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gaussian grid map released
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Mapping/gaussian_grid_map/gaussian_grid_map.py

Lines changed: 23 additions & 102 deletions
Original file line numberDiff line numberDiff line change
@@ -1,6 +1,6 @@
11
"""
22
3-
2D grid map sample
3+
2D gaussian grid map sample
44
55
author: Atsushi Sakai (@Atsushi_twi)
66
@@ -11,17 +11,16 @@
1111
import matplotlib.pyplot as plt
1212
from scipy.stats import norm
1313

14-
AREA_WIDTH = 10.0
14+
EXTEND_AREA = 10.0 # [m] grid map extention length
1515

16-
STD = 10.0 # standard diviation
16+
show_animation = True
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1818

19-
def generate_gaussian_grid_map(ox, oy, xyreso):
19+
def generate_gaussian_grid_map(ox, oy, xyreso, std):
2020

2121
minx, miny, maxx, maxy, xw, yw = calc_grid_map_config(ox, oy, xyreso)
2222

23-
# calc each potential
24-
pmap = [[0.0 for i in range(yw)] for i in range(xw)]
23+
gmap = [[0.0 for i in range(yw)] for i in range(xw)]
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2625
for ix in range(xw):
2726
for iy in range(yw):
@@ -36,104 +35,23 @@ def generate_gaussian_grid_map(ox, oy, xyreso):
3635
if mindis >= d:
3736
mindis = d
3837

39-
pdf = (1.0 - norm.cdf(mindis, 0.0, STD))
40-
pmap[ix][iy] = pdf
38+
pdf = (1.0 - norm.cdf(mindis, 0.0, std))
39+
gmap[ix][iy] = pdf
4140

42-
draw_heatmap(pmap, minx, maxx, miny, maxy, xyreso)
43-
plt.plot(ox, oy, "xr")
44-
plt.plot(0.0, 0.0, "ob")
41+
return gmap, minx, maxx, miny, maxy
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4744
def calc_grid_map_config(ox, oy, xyreso):
48-
minx = round(min(ox) - AREA_WIDTH / 2.0)
49-
miny = round(min(oy) - AREA_WIDTH / 2.0)
50-
maxx = round(max(ox) + AREA_WIDTH / 2.0)
51-
maxy = round(max(oy) + AREA_WIDTH / 2.0)
45+
minx = round(min(ox) - EXTEND_AREA / 2.0)
46+
miny = round(min(oy) - EXTEND_AREA / 2.0)
47+
maxx = round(max(ox) + EXTEND_AREA / 2.0)
48+
maxy = round(max(oy) + EXTEND_AREA / 2.0)
5249
xw = int(round((maxx - minx) / xyreso))
5350
yw = int(round((maxy - miny) / xyreso))
5451

5552
return minx, miny, maxx, maxy, xw, yw
5653

5754

58-
class precastDB:
59-
60-
def __init__(self):
61-
self.px = 0.0
62-
self.py = 0.0
63-
self.d = 0.0
64-
self.angle = 0.0
65-
self.ix = 0
66-
self.iy = 0
67-
68-
def __str__(self):
69-
return str(self.px) + "," + str(self.py) + "," + str(self.d) + "," + str(self.angle)
70-
71-
72-
def precasting(minx, miny, xw, yw, xyreso, yawreso):
73-
74-
precast = [[] for i in range(round((math.pi * 2.0) / yawreso) + 1)]
75-
76-
for ix in range(xw):
77-
for iy in range(yw):
78-
px = ix * xyreso + minx
79-
py = iy * xyreso + miny
80-
81-
d = math.sqrt(px**2 + py**2)
82-
angle = math.atan2(py, px)
83-
if angle < 0.0:
84-
angle += math.pi * 2.0
85-
86-
angleid = math.floor(angle / yawreso)
87-
88-
pc = precastDB()
89-
90-
pc.px = px
91-
pc.py = py
92-
pc.d = d
93-
pc.ix = ix
94-
pc.iy = iy
95-
pc.angle = angle
96-
97-
precast[angleid].append(pc)
98-
99-
return precast
100-
101-
102-
def generate_ray_casting_grid_map(ox, oy, xyreso):
103-
104-
minx, miny, maxx, maxy, xw, yw = calc_grid_map_config(ox, oy, xyreso)
105-
106-
pmap = [[0.0 for i in range(yw)] for i in range(xw)]
107-
108-
yawreso = math.radians(10.0)
109-
110-
precast = precasting(minx, miny, xw, yw, xyreso, yawreso)
111-
112-
for (x, y) in zip(ox, oy):
113-
114-
d = math.sqrt(x**2 + y**2)
115-
angle = math.atan2(y, x)
116-
if angle < 0.0:
117-
angle += math.pi * 2.0
118-
119-
angleid = math.floor(angle / yawreso)
120-
121-
gridlist = precast[angleid]
122-
123-
ix = int(round((x - minx) / xyreso))
124-
iy = int(round((y - miny) / xyreso))
125-
126-
for grid in gridlist:
127-
if grid.d > (d):
128-
pmap[grid.ix][grid.iy] = 0.5
129-
130-
pmap[ix][iy] = 1.0
131-
132-
draw_heatmap(pmap, minx, maxx, miny, maxy, xyreso)
133-
plt.plot(ox, oy, "xr")
134-
plt.plot(0.0, 0.0, "ob")
135-
136-
13755
def draw_heatmap(data, minx, maxx, miny, maxy, xyreso):
13856
x, y = np.mgrid[slice(minx - xyreso / 2.0, maxx + xyreso / 2.0, xyreso),
13957
slice(miny - xyreso / 2.0, maxy + xyreso / 2.0, xyreso)]
@@ -144,18 +62,21 @@ def draw_heatmap(data, minx, maxx, miny, maxy, xyreso):
14462
def main():
14563
print(__file__ + " start!!")
14664

147-
xyreso = 0.5
65+
xyreso = 0.5 # xy grid resolution
66+
STD = 5.0 # standard diviation for gaussian distribution
14867

14968
for i in range(5):
15069
ox = (np.random.rand(4) - 0.5) * 10.0
15170
oy = (np.random.rand(4) - 0.5) * 10.0
152-
plt.cla()
153-
generate_gaussian_grid_map(ox, oy, xyreso)
154-
plt.pause(1.0)
155-
156-
plt.cla()
157-
generate_ray_casting_grid_map(ox, oy, xyreso)
158-
plt.pause(1.0)
71+
gmap, minx, maxx, miny, maxy = generate_gaussian_grid_map(
72+
ox, oy, xyreso, STD)
73+
74+
if show_animation:
75+
plt.cla()
76+
draw_heatmap(gmap, minx, maxx, miny, maxy, xyreso)
77+
plt.plot(ox, oy, "xr")
78+
plt.plot(0.0, 0.0, "ob")
79+
plt.pause(1.0)
15980

16081

16182
if __name__ == '__main__':

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