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Geodetic Transformations Toolbox

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Geodetic Transformations Toolbox

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19 Jan 2006 (Updated )

Set of tools for transformation used in geodesy, especially when using GPS or mapping

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Description

A set of functions to calculate coordinate transformations between different reference ellipsoids and different projections, including tools on:
- transformation from cartesian to geographic coordinates and back
- transformation from geographic coordinates to transverse mercator mapping or lambert conformal conical mapping and back
- transformation from geographic to UTM and back which can handle irregular zones and pole mapping
- 3D/2D/1D similarity transformation (Helmert transformation)
- determination of the parameters of a 3D/2D/1D-Helmert transformation
- applying residual corrections after performing a helmert transformation
- reading and using NTv2 transformation parameters
- 3D transformation between ITRS and ETRS frames
- 3D/2D affine transformation and its parameter determination
- 3D/2D to 2D projective transformation and its parameter determination
- Molodensky transformation
Some projections and ellipsoids are already defined in mat-Files.

This functions are often used in geodesy when transforming between different coordinate systems, e.g. UTM to GK or GPS-data (WGS84) to UTM.

Although some might be incorporated in the mapping toolbox, at least I don't have that...

An example document with background information is added.

Please notify me of any bugs you may encounter.

Acknowledgements

This file inspired Geod Yet Another Geodetic Toolbox.

Required Products MATLAB
MATLAB release MATLAB 8.2 (R2013b)
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Comments and Ratings (14)
16 Feb 2014 jack

really thankful for this good code, and hope to write another in geodesy.

20 Jul 2013 zhu  
29 Dec 2012 Kevin J. Delaney

Fantastic! Well-written, with excellent tutorial documentation.

27 Dec 2012 Douissa

very good

31 Oct 2012 jade

great tools

24 Jul 2012 Peter Wasmeier

Michael, of course you are right. I corrected the wrong file. Thanks!

18 Jun 2012 Michael

There seems to be a small bug in d2affinetrafo.m: In line 46f. you check for the parameter vector length being equal to 6. But in lines 68 and 70 you adress p(6:7). Invaluable toolbox nonetheless!

13 May 2012 Shien Kwun Leong

Very useful. Thank you.

08 May 2009 Cynthia

Concerning the definition of the coordinate system "helmert3D" is based on:
I suppose it is a right-handed system with the directions of the rotations defined as following:

x-axis: from z to y
y-axis: from x to z
z-axis: from y to x

Is that correct?

29 Apr 2009 Aki

Genau das habe ich gesucht. Grossartig!

09 Jan 2007 renoald Tang

i think it is good

02 May 2006 J J  
19 Apr 2006 Ingolf Storbult

Great tools, but the projection.mat file seems to be corrupted - or is that just my download?

21 Jan 2006 amir hossein sadeghi

for help me

Updates
24 Jan 2006

I forgot to enable backwards compability for the included mat-Files. Now the mat-Files also work with Matlab V6.x
Thanks to Marie Ekstrom for bug reporting.

06 Feb 2006

A big in adding the right zone identifier was found for usage with utm-coordinates when transforming from ellipsoidal to projection coordinates.
I'm sorry for that.

03 May 2006

The Projections.mat file now is also accessible for Matlab R13 users.

16 Feb 2007

I was asked by Matlab users without geodetic background to give additional information about the transformation steps and an example of usage. I therfore added a paper which explains the calculations and gives a short introduction.

14 Apr 2009

I was asked to add a function which allows to calculate the transformation parameter set for cartesian datum transformation from two coordinate lists in both systems.

18 Dec 2009

There was some confusion with the additional file helmert3d which did not transform right-handed coordinate systems but left-handed, so the parameter sets did not fit in trafo3d.
this has been fixed now.

25 Mar 2010

A left-out transpose-command rose an error in trafo3d with only two input parameters. Thanks to Jon Preston for noticing me.

07 Dec 2011

The existing files of the Geodetic toolbox hove been completely revised and many additional functionality has been added.

22 Dec 2011

Some minor changes in the existing functions were made. Additional transformation types have been added.

24 Jul 2012

Update the coding error in d2affinetrafo.m Michael Schmitt mentioned on June 18th, 2012. Thanks, Michael!

30 Oct 2012

A missing default was fixed in cart2ell.m
Thanks to Johannes Schönberger to notice me.

07 Jan 2013

In itrstrafo.m there was a mistyping of two variable names which have been corrected. Additionally, a set of transformation parameters from IGS2005 to IGS2008 has been added in Trafo_ITRF.mat

07 May 2013

There were two small bugs in helmertprojective3d.m which threw errors.

11 Nov 2013

Molodensky transformation added due to a user request. Minor bug in deg2dms fixed. In Matlab 2013b, helmert adjustments with worse normal equation matrices diverged while they converged in earlier versions. I changed that functions to overcome that.

03 Apr 2014

Minor changes in the background document

24 Jun 2014

Fixed some minor warning issues.

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