Application of the method of rectangular coordinates to the solution of some problems of photogrammetry

Abstract

In this paper, the solution to the problem under consideration is shown on the basis of the mutual connection between the methods of central and parallel projection. This mutual connection can be established by the method of rectangular coordinates in application to the named projection methods. The method of rectangular coordinates quite definitely establishes a mutual connection between the different projection methods — central and rectangular. The mutual connection allows, in matters of transforming central projections into rectangular ones, to use uniform simple relationships that take place when projecting the main geometric image — a point. The use of these relationships is equally applicable to any case of the position of the plane of the picture relative to the coordinate system, which can be considered as a completely definite pattern. The transformation of central projections into rectangular ones can be carried out when solving photogrammetry problems related to determining the shape, size and position in space of objects from their photographs on a plane occupying any position relative to the surface of the earth.

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