1 / 14

Changing Reference Frame

Changing Reference Frame. Frank Gielsdorf technet GmbH Berlin. Definition of Reference Frames. Situation in 1990. Were is the Problem?. Surveying and Navigation with GPS!. Example: German Railways. Positioning System for Trains. Required Positional Accuracy: 50cm. Necessary:

aldon
Download Presentation

Changing Reference Frame

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Changing Reference Frame Frank Gielsdorf technet GmbH Berlin

  2. Definition of Reference Frames

  3. Situation in 1990

  4. Were is the Problem? Surveying and Navigation with GPS! Example: German Railways Positioning System for Trains Required Positional Accuracy: 50cm Necessary: Data base of the rail geometry with a unique spatial reference frame! Train with GPS Antenna

  5. Reference Frames Old: German Main Triangle Network (DHDN) datum point: TP Rauenberg reference ellipsoid: Bessel ( a = 6 377 397.155m , f = 1:299.1528 ) New: European Terrestrial Reference System 1989 (ETRS89) datum points: 23 laser- und VLBI positions in Europe reference ellipsoid: Geodetic Reference System 1980 (GRS80) ( a = 6 378 137m , f = 1:298.2572 )

  6. Projection UTM (Universal Transversal Mercator) Gauss-Krueger m = cosh(y/R) m = cosh(y/R)*0,9996

  7. 3D Datum Transformation (X, Y, h) DHDN / Gauss-Krueger Conversion Prerequisite: identical points (X, Y, Z) DHDN / geocentric Datum Transformation (adjustment problem) (X, Y, Z) ETRS89 / geocentric Conversion (X, Y, h) ETRS89 / UTM

  8. Adjustment Approach Functional Model

  9. Transformation Parameter NRW Quelle: Landesvermessungsamt NRW

  10. 2D Datum Transformation The analytical function of an complex number impart a conformal mapping. Special case: Helmert-Transformation

  11. Example North Rhine-Westphalia two meridional zones 155 TP 1. order degree 3 resp. 4

  12. Problem: Remaining Discrepancies • Remaining Discrepancies : • Residuals of coordinate observations • Causes: • Random deviations  adjustment calculation • Systematic influences  model extension • Solution: • Extension of the mapping rule

  13. Extension of the Mapping Rule Identical Identical Points Points DHDN ETRS89 Calculation of Transformation Parameters • Step • Transformation Transformation Parameters + Residuals New Points DHDN Transformation of New Points All Points in ETRS89 + Residuals Artificial Observations, Geometrical Constraints Adjustment 2. Step Neighborhood Fitting All Points in ETRS89

  14. Subproject from Hamburg Points: 6973 Reference Points: 36 Point Identities: 38 Triangle Sides: 20883

More Related