Protect line endpoints?

[MattReimer]

Hey. Love your module but I'm having a problem with my endpoints moving around:

The yellow lines represent separate LineString objects from the red line. You can see that when I run your smoothing algorithm the endpoint moves.

Is this something I'm doing wrong?

[cayetanobv]

Hi @MattReimer ,

Thanks for use GeoSmoothing. Output endpoints should be the same that input endpoints. I tested a lot (... but certainly not enough) and I did not found a use case when this asumption fails. Could you attach to this issue or send me by email the Linestring of your example (WTK representation or Shapefile) to see what is failing?

Thanks again!

[MattReimer]

first, a little change I had to make:

    def smoothObj(self, geoObj):
        return self.__smoothGeom(geoObj)

This was so I can use it on a per-object basis and not just through files. I've forked the project so I'll go through the pull-request mechanism if we can figure this out. I'm happy to help you improve this or test it since it's so useful!

The problem I'm seeing seems to be related to larger values of spl_smpar

import shapely
import matplotlib.pyplot as plt

from geosmoothing.geosmoothing import GeoSmoothing


linewkt = 'LINESTRING (470094.2973832478164695 5118813.8709880253300071, 470096.9752980942721479 5118814.6954176332801580, 470097.4422798639861867 5118814.4778696941211820, 470097.5662393854581751 5118814.5265956781804562, 470097.6180909028626047 5118814.5491494033485651, 470098.1905098260613158 5118814.9649004070088267, 470098.8066079259151593 5118815.4633529139682651, 470098.8194906431017444 5118815.4745216080918908, 470098.8805639947531745 5118815.4878381090238690, 470099.4784352184506133 5118815.5875204382464290, 470099.6834050531033427 5118815.6329526202753186, 470100.0602530135656707 5118815.7031131004914641, 470100.1544296219944954 5118815.7534984750673175, 470100.2864653847645968 5118815.8337268223986030, 470101.0584877016372047 5118816.2660199832171202, 470101.0595161573146470 5118816.2666755374521017, 470101.2992030436289497 5118816.3827558932825923, 470101.3473046002327465 5118816.4214515881612897, 470101.5960170511389151 5118816.5912749907001853, 470101.6998468230594881 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5118902.4355207979679108, 470253.5354991141357459 5118902.4453980829566717, 470253.7492896178155206 5118902.5217534424737096, 470253.7942387752700597 5118902.5318710952997208, 470254.0597238477785140 5118902.9909203639253974, 470254.2649518639664166 5118903.4264864912256598, 470254.4327231264906004 5118903.6760592758655548, 470255.7409572337637655 5118903.8294296907261014)'
line = shapely.wkt.loads(linewkt)

linespliner = GeoSmoothing(spl_smpar=5, spl_order=3)
smooth = linespliner.smoothObj(line)

# --------------------------------------------------------
# Do a little show and tell with plotting and whatnot
# --------------------------------------------------------
fig = plt.figure(1, figsize=(10, 10))
ax = fig.gca()

ax.plot(*line.xy, color='#FF0000', linewidth=1, alpha=0.5)
ax.plot(*smooth.xy, color='#00FF00', linewidth=1, alpha=0.5)

plt.autoscale(enable=True)
plt.show()

I think a lot of this is because I haven't taken the time to understand how splev and splprep work but I'm hoping between the two of us we can figure this out.

[MattReimer]

I did a bit more testing. I tried combinations for s=0...10 and n=1...3

It seems like the only time the start and endpoint are exactly the same are when you have s=0, order=1.

[cayetanobv]

Hi @MattReimer ,

Start and endpoint have exactly the same value when spl_smpar=0, spl_order=1. But you can control more smoothing in output geometry increasing the degree of spline (spl_order=3 is a cubic spline). If your coordinate system is UTM (meters), the error is so small that it should not be taken into account (1e-10 meters). Changing spl_smart is not a good idea if you want to preserve original position of endpoints. Take into account that I am not precomputing a weighted matrix to use with the smoothing condition parameter (spl_smpar).

In any case, I preferred (for geospatial use cases) to keep default values of spl_smpar=0 and spl_order=2 because they avoid problems of excessive detachment from reality. You can see screenshot with one of your endpoints computed with quadratic spline (red) and cubic spline (purple) - original line is light blue:

I would happily accept improvement proposals in the library via PR.

Thaks for all!

Cayetano Benavent

[MattReimer]

This makes total sense. I was willing to accept deviation from the vertices for spl_smpar > 0 as long as the start and end points matched up but I see now that it is more complicated.

I'd like to know more about the weighted smoothing matrix so I'll look into that the next chance I get. Thanks for your attention to this. I'll let you know when I have something to show.

[cayetanobv]

@MattReimer thank you very much for your interest. I'll keep open this issue in case something new comes up.