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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
deg2dms.m
dms2deg.m
helmert1d.m
helmert2d.m
helmert3d.m
helmertaffine2d.m
helmertaffine3d.m
helmertprojective2d.m
helmertprojective3d.m
ntv2trafo.m
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
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Geodetic Transformations Toolbox

by Peter Wasmeier

19 Jan 2006 (Updated 22 Dec 2011)

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, cartesian coordinates(2), ellipsoidal coordinates, etrf, etrs(2), gnss, gps(2), helmert(3), itrf, itrs, lambert, ntv2, projective, similarity, transformation(2), utm
Tags I've Applied
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Comments and Ratings (6)
21 Jan 2006	amir hossein sadeghi	for help me
19 Apr 2006	Ingolf Storbult	Great tools, but the projection.mat file seems to be corrupted - or is that just my download?
02 May 2006	J J
09 Jan 2007	renoald Tang	i think it is good
29 Apr 2009	Aki	Genau das habe ich gesucht. Grossartig!
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?

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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.

Tag Activity for this File
Tag	Applied By	Date/Time
ellipsoidal coordinates	Peter Wasmeier	22 Oct 2008 08:12:55
cartesian coordinates	Peter Wasmeier	22 Oct 2008 08:12:55
transformation	Peter Wasmeier	22 Oct 2008 08:12:55
gps	Peter Wasmeier	14 Apr 2009 09:18:42
helmert	Peter Wasmeier	14 Apr 2009 09:18:42
helmert	fathul ilmi	04 Jul 2009 00:14:42
gps	kuoping	29 Jun 2010 07:21:32
cartesian coordinates	Philipp	16 Aug 2011 06:55:28
gnss	Peter Wasmeier	07 Dec 2011 10:29:39
itrs	Peter Wasmeier	07 Dec 2011 10:29:39
etrs	Peter Wasmeier	07 Dec 2011 10:29:39
ntv2	Peter Wasmeier	07 Dec 2011 10:29:39
etrf	Peter Wasmeier	07 Dec 2011 10:29:39
utm	Peter Wasmeier	07 Dec 2011 10:29:39
lambert	Peter Wasmeier	07 Dec 2011 10:29:39
itrf	Peter Wasmeier	07 Dec 2011 10:29:39
etrs	Giuliano Langella	17 Dec 2011 03:28:45
similarity	Peter Wasmeier	22 Dec 2011 12:22:28
affine	Peter Wasmeier	22 Dec 2011 12:22:28
projective	Peter Wasmeier	22 Dec 2011 12:22:28
transformation	Alvand	12 Jan 2012 09:58:43
helmert	Alvand	12 Jan 2012 09:58:48

Highlights from Geodetic Transformations Toolbox

Geodetic Transformations Toolbox

Highlights from
Geodetic Transformations Toolbox