-
Notifications
You must be signed in to change notification settings - Fork 124
/
Animated_Plotters.py
222 lines (188 loc) · 8.42 KB
/
Animated_Plotters.py
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
#!/usr/bin/env python
# coding: utf-8
"""
Animated Plotters
=================
This example shows how to animate several 2D state sequences to be plotted in time order. First,
truths, detections, and tracks are created. These are then plotted as animations using two
options that are provided by Stone Soup: Matplotlib-based :class:`~.AnimationPlotter`, and
Plotly-based :class:`~.AnimatedPlotterly`. The two options are then compared with pros and cons
given for both options.
"""
# %%
# Creating Ground Truths, Detections, and Tracks
# ----------------------------------------------
# For simplicity, we are going to quickly make a simulation with a basic Kalman Tracker using
# Stone Soup simulators. To see the animations in action, scroll down to "Creating Animations".
# %%
# All non-generic imports will be given in order of usage.
from datetime import datetime, timedelta
import numpy as np
from stonesoup.dataassociator.neighbour import GNNWith2DAssignment
from stonesoup.deleter.error import CovarianceBasedDeleter
from stonesoup.hypothesiser.distance import DistanceHypothesiser
from stonesoup.initiator.simple import MultiMeasurementInitiator
from stonesoup.measures import Mahalanobis
from stonesoup.models.transition.linear import (
CombinedLinearGaussianTransitionModel, ConstantVelocity)
from stonesoup.models.measurement.linear import LinearGaussian
from stonesoup.predictor.kalman import KalmanPredictor
from stonesoup.simulator.simple import MultiTargetGroundTruthSimulator, SimpleDetectionSimulator
from stonesoup.tracker.simple import MultiTargetTracker
from stonesoup.types.array import StateVector, CovarianceMatrix
from stonesoup.types.state import GaussianState
from stonesoup.updater.kalman import KalmanUpdater
# %%
# Set up the platform and detection simulators:
# Models
transition_model = CombinedLinearGaussianTransitionModel(
[ConstantVelocity(1), ConstantVelocity(1)])
measurement_model = LinearGaussian(4, [0, 2], np.diag([20, 20]))
start_time = datetime.now().replace(microsecond=0)
timestep = timedelta(seconds=5)
# Simulators
groundtruth_sim = MultiTargetGroundTruthSimulator(
transition_model=transition_model,
initial_state=GaussianState(
StateVector([[0], [0], [0], [0]]),
CovarianceMatrix(np.diag([1000, 10, 1000, 10])),
timestamp=start_time),
timestep=timestep,
number_steps=60,
birth_rate=0.2,
death_probability=0.05
)
detection_sim = SimpleDetectionSimulator(
groundtruth=groundtruth_sim,
measurement_model=measurement_model,
meas_range=np.array([[-1, 1], [-1, 1]]) * 2500, # Area to generate clutter
detection_probability=0.9,
clutter_rate=1,
)
# %%
# Set up the tracker:
# Filter
predictor = KalmanPredictor(transition_model)
updater = KalmanUpdater(measurement_model)
# Data Associator
hypothesiser = DistanceHypothesiser(predictor, updater, Mahalanobis(), missed_distance=3)
data_associator = GNNWith2DAssignment(hypothesiser)
# Initiator & Deleter
deleter = CovarianceBasedDeleter(covar_trace_thresh=1E3)
initiator = MultiMeasurementInitiator(
prior_state=GaussianState(np.array([[0], [0], [0], [0]]),
np.diag([0, 100, 0, 1000]),
timestamp=start_time),
measurement_model=measurement_model,
deleter=deleter,
data_associator=data_associator,
updater=updater,
min_points=3,
)
# Tracker
tracker = MultiTargetTracker(
initiator=initiator,
deleter=deleter,
detector=detection_sim,
data_associator=data_associator,
updater=updater,
)
# %%
# Generate the Truths, Detections, and Tracks:
groundtruth = set()
detections = set()
all_tracks = set()
for time, tracks in tracker:
groundtruth.update(groundtruth_sim.groundtruth_paths)
detections.update(detection_sim.detections)
all_tracks.update(tracks)
# %%
# Simulation overview:
from stonesoup.types.detection import Clutter, TrueDetection
average_life_of_gt = timestep * sum(len(gt) for gt in groundtruth)/len(groundtruth)
n_clutter = sum(isinstance(det, Clutter) for det in detections)
n_true_detections = sum(isinstance(det, TrueDetection) for det in detections)
average_life_of_track = timestep * sum(len(track) for track in all_tracks)/len(all_tracks)
print("The simulation produced:\n",
len(groundtruth), "Ground truth paths with an average life of", average_life_of_gt, "\n",
n_clutter, "Clutter Detections\n",
n_true_detections, "True Detections\n",
len(all_tracks), "Tracks with an average life of", average_life_of_track, "\n", )
# %%
# Creating Animations
# -------------------
# We now create animations using both plotters and compare them.
# %%
# AnimationPlotter
# ^^^^^^^^^^^^^^^^
# :class:`~.AnimationPlotter` is built on Matplotlib. Here we show off some of its functionality,
# and save the output. First, we create the plotter object and add an argument for the legend. One
# drawback with this plotter is that the user cannot currently set a custom title.
from stonesoup.plotter import AnimationPlotter
plotter = AnimationPlotter(legend_kwargs=dict(loc='upper left'))
# %%
# Plot the truths, detections, and tracks, and provide the mapping from state space to Cartesian:
plotter.plot_ground_truths(groundtruth, mapping=[0, 2])
plotter.plot_measurements(detections, mapping=[0, 2])
plotter.plot_tracks(all_tracks, mapping=[0, 2])
# %%
# The following command ensures the animation is playable via the interactive player in
# Jupyter Notebooks:
import matplotlib
matplotlib.rcParams['animation.html'] = 'jshtml'
# %%
# Run the animation. To prevent a cluttered plot, include an argument that deletes
# information older than 60 seconds:
plotter.run(plot_item_expiry=timedelta(seconds=60))
# %%
# Finally, save the animation:
plotter.save('example_animation.gif')
# %%
# AnimatedPlotterly
# ^^^^^^^^^^^^^^^^^
# We now create the Plotly-based :class:`~.AnimatedPlotterly`. We must provide the plotter with a
# list of equally space simulation timesteps for it to initialise. There are also optional
# arguments that are explained in the docs.
from stonesoup.plotter import AnimatedPlotterly
timesteps = [start_time + timedelta(seconds=5*k) for k in range(60)]
fig = AnimatedPlotterly(timesteps, tail_length=0.2, title="Plotterly Animation")
# %%
# Plot the data and show the animation:
fig.plot_ground_truths(groundtruth, mapping=[0, 2])
fig.plot_measurements(detections, mapping=[0, 2])
fig.plot_tracks(all_tracks, mapping=[0, 2])
fig.show()
# %%
# Comparing Plotters
# ------------------
#
# It is fairly apparent that :class:`~.AnimatedPlotterly` offers more functionality and interaction
# than :class:`~.AnimationPlotter`. The user can view information on each data point by hovering
# over it, zoom into a specific area, and turn on and off specific traces. This is especially
# useful for this example because the ground truth is impossible to view if the tracks are plotted
# over it. I.e. in :class:`~.AnimationPlotter`,
# to view ground truth, you would need to make a separate plotter that doesn't plot the tracks.
#
# However, there are a couple of drawbacks to :class:`~.AnimatedPlotterly`. If you can't extract
# a list of equally-spaced timesteps from your simulation, :class:`~.AnimatedPlotterly` won't work.
# It also more computationally expensive than :class:`~.AnimationPlotter`, so struggles to load
# and render large volumes of data. This can be seen by forcing the animation in Tutorial 4 to
# display every particle - set the plotter's `tail_length` to 1. Then set both `particle` and
# `plot_history` to True when plotting tracks. In addition, there is no current functionality
# to save the animation without using a screen-capturing tool.
#
# Finally, :class:`~.AnimatedPlotterly` has a more complex framework than
# :class:`~.AnimationPlotter`, hence adding custom data is
# harder. An example is somewhat shown in the sensor management tutorials, where a sensor's field
# of view is manually added, but a dedicated example may be written in the future.
# %%
# Conclusion
# ^^^^^^^^^^
# In conclusion, the Plotterly-derived :class:`~.AnimatedPlotterly` provides a more detailed and
# interactive user experience than the Matplotlib-derived :class:`~.AnimationPlotter`, so is
# recommended for most use cases. However, :class:`~.AnimatedPlotterly` may be a better choice if:
#
# 1. the simulation timesteps are non-linear, or cannot be easily extracted
# 2. many data points are being displayed at once
# 3. the user desires to save the animation without using screen-capturing tools
# 4. the user desires to add custom data quickly.