Abstract

Summary Instruments of the Stereotop-type are based on approximate solutions. Their approximations as compared with exact solutions, cause the height and situation errors, put forth in this article. The derived formulas and diagrams should serve to enable in practice (knowing height differences in the terrain, tilt, etc.) an estimation of the maximum errors to be expected; inversely they can serve, if certain accuracy requirements are specified, to determine the limits of height differences and tilt. The derivations show that under normal circumstances and with fairly large differences in height in each model the errors in a single photo pair can have a considerable value. Results within the tolerances usual for medium scale topographic mapping may only be expected for fairly flat terrain, or when using photographs with comparatively small tilt values. A general use of such instruments in all cases, however, is only possible either with rectified photographs or gyroscopically controlled cameras. For the rectification a precision rectification instrument would have to be constructed. This, without permitting any change in the photo-scale, would allow a rectification with the values obtained either from an aerotriangulation, gyroscope registration or a horizon photograph.

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