Free stationing
In surveying, free stationing is a method of determining a location of one unknown point in relation to known points. There is a zero point of reference called a total station. The instrument can be freely positioned so that all survey points are at a suitable sight from the instrument. When setting up the total station on a known point, it is often not possible to see all survey points of interest. When performing a resection with the total station, bearings and distances are measured to at least two known points of a control network. With use of a handheld computer, recorded data can be related to local polar coordinates, defined by the horizontal circle of the total station. By a geometric transformation, these polar coordinates are transformed to the coordinate system of the control network. Error can be distributed by least squares adjustment. Upon completion of observations and calculations, a coordinate is produced, and the position and orientation of the total station in relation to where the control network is established.
Comparison of methods
- Angular resection and triangulation: only bearings are measured to the known points.
- Trilateration: only distances are measured to the known points.
- Free stationing and triangulateration: both bearings and distances are measured to the known points.
Naming
Because bearings and distances are measured in a full resection, the result may have a different mathematical solution. This method has different names in other languages, e.g. in German: Freie Standpunktwahl.Naming is also regulated by the German Institute for Standardization DIN 18 709.
Different mathematical solution
[Image:Examples of Polar Coordinates.svg|left|thumb|250px|Points in the polar coordinate system with pole O and polar axis L. In green, the point with radial coordinate 3 and angular coordinate 60 degrees or (3,60°). In blue, the point (4,210°).]By measuring bearings and distances, local polar coordinates are recorded. The orientation of this local polar coordinate system is defined by the 0° horizontal circle of the total station. The pole of this local polar coordinate system is the vertical axis of the total stations. The polar coordinates with the pole are transformed using surveying software on a data collector to the Cartesian coordinates of the known points. The coordinates for the position of the total station are then calculated.
In a resection measuring bearings only, there can be a problem with an infinite number of solutions known as a "danger circle", or "inscribed angle theorem".
Back-sight points
The back-sight points of the control network should cover and surround the stationing site. The position of the total station is not part of the area. This is the area where you want to measure with this station setup. Topographic points or stakeout points should not be measured outside this area. If measured outside this area, the errors in orientation will be extrapolated instead of being interpolated.While it is possible to use only two known control points in a resection, it is recommended to use three control points. There is no redundancy for orientation, using two points only.
When performing a resection on more than 4 points, diminishing returns are achieved in the returned results.
Advantages
The surveyor may freely set a station point:- Where there is best visibility to all points that must be staked out or recorded
- Where there are no obstructions or traffic
- Where there is the highest safety for the operator and the instrument