12.07.2015 Views

Transformations and OSGM02 user guide - Leica Geosystems

Transformations and OSGM02 user guide - Leica Geosystems

Transformations and OSGM02 user guide - Leica Geosystems

SHOW MORE
SHOW LESS
  • No tags were found...

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Chapter 3Ordnance Survey transformations <strong>and</strong> <strong>OSGM02</strong> explainedThis chapter explains the algorithms that must be coded to implement the Ordnance Survey transformations (OSTN02<strong>and</strong> the OSi/OSNI polynomial) <strong>and</strong> <strong>OSGM02</strong>.OSTN02Transforming ETRS89 coordinates to OSGB36 National Grid: overviewTo transform an ETRS89 value to OSGB36, the ETRS89 easting <strong>and</strong> northing is first obtained using the algorithm,GRS80 ellipsoid parameters <strong>and</strong> National Grid projection parameters in appendix B. Within the kilometre square wherethe point falls, a bilinear interpolation is used to obtain the exact transformation value for the point from the values at thefour corners of the kilometre square. These values are added to the ETRS89 easting <strong>and</strong> northing to obtain the OSGB36values. The inverse transformation (OSGB36 to ETRS89) is accomplished by an iterative procedure.Calculating which data record to useTo find the record number corresponding to a given ETRS89 easting <strong>and</strong> northing, use the following algorithm:east_index = integer_part_of (easting/1 000)north_index = integer_part_of (northing/1 000)record_number = east_index + (north_index x 701) + 1<strong>Transformations</strong> <strong>and</strong> <strong>OSGM02</strong> <strong>user</strong> <strong>guide</strong> chapter 3v2.1 9/2002 © crown copyrightPage 18

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!