PRACTICAL TESTS OF THE THEORETICAL ACCURACY OF AERIAL TRIANGULATION

Abstract

The effectiveness of a method for pr dicting the accuracy of aerial triangulation by means of a theoretical analysis after a numerical correction procedure is tested. The method used involves the summation formulas of aerial triangulation, the measured residual y-parallaxes in the individual models, elevation discrepancies in the scale transfer points, and general satistical procedures. The parallaxes and elevations were first corrected for known and specially determined regular (systematic) errors of the fundamental operations (the image coordinates of the photographs, the projection devices of the instrument, and the operator). The accuracy of the corrections were determined as standard errors with the aid of error propagation formulas and the basic standard errors of unit weight. The discrepancies between the final photogrammetric coordinates and the corresponding (true) geodetic coordinates in check points were determined and compared with the theoretically predicted values of the standard errors. Statistical methods were finally applied for a test of the significance of the deviations between theory and practice. The agreement between theory and practice was found to be so good in this experiment that the basic theory can be accepted. It is also concluded that further experiments are necessary, particularly for investigation of the fundamental operations and the sources of the errors and discrepancies. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 31, 1962
Accession Number
AD0288296

Entities

People

  • K. Bertil
  • P. Hallert

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Agreements
  • Coordinate Systems
  • Elevation
  • Errors
  • Images
  • Photographic Materials
  • Photographs
  • Photography
  • Residuals
  • Standards
  • Triangulation
  • World Geodetic System

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Geodesy