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Metrica_Viz.py
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Metrica_Viz.py
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#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
Created on Sun Apr 5 09:10:58 2020
Module for visualising Metrica tracking and event data
Data can be found at: https://github.com/metrica-sports/sample-data
UPDATE for tutorial 4: plot_pitchcontrol_for_event no longer requires 'xgrid' and 'ygrid' as inputs.
@author: Laurie Shaw (@EightyFivePoint)
"""
import matplotlib.pyplot as plt
import numpy as np
import matplotlib.animation as animation
import Metrica_IO as mio
def plot_pitch( field_dimen = (106.0,68.0), field_color ='green', linewidth=2, markersize=20):
""" plot_pitch
Plots a soccer pitch. All distance units converted to meters.
Parameters
-----------
field_dimen: (length, width) of field in meters. Default is (106,68)
field_color: color of field. options are {'green','white'}
linewidth : width of lines. default = 2
markersize : size of markers (e.g. penalty spot, centre spot, posts). default = 20
Returrns
-----------
fig,ax : figure and aixs objects (so that other data can be plotted onto the pitch)
"""
fig,ax = plt.subplots(figsize=(12,8)) # create a figure
# decide what color we want the field to be. Default is green, but can also choose white
if field_color=='green':
ax.set_facecolor('mediumseagreen')
lc = 'whitesmoke' # line color
pc = 'w' # 'spot' colors
elif field_color=='white':
lc = 'k'
pc = 'k'
# ALL DIMENSIONS IN m
border_dimen = (3,3) # include a border arround of the field of width 3m
meters_per_yard = 0.9144 # unit conversion from yards to meters
half_pitch_length = field_dimen[0]/2. # length of half pitch
half_pitch_width = field_dimen[1]/2. # width of half pitch
signs = [-1,1]
# Soccer field dimensions typically defined in yards, so we need to convert to meters
goal_line_width = 8*meters_per_yard
box_width = 20*meters_per_yard
box_length = 6*meters_per_yard
area_width = 44*meters_per_yard
area_length = 18*meters_per_yard
penalty_spot = 12*meters_per_yard
corner_radius = 1*meters_per_yard
D_length = 8*meters_per_yard
D_radius = 10*meters_per_yard
D_pos = 12*meters_per_yard
centre_circle_radius = 10*meters_per_yard
# plot half way line # center circle
ax.plot([0,0],[-half_pitch_width,half_pitch_width],lc,linewidth=linewidth)
ax.scatter(0.0,0.0,marker='o',facecolor=lc,linewidth=0,s=markersize)
y = np.linspace(-1,1,50)*centre_circle_radius
x = np.sqrt(centre_circle_radius**2-y**2)
ax.plot(x,y,lc,linewidth=linewidth)
ax.plot(-x,y,lc,linewidth=linewidth)
for s in signs: # plots each line seperately
# plot pitch boundary
ax.plot([-half_pitch_length,half_pitch_length],[s*half_pitch_width,s*half_pitch_width],lc,linewidth=linewidth)
ax.plot([s*half_pitch_length,s*half_pitch_length],[-half_pitch_width,half_pitch_width],lc,linewidth=linewidth)
# goal posts & line
ax.plot( [s*half_pitch_length,s*half_pitch_length],[-goal_line_width/2.,goal_line_width/2.],pc+'s',markersize=6*markersize/20.,linewidth=linewidth)
# 6 yard box
ax.plot([s*half_pitch_length,s*half_pitch_length-s*box_length],[box_width/2.,box_width/2.],lc,linewidth=linewidth)
ax.plot([s*half_pitch_length,s*half_pitch_length-s*box_length],[-box_width/2.,-box_width/2.],lc,linewidth=linewidth)
ax.plot([s*half_pitch_length-s*box_length,s*half_pitch_length-s*box_length],[-box_width/2.,box_width/2.],lc,linewidth=linewidth)
# penalty area
ax.plot([s*half_pitch_length,s*half_pitch_length-s*area_length],[area_width/2.,area_width/2.],lc,linewidth=linewidth)
ax.plot([s*half_pitch_length,s*half_pitch_length-s*area_length],[-area_width/2.,-area_width/2.],lc,linewidth=linewidth)
ax.plot([s*half_pitch_length-s*area_length,s*half_pitch_length-s*area_length],[-area_width/2.,area_width/2.],lc,linewidth=linewidth)
# penalty spot
ax.scatter(s*half_pitch_length-s*penalty_spot,0.0,marker='o',facecolor=lc,linewidth=0,s=markersize)
# corner flags
y = np.linspace(0,1,50)*corner_radius
x = np.sqrt(corner_radius**2-y**2)
ax.plot(s*half_pitch_length-s*x,-half_pitch_width+y,lc,linewidth=linewidth)
ax.plot(s*half_pitch_length-s*x,half_pitch_width-y,lc,linewidth=linewidth)
# draw the D
y = np.linspace(-1,1,50)*D_length # D_length is the chord of the circle that defines the D
x = np.sqrt(D_radius**2-y**2)+D_pos
ax.plot(s*half_pitch_length-s*x,y,lc,linewidth=linewidth)
# remove axis labels and ticks
ax.set_xticklabels([])
ax.set_yticklabels([])
ax.set_xticks([])
ax.set_yticks([])
# set axis limits
xmax = field_dimen[0]/2. + border_dimen[0]
ymax = field_dimen[1]/2. + border_dimen[1]
ax.set_xlim([-xmax,xmax])
ax.set_ylim([-ymax,ymax])
ax.set_axisbelow(True)
return fig,ax
def plot_frame( hometeam, awayteam, figax=None, team_colors=('r','b'), field_dimen = (106.0,68.0), include_player_velocities=False, PlayerMarkerSize=10, PlayerAlpha=0.7, annotate=False ):
""" plot_frame( hometeam, awayteam )
Plots a frame of Metrica tracking data (player positions and the ball) on a football pitch. All distances should be in meters.
Parameters
-----------
hometeam: row (i.e. instant) of the home team tracking data frame
awayteam: row of the away team tracking data frame
fig,ax: Can be used to pass in the (fig,ax) objects of a previously generated pitch. Set to (fig,ax) to use an existing figure, or None (the default) to generate a new pitch plot,
team_colors: Tuple containing the team colors of the home & away team. Default is 'r' (red, home team) and 'b' (blue away team)
field_dimen: tuple containing the length and width of the pitch in meters. Default is (106,68)
include_player_velocities: Boolean variable that determines whether player velocities are also plotted (as quivers). Default is False
PlayerMarkerSize: size of the individual player marlers. Default is 10
PlayerAlpha: alpha (transparency) of player markers. Defaault is 0.7
annotate: Boolean variable that determines with player jersey numbers are added to the plot (default is False)
Returrns
-----------
fig,ax : figure and aixs objects (so that other data can be plotted onto the pitch)
"""
if figax is None: # create new pitch
fig,ax = plot_pitch( field_dimen = field_dimen )
else: # overlay on a previously generated pitch
fig,ax = figax # unpack tuple
# plot home & away teams in order
for team,color in zip( [hometeam,awayteam], team_colors) :
x_columns = [c for c in team.keys() if c[-2:].lower()=='_x' and c!='ball_x'] # column header for player x positions
y_columns = [c for c in team.keys() if c[-2:].lower()=='_y' and c!='ball_y'] # column header for player y positions
ax.plot( team[x_columns], team[y_columns], color+'o', MarkerSize=PlayerMarkerSize, alpha=PlayerAlpha ) # plot player positions
if include_player_velocities:
vx_columns = ['{}_vx'.format(c[:-2]) for c in x_columns] # column header for player x positions
vy_columns = ['{}_vy'.format(c[:-2]) for c in y_columns] # column header for player y positions
ax.quiver( team[x_columns], team[y_columns], team[vx_columns], team[vy_columns], color=color, scale_units='inches', scale=10.,width=0.0015,headlength=5,headwidth=3,alpha=PlayerAlpha)
if annotate:
[ ax.text( team[x]+0.5, team[y]+0.5, x.split('_')[1], fontsize=10, color=color ) for x,y in zip(x_columns,y_columns) if not ( np.isnan(team[x]) or np.isnan(team[y]) ) ]
# plot ball
ax.plot( hometeam['ball_x'], hometeam['ball_y'], 'ko', MarkerSize=6, alpha=1.0, LineWidth=0)
return fig,ax
def save_match_clip(hometeam,awayteam, fpath, fname='clip_test', figax=None, frames_per_second=25, team_colors=('r','b'), field_dimen = (106.0,68.0), include_player_velocities=False, PlayerMarkerSize=10, PlayerAlpha=0.7):
""" save_match_clip( hometeam, awayteam, fpath )
Generates a movie from Metrica tracking data, saving it in the 'fpath' directory with name 'fname'
Parameters
-----------
hometeam: home team tracking data DataFrame. Movie will be created from all rows in the DataFrame
awayteam: away team tracking data DataFrame. The indices *must* match those of the hometeam DataFrame
fpath: directory to save the movie
fname: movie filename. Default is 'clip_test.mp4'
fig,ax: Can be used to pass in the (fig,ax) objects of a previously generated pitch. Set to (fig,ax) to use an existing figure, or None (the default) to generate a new pitch plot,
frames_per_second: frames per second to assume when generating the movie. Default is 25.
team_colors: Tuple containing the team colors of the home & away team. Default is 'r' (red, home team) and 'b' (blue away team)
field_dimen: tuple containing the length and width of the pitch in meters. Default is (106,68)
include_player_velocities: Boolean variable that determines whether player velocities are also plotted (as quivers). Default is False
PlayerMarkerSize: size of the individual player marlers. Default is 10
PlayerAlpha: alpha (transparency) of player markers. Defaault is 0.7
Returrns
-----------
fig,ax : figure and aixs objects (so that other data can be plotted onto the pitch)
"""
# check that indices match first
assert np.all( hometeam.index==awayteam.index ), "Home and away team Dataframe indices must be the same"
# in which case use home team index
index = hometeam.index
# Set figure and movie settings
FFMpegWriter = animation.writers['ffmpeg']
metadata = dict(title='Tracking Data', artist='Matplotlib', comment='Metrica tracking data clip')
writer = FFMpegWriter(fps=frames_per_second, metadata=metadata)
fname = fpath + '/' + fname + '.mp4' # path and filename
# create football pitch
if figax is None:
fig,ax = plot_pitch(field_dimen=field_dimen)
else:
fig,ax = figax
fig.set_tight_layout(True)
# Generate movie
print("Generating movie...",end='')
with writer.saving(fig, fname, 100):
for i in index:
figobjs = [] # this is used to collect up all the axis objects so that they can be deleted after each iteration
for team,color in zip( [hometeam.loc[i],awayteam.loc[i]], team_colors) :
x_columns = [c for c in team.keys() if c[-2:].lower()=='_x' and c!='ball_x'] # column header for player x positions
y_columns = [c for c in team.keys() if c[-2:].lower()=='_y' and c!='ball_y'] # column header for player y positions
objs, = ax.plot( team[x_columns], team[y_columns], color+'o', MarkerSize=PlayerMarkerSize, alpha=PlayerAlpha ) # plot player positions
figobjs.append(objs)
if include_player_velocities:
vx_columns = ['{}_vx'.format(c[:-2]) for c in x_columns] # column header for player x positions
vy_columns = ['{}_vy'.format(c[:-2]) for c in y_columns] # column header for player y positions
objs = ax.quiver( team[x_columns], team[y_columns], team[vx_columns], team[vy_columns], color=color, scale_units='inches', scale=10.,width=0.0015,headlength=5,headwidth=3,alpha=PlayerAlpha)
figobjs.append(objs)
# plot ball
objs, = ax.plot( team['ball_x'], team['ball_y'], 'ko', MarkerSize=6, alpha=1.0, LineWidth=0)
figobjs.append(objs)
# include match time at the top
frame_minute = int( team['Time [s]']/60. )
frame_second = ( team['Time [s]']/60. - frame_minute ) * 60.
timestring = "%d:%1.2f" % ( frame_minute, frame_second )
objs = ax.text(-2.5,field_dimen[1]/2.+1., timestring, fontsize=14 )
figobjs.append(objs)
writer.grab_frame()
# Delete all axis objects (other than pitch lines) in preperation for next frame
for figobj in figobjs:
figobj.remove()
print("done")
plt.clf()
plt.close(fig)
def plot_events( events, figax=None, field_dimen = (106.0,68), indicators = ['Marker','Arrow'], color='r', marker_style = 'o', alpha = 0.5, annotate=False):
""" plot_events( events )
Plots Metrica event positions on a football pitch. event data can be a single or several rows of a data frame. All distances should be in meters.
Parameters
-----------
events: row (i.e. instant) of the home team tracking data frame
fig,ax: Can be used to pass in the (fig,ax) objects of a previously generated pitch. Set to (fig,ax) to use an existing figure, or None (the default) to generate a new pitch plot,
field_dimen: tuple containing the length and width of the pitch in meters. Default is (106,68)
indicators: List containing choices on how to plot the event. 'Marker' places a marker at the 'Start X/Y' location of the event; 'Arrow' draws an arrow from the start to end locations. Can choose one or both.
color: color of indicator. Default is 'r' (red)
marker_style: Marker type used to indicate the event position. Default is 'o' (filled ircle).
alpha: alpha of event marker. Default is 0.5
annotate: Boolean determining whether text annotation from event data 'Type' and 'From' fields is shown on plot. Default is False.
Returrns
-----------
fig,ax : figure and aixs objects (so that other data can be plotted onto the pitch)
"""
if figax is None: # create new pitch
fig,ax = plot_pitch( field_dimen = field_dimen )
else: # overlay on a previously generated pitch
fig,ax = figax
for i,row in events.iterrows():
if 'Marker' in indicators:
ax.plot( row['Start X'], row['Start Y'], color+marker_style, alpha=alpha )
if 'Arrow' in indicators:
ax.annotate("", xy=row[['End X','End Y']], xytext=row[['Start X','Start Y']], alpha=alpha, arrowprops=dict(alpha=alpha,width=0.5,headlength=4.0,headwidth=4.0,color=color),annotation_clip=False)
if annotate:
textstring = row['Type'] + ': ' + row['From']
ax.text( row['Start X'], row['Start Y'], textstring, fontsize=10, color=color)
return fig,ax
def plot_pitchcontrol_for_event( event_id, events, tracking_home, tracking_away, PPCF, alpha = 0.7, include_player_velocities=True, annotate=False, field_dimen = (106.0,68)):
""" plot_pitchcontrol_for_event( event_id, events, tracking_home, tracking_away, PPCF )
Plots the pitch control surface at the instant of the event given by the event_id. Player and ball positions are overlaid.
Parameters
-----------
event_id: Index (not row) of the event that describes the instant at which the pitch control surface should be calculated
events: Dataframe containing the event data
tracking_home: (entire) tracking DataFrame for the Home team
tracking_away: (entire) tracking DataFrame for the Away team
PPCF: Pitch control surface (dimen (n_grid_cells_x,n_grid_cells_y) ) containing pitch control probability for the attcking team (as returned by the generate_pitch_control_for_event in Metrica_PitchControl)
alpha: alpha (transparency) of player markers. Default is 0.7
include_player_velocities: Boolean variable that determines whether player velocities are also plotted (as quivers). Default is False
annotate: Boolean variable that determines with player jersey numbers are added to the plot (default is False)
field_dimen: tuple containing the length and width of the pitch in meters. Default is (106,68)
NB: this function no longer requires xgrid and ygrid as an input
Returrns
-----------
fig,ax : figure and aixs objects (so that other data can be plotted onto the pitch)
"""
# pick a pass at which to generate the pitch control surface
pass_frame = events.loc[event_id]['Start Frame']
pass_team = events.loc[event_id].Team
# plot frame and event
fig,ax = plot_pitch(field_color='white', field_dimen = field_dimen)
plot_frame( tracking_home.loc[pass_frame], tracking_away.loc[pass_frame], figax=(fig,ax), PlayerAlpha=alpha, include_player_velocities=include_player_velocities, annotate=annotate )
plot_events( events.loc[event_id:event_id], figax = (fig,ax), indicators = ['Marker','Arrow'], annotate=False, color= 'k', alpha=1 )
# plot pitch control surface
if pass_team=='Home':
cmap = 'bwr'
else:
cmap = 'bwr_r'
ax.imshow(np.flipud(PPCF), extent=(-field_dimen[0]/2., field_dimen[0]/2., -field_dimen[1]/2., field_dimen[1]/2.),interpolation='spline36',vmin=0.0,vmax=1.0,cmap=cmap,alpha=0.5)
return fig,ax
def plot_EPV_for_event( event_id, events, tracking_home, tracking_away, PPCF, EPV, alpha = 0.7, include_player_velocities=True, annotate=False, autoscale=0.1, contours=False, field_dimen = (106.0,68)):
""" plot_EPV_for_event( event_id, events, tracking_home, tracking_away, PPCF, EPV, alpha, include_player_velocities, annotate, autoscale, contours, field_dimen)
Plots the EPVxPitchControl surface at the instant of the event given by the event_id. Player and ball positions are overlaid.
Parameters
-----------
event_id: Index (not row) of the event that describes the instant at which the pitch control surface should be calculated
events: Dataframe containing the event data
tracking_home: (entire) tracking DataFrame for the Home team
tracking_away: (entire) tracking DataFrame for the Away team
PPCF: Pitch control surface (dimen (n_grid_cells_x,n_grid_cells_y) ) containing pitch control probability for the attcking team (as returned by the generate_pitch_control_for_event in Metrica_PitchControl)
EPV: Expected Possession Value surface. EPV is the probability that a possession will end with a goal given the current location of the ball.
The EPV surface is saved in the FoT github repo and can be loaded using Metrica_EPV.load_EPV_grid()
alpha: alpha (transparency) of player markers. Default is 0.7
include_player_velocities: Boolean variable that determines whether player velocities are also plotted (as quivers). Default is False
annotate: Boolean variable that determines with player jersey numbers are added to the plot (default is False)
autoscale: If True, use the max of surface to define the colorscale of the image. If set to a value [0-1], uses this as the maximum of the color scale.
field_dimen: tuple containing the length and width of the pitch in meters. Default is (106,68)
Returrns
-----------
fig,ax : figure and aixs objects (so that other data can be plotted onto the pitch)
"""
# pick a pass at which to generate the pitch control surface
pass_frame = events.loc[event_id]['Start Frame']
pass_team = events.loc[event_id].Team
# plot frame and event
fig,ax = plot_pitch(field_color='white', field_dimen = field_dimen)
plot_frame( tracking_home.loc[pass_frame], tracking_away.loc[pass_frame], figax=(fig,ax), PlayerAlpha=alpha, include_player_velocities=include_player_velocities, annotate=annotate )
plot_events( events.loc[event_id:event_id], figax = (fig,ax), indicators = ['Marker','Arrow'], annotate=False, color= 'k', alpha=1 )
# plot pitch control surface
if pass_team=='Home':
cmap = 'Reds'
lcolor = 'r'
EPV = np.fliplr(EPV) if mio.find_playing_direction(tracking_home,'Home') == -1 else EPV
else:
cmap = 'Blues'
lcolor = 'b'
EPV = np.fliplr(EPV) if mio.find_playing_direction(tracking_away,'Away') == -1 else EPV
EPVxPPCF = PPCF*EPV
if autoscale is True:
vmax = np.max(EPVxPPCF)*2.
elif autoscale>=0 and autoscale<=1:
vmax = autoscale
else:
assert False, "'autoscale' must be either {True or between 0 and 1}"
ax.imshow(np.flipud(EPVxPPCF), extent=(-field_dimen[0]/2., field_dimen[0]/2., -field_dimen[1]/2., field_dimen[1]/2.),interpolation='spline36',vmin=0.0,vmax=vmax,cmap=cmap,alpha=0.7)
if contours:
ax.contour( EPVxPPCF,extent=(-field_dimen[0]/2., field_dimen[0]/2., -field_dimen[1]/2., field_dimen[1]/2.),levels=np.array([0.75])*np.max(EPVxPPCF),colors=lcolor,alpha=1.0)
return fig,ax
def plot_EPV(EPV,field_dimen=(106.0,68),attack_direction=1):
""" plot_EPV( EPV, field_dimen, attack_direction)
Plots the pre-generated Expected Possession Value surface
Parameters
-----------
EPV: The 32x50 grid containing the EPV surface. EPV is the probability that a possession will end with a goal given the current location of the ball.
The EPV surface is saved in the FoT github repo and can be loaded using Metrica_EPV.load_EPV_grid()
field_dimen: tuple containing the length and width of the pitch in meters. Default is (106,68)
attack_direction: Sets the attack direction (1: left->right, -1: right->left)
Returrns
-----------
fig,ax : figure and aixs objects (so that other data can be plotted onto the pitch)
"""
if attack_direction==-1:
# flip direction of grid if team is attacking right->left
EPV = np.fliplr(EPV)
ny,nx = EPV.shape
# plot a pitch
fig,ax = plot_pitch(field_color='white', field_dimen = field_dimen)
# overlap the EPV surface
ax.imshow(EPV, extent=(-field_dimen[0]/2., field_dimen[0]/2., -field_dimen[1]/2., field_dimen[1]/2.),vmin=0.0,vmax=0.6,cmap='Blues',alpha=0.6)