-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathFastSLAM_1.py
More file actions
194 lines (145 loc) · 7.14 KB
/
Copy pathFastSLAM_1.py
File metadata and controls
194 lines (145 loc) · 7.14 KB
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
import numpy as np
from FastSLAM.Particle_1 import Particle, Landmark
class FastSLAM:
def __init__(self, initial_pose, n_particles, R, Q, sensor_range, p0=0.01):
self.initial_pose = initial_pose
self.M = n_particles
self.R = R
self.Q = Q
self.sensor_range = sensor_range
self.p0 = p0
self.particles =[Particle(self.initial_pose) for _ in range(n_particles)]
self.next_landmark_id = 0
def update(self, z, u, dt):
Y = []
weights = []
for p in range(self.M):
particle = self.particles[p]
observed_landmarks = []
if len(z) == 0:
x = particle.predict_pose(u, dt)
noise = np.random.multivariate_normal(np.zeros(3), self.R)
particle.pose = x + noise
particle.pose[2] = particle.wrap(particle.pose[2])
particle.weight = 1.0
else:
best_likelihood = -np.inf
best_measurement = 0
best_landmark = None
best_proposal_params = None
for i, z_i in enumerate(z):
likelihoods = []
proposal_params = []
for j, landmark in enumerate(particle.landmarks):
mu, Sigma = particle.proposal_distribution(z_i, landmark, u, dt, self.R, self.Q)
proposal_params.append((mu, Sigma))
previous_pose = particle.pose.copy()
particle.sample_proposal(mu, Sigma)
pi_j = particle.correspondence_likelihood(z_i, landmark, self.Q)
likelihoods.append(pi_j)
particle.pose = previous_pose
likelihoods.append(self.p0)
c_hat = np.argmax(likelihoods)
max_likelihood = likelihoods[c_hat]
if max_likelihood > best_likelihood:
best_likelihood = max_likelihood
best_measurement = i
best_landmark = c_hat
if c_hat < len(particle.landmarks):
best_proposal_params = proposal_params[c_hat]
z_best = z[best_measurement]
c_best = best_landmark
if c_best == len(particle.landmarks):
x = particle.predict_pose(u, dt)
noise = np.random.multivariate_normal(np.zeros(3), self.R)
particle.pose = x + noise
particle.pose[2] = particle.wrap(particle.pose[2])
particle.initialize_landmark(z_best, self.Q, self.next_landmark_id)
observed_landmarks.append(self.next_landmark_id)
self.next_landmark_id += 1
particle.weight = self.p0
else:
best_landmark = particle.landmarks[c_best]
mu, Sigma = best_proposal_params
particle.sample_proposal(mu, Sigma)
particle.update_landmark(best_landmark.landmark_id, z_best, self.Q)
observed_landmarks.append(best_landmark.landmark_id)
particle.weight = particle.importance_weight(z_best, best_landmark, self.Q, self.R)
for i, z_i in enumerate(z):
if i == best_measurement:
continue
likelihoods = []
for j, landmark in enumerate(particle.landmarks):
pi_j = particle.correspondence_likelihood(z_i, landmark, self.Q)
likelihoods.append(pi_j)
likelihoods.append(self.p0)
c_hat = np.argmax(likelihoods)
if c_hat == len(particle.landmarks):
particle.initialize_landmark(z_i, self.Q, self.next_landmark_id)
observed_landmarks.append(self.next_landmark_id)
self.next_landmark_id += 1
particle.weight *= self.p0
else:
landmark = particle.landmarks[c_hat]
particle.update_landmark(landmark.landmark_id, z_i, self.Q)
observed_landmarks.append(landmark.landmark_id)
w_meas = particle.measurement_likelihood(z_i, landmark, self.Q)
particle.weight *= w_meas
particle.update_landmark_counters(observed_landmarks, self.sensor_range)
Y.append(particle)
weights.append(particle.weight)
weights = np.array(weights)
if weights.sum() > 0:
weights = weights / weights.sum()
else:
weights = np.ones(self.M) / self.M
new_particles = []
indices = np.random.choice(self.M, size=self.M, p=weights, replace=True)
for i in indices:
new_particle = self.copy_particle(Y[i])
new_particle.weight = 1.0
new_particles.append(new_particle)
self.particles = new_particles
def copy_particle(self, particle):
new_particle = Particle(particle.pose.copy())
new_particle.weight = particle.weight
new_particle.n_landmarks = particle.n_landmarks
for landmark in particle.landmarks:
new_landmark = Landmark(
mu=landmark.mu.copy(),
covariance=landmark.covariance.copy(),
counter=landmark.counter,
landmark_id=landmark.landmark_id
)
new_particle.landmarks.append(new_landmark)
return new_particle
def get_map_estimate(self):
poses = np.array([p.pose for p in self.particles])
x_est = np.mean(poses[:, 0])
y_est = np.mean(poses[:, 1])
sin_theta = np.mean(np.sin(poses[:, 2]))
cos_theta = np.mean(np.cos(poses[:, 2]))
theta_est = np.arctan2(sin_theta, cos_theta)
pose = np.array([x_est, y_est, theta_est])
landmark_dict = {}
for particle in self.particles:
for lm in particle.landmarks:
if lm.landmark_id not in landmark_dict:
landmark_dict[lm.landmark_id] = []
landmark_dict[lm.landmark_id].append((lm.mu, lm.covariance, lm.counter))
landmarks_list = []
for lm_id, observations in landmark_dict.items():
n_obs = len(observations)
if n_obs > 0:
mu_avg = sum(obs[0] for obs in observations) / n_obs
cov_avg = sum(obs[1] for obs in observations) / n_obs
counter_avg = int(sum(obs[2] for obs in observations) / n_obs)
landmarks_list.append({
'id': lm_id,
'mu': mu_avg,
'covariance': cov_avg,
'counter': counter_avg
})
landmarks_list.sort(key=lambda x: x['id'])
landmarks = np.array([lm['mu'] for lm in landmarks_list]) if landmarks_list else np.array([])
return pose, landmarks