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Highlights from
Geodetic Transformations Toolbox

CART=ell2cart(ELL,ellips,File... ELL2CART performs transformation from ellipsoidal coordinates to cartesian coordinates
ELL=cart2ell(CART,ellips,File... CART2ELL performs transformation from cartesian coordinates to ellipsoidal coordinates
ELL=lambertcc2ell(PRO,sys,UND... LAMBERTCC2ELL performs transformation from a conic Lambert mapping projection to ellipsoidal coordinates
ELL=tm2ell(PRO,sys,UND,FileOu... TM2ELL performs transformation from a transverse mercator mapping projection to ellipsoidal coordinates
ELL=utm2ell(PRO,ell,UND,UseMG... UTM2ELL performs transformation from a utm mapping projection to ellipsoidal coordinates
OUT=itrstrafo(IN,FrameIn,Epoc... ITRSTRAFO performs 3D-transformation of global point coordinate and velocity information between
PRO=ell2lambertcc(ELL,sys,UND... ELL2lambertcc performs transformation from ellipsoidal coordinates to a conic Lambert mapping projection
PRO=ell2tm(ELL,sys,L0,UND,Fil... ELL2TM performs transformation from ellipsoidal coordinates to a transverse mercator mapping projection
PRO=ell2utm(ELL,ell,format,fi... ELL2UTM performs transformation from ellipsoidal coordinates to a utm mapping projection
[xy,p]=d2projectivetrafo(XY,p... D2PROJECTIVETRAFO performs a projective 2D-transformation with 8 parameters in either transformation
readntv2 (filename, SignConve... READNTV2 reads a NTv2 transformation set from ASCII file
u=rescorr(XYZ,P,tr,mode,varar... RESCORR calculates residual corrections of a set of transformed points
xy=d2affinetrafo(XY,p,dir,Fil... D2AFFINETRAFO performs an affine 2D-transformation with 6 parameters in either transformation direction
xy=d2trafo(XY,p,dir,FileOut) D2TRAFO performs 2D-transformation with 4 parameters in either transformation direction
xy=d3projectivetrafo(XYZ,p,Fi... D3PROJECTIVETRAFO performs a projective transformation with 11 parameters from 3D space to plane
xyz=d3affinetrafo(XYZ,p,dir,F... D3AFFINETRAFO performs an affine 3D-transformation with 12 parameters in either transformation direction
xyz=d3trafo(XYZ,p,O,dir,FileO... D3TRAFO performs 3D-transformation with 7 or 10 parameters (at arbitrary rotation center)
z=d1trafo(Z,p,dir,FileOut) D1TRAFO performs 1D-transformation with 2 parameters in either transformation direction
Contents.m
Ellipsoids.m
Projections.m
Trafo_ITRF.m
Transformations.m
deg2dms.m
dms2deg.m
helmert1d.m
helmert2d.m
helmert3d.m
helmertaffine2d.m
helmertaffine3d.m
helmertprojective2d.m
helmertprojective3d.m
ntv2trafo.m
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Geodetic Transformations Toolbox

by Peter Wasmeier

19 Jan 2006 (Updated 07 May 2013)

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 tu 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

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.

Required Products

MATLAB

MATLAB release

MATLAB 7.5 (R2007b)

Tags for This File
Everyone's Tags	affine(2), cartesian coordinates(3), computing 3d conformal tranformation parameters, ellipsoidal coordinates(2), etrf, etrs(2), gnss, gps(2), helmert(3), itrf, itrs, lambert(2), ntv2, projective, similarity, transformation(2), utm, very nice
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Comments and Ratings (12)
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.
11 Apr 2007	I was notified of a weak coded while condition which might cause the loop not to terminate although the criteria is already fulfilled. I changed that - results stay unchanged in any case.
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.

Highlights from Geodetic Transformations Toolbox

Geodetic Transformations Toolbox

Highlights from
Geodetic Transformations Toolbox