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2.1.1.2 Rotation matrix for terrestrial orientation

ϕ corresponds to the horizontal angle, counting anti-clockwise from the x-axis. ω is the elevation angle. It is positive upwards, starting at the horizontal. κ rotates around the exposure axis, positive clockwise when looking in the exposure direction. Thus combinations with measured exposure directions are easily possible for terrestrial photos.

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Fig. 2.1.1-3 Coordinate system and rotational angles of a terrestrial photograph
0 is the projection centre Equation preview

Manual figure

Fig. 2.1.1-4 Individual rotations of a terrestrial photograph

The matrix R has the following form:

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(2.1.1/5)
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The image vector in the terrestrial case is Equation preview in equation (2.1.1/1).

The original rotation angles ϕ ω κ can be recalculated from the elements of the rotation matrix here as follows:

Equation preview ; Equation preview ; Equation preview