Distances can be computed between trajectories as well as between trajectories and other geometry objects. The implemented distance measures are:
import pandas as pd
import geopandas as gpd
import movingpandas as mpd
import shapely as shp
import hvplot.pandas
import matplotlib.pyplot as plt
from geopandas import GeoDataFrame, read_file
from shapely.geometry import Point, LineString, Polygon
from datetime import datetime, timedelta
from holoviews import opts, dim
import warnings
warnings.filterwarnings('ignore')
plot_defaults = {'linewidth':5, 'capstyle':'round', 'figsize':(9,3), 'legend':True}
opts.defaults(opts.Overlay(active_tools=['wheel_zoom']))
hvplot_defaults = {'tiles':'CartoLight', 'frame_height':320, 'frame_width':320, 'cmap':'Viridis', 'colorbar':True}
mpd.show_versions()
df = pd.DataFrame([
{'geometry':Point(0,0), 't':datetime(2018,1,1,12,0,0)},
{'geometry':Point(6,0), 't':datetime(2018,1,1,12,6,0)},
{'geometry':Point(6,6), 't':datetime(2018,1,1,12,10,0)},
{'geometry':Point(9,9), 't':datetime(2018,1,1,12,15,0)}
]).set_index('t')
geo_df = GeoDataFrame(df, crs=31256)
toy_traj = mpd.Trajectory(geo_df, 1)
toy_traj.df
df = pd.DataFrame([
{'geometry':Point(3,3), 't':datetime(2018,1,1,12,0,0)},
{'geometry':Point(3,9), 't':datetime(2018,1,1,12,6,0)},
{'geometry':Point(2,9), 't':datetime(2018,1,1,12,10,0)},
{'geometry':Point(0,7), 't':datetime(2018,1,1,12,15,0)}
]).set_index('t')
geo_df = GeoDataFrame(df, crs=31256)
toy_traj2 = mpd.Trajectory(geo_df, 1)
toy_traj2.df
ax = toy_traj.plot()
toy_traj2.plot(ax=ax, color='red')
print(f'Distance: {toy_traj.distance(toy_traj2)} meters')
print(f'Hausdorff distance: {toy_traj.hausdorff_distance(toy_traj2):.2f} meters')
print(f'Distance: {toy_traj.distance(toy_traj2, units="cm")} cm')
print(f'Hausdorff distance: {toy_traj.hausdorff_distance(toy_traj2, units="km"):.6f} km')
pt = Point(1, 5)
line = LineString([(3,3), (3,9)])
ax = toy_traj.plot()
gpd.GeoSeries(pt).plot(ax=ax, color='red')
gpd.GeoSeries(line).plot(ax=ax, color='red')
print(f'Distance: {toy_traj.distance(pt)}')
print(f'Hausdorff distance: {toy_traj.hausdorff_distance(pt):.2f}')
print(f'Distance: {toy_traj.distance(line)}')
print(f'Hausdorff distance: {toy_traj.hausdorff_distance(line)}')
print(f'Distance: {toy_traj.distance(line, units="cm")} cm')
print(f'Hausdorff distance: {toy_traj.hausdorff_distance(line, units="km"):.6f} km')