Picket

Picket - a point object defining spatial position on a route of points by measurements.

The system of linear coordinates defined by a route is used for search of a location and calculating coordinates of pickets by measurements on the route. To determine the location of the picket on the route, a search of the metrics segment (i, i+1) is carried out on which the picket is located.

Mi<MP<Mi+1

Calculation of planned coordinates of picket, at known measurement, is made according to the formulas:

XP   = Xi + (Xi+1 - Xi) * (MP - Mi)/(Mi+1 - Mi),

YP   = Yi + (Yi+1 - Yi) * (MP - Mi)/(Mi+1 - Mi)

XPYPMP - coordinates of the picket

XiYiMi - coordinates of the i-th point of the route metric

Xi+1Yi+1Mi+1 - coordinates of the i+1st point of the route metric