Geodetic Toolbox
A collection of geodetic functions that solve a variety of problems in geodesy. Supports a wide range of common and user-defined reference ellipsoids. Most functions are vectorized. Most recent version can be found at <http://www.craymer.com/software/matlab/geodetic/>. Functions include:
Angle Conversions
deg2rad - Degrees to radians
dms2deg - Degrees,minutes,seconds to degrees
dms2rad - Degrees,minutes,seconds to radians
rad2deg - Radians to degrees
rad2dms - Radians to degrees,minutes,seconds
rad2sec - Radians to seconds
sec2rad - Seconds to radians
Coordinate Conversions
ell2utm - Ellipsoidal (lat,long) to UTM (N,E) coordinates
ell2xyz - Ellipsoidal (lat,long) to Cartesian (x,y,z) coodinates
sph2xyz - Shperical (az,va,dist) to Cartesian (x,y,z) coordinates
xyz2sph - Cartesian (x,y,z) to spherical (az,va,dist) coordinates
xyz2ell - Cartesian (x,y,z) to ellipsoidal (lat,long,ht) coordinates
xyz2ell2 - xyz2ell with Bowring height formula
xyz2ell3 - xyz2ell using complete Bowring version
utm2ell - UTM (N,E) to ellipsoidal (lat,long) coordinates
Coordinate Transformations
refell - Reference ellipsoid definition
ellradii - Various radii of curvature
ct2lg - Conventional terrestrial (ECEF) to local geodetic (NEU)
dg2lg - Differences in Geodetic (lat,lon) to local geodetic (NEU)
cct2clg - Conventional terrestrial to local geodetic cov. matrix
clg2cct - Local geodetic to conventional terrestrial cov. matrix
rotct2lg - Rotation matrix for conventional terrestrial to local geod.
rotlg2ct - Rotation matrix for local geod. to conventional terrestrial
lg2ct - Local geodetic (NEU) to conventional terrestrial (ECEF)
lg2dg - Local geodetic (NEU) to differences in geodetic (lat,lon)
direct - Direct geodetic problem (X1,Y1,Z1 + Az,VA,Dist to X2,Y2,Z2)
inverse - Inverse geodetic problem (X1,Y1,Z1 + X2,Y2,Z2 to Az,VA,Dist)
simil - Similarity transformation (translation,rotation,scale change)
Date Conversions
cal2jd - Calendar date to Julian date
dates - Converts between different date formats
doy2jd - Year and day of year to Julian date
gps2jd - GPS week & seconds of week to Julian date
jd2cal - Julian date to calenar date
jd2dow - Julian date to day of week
jd2doy - Julian date to year & day of year
jd2gps - Julian date to GPS week & seconds of week
jd2mjd - Julian date to Modified Julian date
jd2yr - Julian date to year & decimal year
mjd2jd - Modified Julian date to Julian date
yr2jd - Year & decimal year to Julian date
Error Ellipses
errell2 - Computes error ellipse semi-axes and azimuth
errell3 - Computes error ellipsoid semi-axes, azimuths, inclinations
plterrel - Plots error ellipse for covariance matrix
Miscellaneous
cart2euler- Converts Cartesian coordinate rotations to Euler pole rotation
euler2cart- Converts Euler pole rotation to Cartesian coordinate rotations
findfixed - Finds fixed station based on 3D covariance matrix
pltnet - Plots network of points with labels
Example Scripts
DirInv - Simple partial GUI script for direct and inverse problems
DirProb - Example of direct problem
Dist3D - Example to compute incremental 3D distances between points.
InvProb - Example of inverse problem
PltNetEl - Example plot of network error ellipses
ToUTM - Example of conversion from latitude,longitude to UTM
Cite As
Mike Craymer (2024). Geodetic Toolbox (https://www.mathworks.com/matlabcentral/fileexchange/15285-geodetic-toolbox), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Platform Compatibility
Windows macOS LinuxCategories
- Sciences > Geoscience >
- Sciences > Geoscience > Geodesy and Mapping >
- Aerospace and Defense > Aerospace Toolbox > Standard Workflow Procedures > Coordinate Systems >
- Aerospace and Defense > Aerospace Toolbox > Standard Workflow Procedures > Physical and Time Unit Conversions >
Tags
Acknowledgements
Inspired: Antarctic geoid conversions, Equinoxes and Solstices, geod -- yet another geodetic toolbox, UTM2LatLong GeoTiff Converter
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geodetic/
Version | Published | Release Notes | |
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2.99.0.0 | n/a
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1.22.0.0 | Added utm2ell, cart2euler & euler2cart; corrected cal2jd, ell2utm, xyz2ell; modified cct2clg & clg2cct; vectorized jd2yr; corrected help comments in lg2ct, pltnet. See individual functions for details. |
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1.21.0.0 | n/a |
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1.18.0.0 | n/a |
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1.12.0.0 | Added jd2mjd & mjd2jd for modified Julian date conversions. Modified ct2lg & lg2ct for different lat,lon for each point. Corrected ToUTM. Removed clear all in example scripts. Modified functions to use GRS80 reference ellipsoid by default. |
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1.5.0.0 | Added Matlab File Exchange BSD licensing. No changes to code since v2.92. |
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1.4.0.0 | Added Matlab File Exchange BSD licensing. No changes to code since v2.92. |
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1.3.0.0 | Corrected correction to ell2utm function in v2.91 (and tested it this time!). |
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1.1.0.0 | Corrected ell2utm function for mixed north and south latitudes. Thanks to Sebastian Holz for pointing out the error and providing a fix. |
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1.0.0.0 |