Transformations.m

% TRANSFORMATIONS.MAT
%
% Mat-File containing standard parameter sets for 10-parameter similarity 3D transformations  
% (datum transformations) to be used with d3trafo or for 12-parameter affine transformations used
% with d3affinetrafo.
%
% This mat-File contains parameters for
%  - similarity transformations: 1x10 double variables containing the 7 parameters 
%    [dx dy dz ex ey ez s] with
%       dx,dy,dz = translations [m]
%       ex,ey,ez = rotations in [rad]
%              s = scale factor
%    and the rotation center [x0 y0 z0] in [m]
%    For Bursa-Wolf type (geocentric rotation), the last three are simply set to [0 0 0].
%
%  - affine transformations: 1x12 double variables containing the 12 parameters
%    [x0 y0 z0 a1 a2 a3 a4 a5 a6 a7 a8 a9]
%
% When predefined parameter sets get used, the functions needs to check whether the number of
% parameters is correct, i.e. the parameter set is qualified for the desired transformation type.
%
% Standard parameter sets mostly are used to transform WGS84 coordinates to a local datum (and back),
% but may also be used to transform local datums to each other (e.g. in border areas).
% Please note, that accuracy is limited with the use of standard parameters (usually from 1 - 25 m,
% depending on the areal extent and determination quality); especially when there is only a shift 
% information and no rotation or scaling to be appended.
% Of course, you may add your self-determined (high-precision) parameter sets into this mat-file for
% later use. See helmert3d and helmertaffine3d for details.
%
% By now the following parameter sets are defined here (all being similarity transformations):
% 
% wgs84_to_dhdn         (Potsdam datum, Germany)
% wgs84_to_s4283        (S42/83 datum, former GDR)
% wgs84_to_mgi          (Austria)
% wgs84_to_lv95         (Switzerland)
% wgs84_to_osgb36       (Great Britain)
% lb72_to_dhdn          (Belgium datum to Potsdam datum)
% rdnl_to_dhdn          (Dutch datum to Potsdam datum)
%
%
% Feel free to add your own definitions. There are many pages across the internet where standard
% parameter sets can be found, e.g. http://www.globalmapper.com/helpv9/datum_list.htm

% Author:
% Peter Wasmeier, Technical University of Munich
% [e-mail]
% Jan 18, 2006