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Adjustment of 3D Net (ACN)

Prior to the complete spacial adjustment, both the level and the planimetric nets must be preprocessed and optionally adjusted. The 3D adjustment is comprised of both total station and electronic level measurements. The following observation types are picked in chronological order.

Slope distances

Included if both the horizontal distance and elevation difference were measured from total stations. If the horizontal distance was measured from a total station, but the elevation difference was measured using only a level, they are included as separate measurements.

Preprocessor

Observed slope distances are computed as

then, to find their TSDs, the partial derivatives of the function are computed:

Partial derivatives

Adjustment

The slope distance function is defined to return the distance in space between points and

Model matrix elements

Zenith angles

Similarly to the slope distances, included only if both planimetric and altimetric quantities were measured from total stations.

Preprocessor

Partial derivatives

Adjustment

The zenith angle function is defined to return the zenith angle between points and

Model matrix elements

NOTE

This implementation of the complete 3D adjustment is partially flawed, due to the fact that it does not account for cases where only a zenith angle or slope distance may have been measured between an instrument and a prism, which excludes valuable information from the adjustment.

Level lines

Typically only constructed from electronic level measurements, though in case TS measurements are included only in the 1D net, they might be averaged alongside them.

Preprocessor

The preprocessor averages all electronic level measurements according to their TSDs and includes any TS measured elevation differences, for whose points zenith angles were not computed.

Adjustment

Model matrix elements

Horizontal distances

Included unless a slope distance has been included between the points.

Preprocessor

The preprocessor uses data from PSD.

Adjustment

Model matrix elements

Horizontal angles

Added from each station according to its measured angular directions. If a station has measured directions, angles will be included, going in clockwise direction.

Preprocessor

The preprocessor uses data from PSD.

Adjustment

Model matrix elements

Control point coordinates

Optionally included in module options. Useful if the accuracy of the measurements is considered higher than that of the control points since it allows them to be moved slightly to fit the network better. Enabling this option is encouraged even for adjustments containing high class control points.

Preprocessor

Adjustment

Model matrix elements

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