Abstract

Abstract. This paper present a method for close range photogrammetry based on an camera positioning scheme in which two cameras capture an equal portion of an object at the same scale, but have different focal lengths and camera-to-object distances. This scheme is alternative to the stereoscopic scheme and is associated with a system of equations which permits one to calculate first the relief displacement of points on a photograph and then their relief relative to a reference plane. The obtained relief and relief displacement values can be used to produce low-cost orthophotographs by using software for image processing, which doesn’t need to be dedicated, but has to provide measurement and calculation functions. Moreover, this method also allows one to obtain three-dimensional coordinates, through further calculations.

Highlights

  • In a perspective view, relief displacement is a shift that occurs when a point placed at some distance from a reference plane is projected by an inclined ray

  • This means that it is necessary to examine the morphology of an object, before relief displacement can be used for surveying surfaces

  • The described method overcomes the above problem by using a system of equations and a camera positioning scheme which permits the calculation of the relief displacement of a point without previously knowing its relief

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Summary

INTRODUCTION

Relief displacement is a shift that occurs when a point placed at some distance from a reference plane is projected by an inclined ray. The described method overcomes the above problem by using a system of equations and a camera positioning scheme which permits the calculation of the relief displacement of a point without previously knowing its relief. Based on this information, it is possible to determine the relief of a point relative to a reference plane and subsequently calculate threedimensional coordinates and produce orthophotographs, through simple calculations and non-dedicated software. It is possible to determine the relief of a point relative to a reference plane and subsequently calculate threedimensional coordinates and produce orthophotographs, through simple calculations and non-dedicated software This can be an effective alternative to the stereoscopic scheme when performing a low-cost survey in close-range photogrammetry, especially if usual procedures are not applicable.

Traditional camera positioning schemes
Alternative camera positioning scheme
Traditional calculation of relief displacement
Alternative calculations of relief displacement and relief
Some considerations
Calculation of coordinates
CONCLUSIONS
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