**-t**- Use transversal line algorithm
**-m**- Use approximate median instead of mean
**--overwrite**- Allow output files to overwrite existing files
**--help**- Print usage summary
**--verbose**- Verbose module output
**--quiet**- Quiet module output
**--ui**- Force launching GUI dialog

**input**=*name***[required]**- Name of input vector map
- Or data source for direct OGR access
**output**=*name***[required]**- Name for output vector map
**range**=*float*- Distance (in map units) of search radius
**refline**=*integer*- Category of the line to use as initial reference
**vertices**=*integer*- Number of vertices for center line
- Default:
*20*

Two algorithms are proposed in the module, both based on the idea of
using a reference line, creating a series of reference points along
this line and then finding the coordinates of corresponding points on
all the input lines. The default algorithm uses closest distance to
identify corresponding points, while the second algorithm (**t**
flag) draws perpendicular transversals at the reference points and uses
the intersections of these transversals with the other lines as
corresponding points.

In detail, the default algorithm goes as follows:

- choose one of the input lines as reference line
- create a series of points at regular intervals on this line
- for each of these points:
- find the closest point on each of the input lines
- get the coordinates of those points
- calculate the mean or (mathematical) median of these coordinates

- use the calculated means (or medians) as vertices of the new line

The transversals algorithm goes as follows:

- choose one of the input lines as reference line
- create a series of perpendicular (transversal) lines at regular intervals on this line
- for each of these transversals:
- find the intersection points of the transversal with all input lines
- get the coordinates of those points
- calculate the mean or (mathematical) median of these coordinates

- use the calculated means (or medians) as vertices of the new line

The user can change three parameters in the algorithms: the choice
of the reference line (**refline**), the number of vertices to
calculate (**vertices**) and the search range (**range**), i.e.
for the default algorithm the maximum distance of corresponding points
from the reference line and for the second algorithm the length of the
transversals on each side of the reference line.

If no reference line is given the module choses the reference line by determining the mean distance of the midpoint of each line to the midpoints of all other lines. The line with the lowest mean distance is then chosen as the reference line. If no range is given, the module uses the mean of the above mean distances as the range for the transversals algorithm, and an unlimited search range for the default algorithm.

If the **m** flag is set and there are more than 2 lines in the
input file, the module calculates the mathematical median of the x and
of the y coordinates.

The median in this module is **not** the geometric median, but
the simple mathematical median respectively of the x and the y
coordinates.

The transversals algorithm is very sensitive to the range parameter. The user might want to play around with this parameter to find the best value.

Increasing the number of vertices should have a smoothing effect on the resulting line, but in the case of the transversals algorithm it can possibly lead to more instability.

v.centerline input=flightpaths output=center_line_mean v.centerline -m input=flightpaths output=center_line_median v.centerline input=flightpaths output=center_line_mean_5000 range=5000 v.centerline -t input=flightpaths output=center_line_mean_t v.centerline -t input=flightpaths output=center_line_mean_t_8000 range=8000

Different centerlines resulting from variations in the parameters and flags

v.centerline input=river output=center_line v.centerline -t input=river output=river_center_t

Mean central line (median only makes sense if number of lines > 2) for distance (red) and transversals (blue) algorithms, the latter with automatically determined range

Similar addons:

*Last changed: $Date: 2015-11-16 09:14:58 +0100 (Mon, 16 Nov 2015) $*

Available at: v.centerline source code (history)

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