Abstract
DLT has gained a wide popularity in close range photogrammetry, computer vision, robotics, and biomechanics. The wide popularity of the DLT is due to the linear formulation of the relationship between image and object space coordinates. This paper aims to develop a simple mathematical model in the form of self calibration direct linear transformation for aerial photogrammetry applications. Software based on the derived mathematical model has been developed and tested using mathematical photogrammetric data. The effects of block size, number and location of control points, and random and lens distortion errors on self calibration block adjustments using the derived mathematical model and collinearity equations have been studied. It was found that the accuracy of the results of self calibration block adjustment using the derived mathematical model is, to some extent, comparable to the results with collinearity model. The developed mathematical model widens the application areas of DLT method to include aerial photogrammetry applications especially when the camera interior and exterior orientations are unknown.
Highlights
In topographical photogrammetry, photogrammetrists think most naturally in terms of models produced by pairs of photographs
Undoubtedly the most flexible approach to block formation and adjustment and to photogrammetry in general is through the use of the bundles of rays produced by individual photographs
Occurrence in close range photogrammetry. The steps for this method are based on space resection for obtaining the camera exterior orientation parameters for each photo followed by space intersection for obtaining the object space coordinates of new points, points rather than control points
Summary
Photogrammetrists think most naturally in terms of models produced by pairs of photographs. The steps for this method are based on space resection for obtaining the camera exterior orientation parameters for each photo followed by space intersection for obtaining the object space coordinates of new points, points rather than control points. This, generally, occurs in aerial photogrammetry applications This method is based on an approach similar to analogical procedure for determining the initial values of object space coordinates of pass and/or tie points and using these to determine the initial values of exterior orientation parameters. For starting the iterative solution of Equation (13) approximate values of unknowns should be known These unknowns are the object space coordinates of new points and the MDLT parameters for each photo. Computation of the initial values of object space coordinates of points, MDLT parameters and camera interior and exterior orientations. The solution is repeated till the difference in the values of camera focal length can be neglected
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