The object of research in the presented work is the influence of photogrammetric and internal refractions on the definition of linear elements of external orientation. At the conclusion of photogrammetry formulas it is supposed that the light beam is a straight line from the object to the center of the projection. In fact a beam of light passing through the atmosphere layers of various density is bent. This bend is called refraction. The determination of the elements of internal and external orientation and corrections to the coordinates of the points of the image by control points is based upon a decision of the spatial photogrammetric back-sight. Compared to the rigorous method a simpler method for solving the spatial photogrammetric back-sight is suggested which validity check performed by the modeling method showed its rather high accuracy.

Keywords: photogrammetry, back-sight, spatial photogrammetric back-sight, refraction, elements of internal and external orientation, control points, modeling method

The research that results from the work presented is the means of transforming space imagery. A transformation method based on the use of projective geometry methods is proposed. A completed study of the proposed method for mathematical image and terrain models showed a high degree of accuracy and a number of advantages over traditional image transformations

Keywords: Photogrammetry, transformations, cosmic images, projective geometry

Relative orientation of the aerial views is the fundamental task of the photogrammetry. The final results depends on the accuracy and reliability of its solving, characterizing the spatial position of the photographed object (area).
Two groups of the elements of the relative orientation found their industrial application in our country (then ERO). However they don’t use up all the possible combinations of the corner pieces res ipsa loquitur and also between the photogrammes. Moreover it is known that in both systems of the relative orientation of the aerial views (base and linear-angular) visible correlation of the mistakes of the ERO are found, which leads to the additional of the route trough model within the coordinate space XY and XZ.
One of the possible alternative variants of the application within the group ERO of another corner piece is examined in this article. Five elements of the relative orientation of the aerial views are presented on the left view of the stereo mate as two angles: transverse inclination angle ω1 and longitudinal slope α1, and two angles (α1 and χ2) on the right and the azimuth of the direction of the basis of the design τ. Such a diviosn of the ERO has reduced much the correlation between the mistakes of the angle elements. However other variants are possible (e.g., τ, υ, χ1, α2 and ω2).
To calculate the photogrammetry co-ordinates of the general formula of the straight photogrammetry mark is proposed, which can be used both for the aerial shots in any direction and for the shooting from the points of the earth surface.
Relative orientation of the aerial views is the fundamental task of the photogrammetry. The final results depends on the accuracy and reliability of its solving, characterizing the spatial position of the photographed object (area).
Two groups of the elements of the relative orientation found their industrial application in our country (then ERO). However they don’t use up all the possible combinations of the corner pieces res ipsa loquitur and also between the photogrammes. Moreover it is known that in both systems of the relative orientation of the aerial views (base and linear-angular) visible correlation of the mistakes of the ERO are found, which leads to the additional of the route trough model within the coordinate space XY and XZ.
One of the possible alternative variants of the application within the group ERO of another corner piece is examined in this article. Five elements of the relative orientation of the aerial views are presented on the left view of the stereo mate as two angles: transverse inclination angle ω1 and longitudinal slope α1, and two angles (α1 and χ2) on the right and the azimuth of the direction of the basis of the design τ. Such a diviosn of the ERO has reduced much the correlation between the mistakes of the angle elements. However other variants are possible (e.g., τ, ν, χ1, α2 and ω2).
To calculate the photogrammetry co-ordinates of the general formula of the straight photogrammetry mark is proposed, which can be used both for the aerial shots in any direction and for the shooting from the points of the earth surface.  

Keywords: Key words: photogrammetry, elements of the relative orientation, complanarity, alternative group of the elements, straight photogrammetry march, photogrammetry co-ordinates.

The paper proposes a new concept of benchmark system on the railways for the control of the geometric parameters of paths. It can be used for the preparation of projects of reconstruction and repair of roads.

Keywords: reference system, the rotation angle slopes, lateral leveling, fiducially marks.