In one embodiment of the subject matter described herein a system is provided. The system includes a location determining circuit configured to acquire position information of a vehicle system moving along a route. The system includes a controller circuit having one or more processors. The controller circuit is configured to calculate curvatures of the route, based at least in part on the position information, to form a curvature waveform. The controller circuit is further configured to generate a route map based on the curvature waveform.

In one embodiment of the subject matter described herein a system is provided. The system includes a location determining circuit configured to acquire position information of a vehicle system moving along a route. The system includes a controller circuit having one or more processors. The controller circuit is configured to calculate curvatures of the route, based at least in part on the position information, to form a curvature waveform. The controller circuit is further configured to generate a route map based on the curvature waveform.

A system includes a location determining circuit configured to acquire position information of a vehicle system moving along a route. The system also includes a controller circuit having one or more processors. The controller circuit is configured to calculate curvatures of the route, based at least in part on the position information, to form a curvature waveform. The controller circuit is further configured to generate a route map based on the curvature waveform.

A system includes a location determining circuit configured to acquire position information of a vehicle system moving along a route. The system also includes a controller circuit having one or more processors. The controller circuit is configured to calculate curvatures of the route, based at least in part on the position information, to form a curvature waveform. The controller circuit is further configured to generate a route map based on the curvature waveform.

In one embodiment of the subject matter described herein a system is provided. The system includes a location determining circuit configured to acquire position information of a vehicle system moving along a route. The system includes a controller circuit having one or more processors. The controller circuit is configured to calculate curvatures of the route, based at least in part on the position information, to form a curvature waveform. The controller circuit is further configured to generate a route map based on the curvature waveform.

In one embodiment of the subject matter described herein a system is provided. The system includes a location determining circuit configured to acquire position information of a vehicle system moving along a route. The system includes a controller circuit having one or more processors. The controller circuit is configured to calculate curvatures of the route, based at least in part on the position information, to form a curvature waveform. The controller circuit is further configured to generate a route map based on the curvature waveform.

An educational ruler is a protractor, where the protractor can draw and measure angles. The educational ruler includes a planar disk having a semicircular circumference and labeled in scales along the semicircular circumference; a straight line edge connecting two edges of the semicircular circumference; a through hole on the planar disk; a first edge and a second edge extending from the through hole to the straight line edge; a third edge and a fourth edge extending from the semicircular circumference to the straight line edge. The first edge of the through hole of the educational ruler and the second edge of the through hole of the educational ruler intersect at 90 degrees scale of the planar disk to form the first right angle, and the included angle of the first edge of the through hole of the educational ruler and the straight line edge of the educational ruler is 45 degrees.

A system includes a location determining circuit configured to acquire position information of a vehicle system moving along a route. The system also includes a controller circuit having one or more processors. The controller circuit is configured to calculate curvatures of the route, based at least in part on the position information, to form a curvature waveform. The controller circuit is further configured to generate a route map based on the curvature waveform.

A system includes a location determining circuit configured to acquire position information of a vehicle system moving along a route. The system also includes a controller circuit having one or more processors. The controller circuit is configured to calculate curvatures of the route, based at least in part on the position information, to form a curvature waveform. The controller circuit is further configured to generate a route map based on the curvature waveform.