Raster and image data displays can be projected in map visualizations to match the coordinate systems of other data sets. You can also explore the properties of your projection by trimming the data to a particular latitude-longitude extent, calculating distortion parameters at a point, or visualizing map distortions as Tissot Indicatrices or scale-distortion contours.

Mercator, Mollweide, and sinusoidal projections
Mercator, Mollweide, and sinusoidal projections (clockwise from top). Images courtesy NASA-JPL/Caltech.
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