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PythonRobotics/Mapping/grid_map/grid_map.py
2018-02-17 10:19:13 -08:00

159 lines
3.6 KiB
Python

"""
2D grid map sample
author: Atsushi Sakai (@Atsushi_twi)
"""
import math
import numpy as np
import matplotlib.pyplot as plt
from scipy.stats import norm
AREA_WIDTH = 30.0
def generate_gaussian_grid_map(ox, oy, xyreso):
minx = min(ox) - AREA_WIDTH / 2.0
miny = min(oy) - AREA_WIDTH / 2.0
maxx = max(ox) + AREA_WIDTH / 2.0
maxy = max(oy) + AREA_WIDTH / 2.0
xw = round((maxx - minx) / xyreso)
yw = round((maxy - miny) / xyreso)
# calc each potential
pmap = [[0.0 for i in range(yw)] for i in range(xw)]
STD = 10.0 # standard diviation
for ix in range(xw):
for iy in range(yw):
x = ix * xyreso + minx
y = iy * xyreso + miny
# Search minimum distance
mindis = float("inf")
for (iox, ioy) in zip(ox, oy):
d = math.sqrt((iox - x)**2 + (ioy - y)**2)
if mindis >= d:
mindis = d
pdf = (1.0 - norm.cdf(mindis, 0.0, STD))
pmap[ix][iy] = pdf
draw_heatmap(pmap, minx, maxx, miny, maxy, xyreso)
plt.plot(ox, oy, "xr")
plt.show()
class precastDB:
def __init__(self):
self.px = 0.0
self.py = 0.0
self.d = 0.0
self.angle = 0.0
self.ix = 0
self.iy = 0
def __str__(self):
return str(self.px) + "," + str(self.py) + "," + str(self.d) + "," + str(self.angle)
def precasting(minx, miny, xw, yw, xyreso, yawreso):
precast = [[] for i in range(round((math.pi * 2.0) / yawreso) + 1)]
for ix in range(xw):
for iy in range(yw):
px = ix * xyreso + minx
py = iy * xyreso + miny
d = math.sqrt(px**2 + py**2)
angle = math.atan2(py, px)
if angle < 0.0:
angle += math.pi * 2.0
angleid = math.floor(angle / yawreso)
pc = precastDB()
pc.px = px
pc.py = py
pc.d = d
pc.ix = ix
pc.iy = iy
pc.angle = angle
precast[angleid].append(pc)
return precast
def generate_ray_casting_grid_map(ox, oy, xyreso):
minx = min(ox) - AREA_WIDTH / 2.0
miny = min(oy) - AREA_WIDTH / 2.0
maxx = max(ox) + AREA_WIDTH / 2.0
maxy = max(oy) + AREA_WIDTH / 2.0
xw = round((maxx - minx) / xyreso)
yw = round((maxy - miny) / xyreso)
pmap = [[0.0 for i in range(yw)] for i in range(xw)]
yawreso = math.radians(10.0)
precast = precasting(minx, miny, xw, yw, xyreso, yawreso)
for (x, y) in zip(ox, oy):
d = math.sqrt(x**2 + y**2)
angle = math.atan2(y, x)
if angle < 0.0:
angle += math.pi * 2.0
angleid = math.floor(angle / yawreso)
gridlist = precast[angleid]
ix = round((x - minx) / xyreso)
iy = round((y - miny) / xyreso)
pmap[ix][iy] = 1.0
for grid in gridlist:
if grid.d > (d):
pmap[grid.ix][grid.iy] = 0.5
draw_heatmap(pmap, minx, maxx, miny, maxy, xyreso)
plt.show()
def draw_heatmap(data, minx, maxx, miny, maxy, xyreso):
y, x = np.mgrid[slice(minx, maxx + xyreso, xyreso),
slice(miny, maxy + xyreso, xyreso)]
# print(y)
# data = np.array(data).T
plt.pcolor(data, vmax=1.0, cmap=plt.cm.Blues)
plt.axis("equal")
def main():
print(__file__ + " start!!")
# obstacle positions
ox = [-5.0, 5.0, 0.0, 10.0]
oy = [0.0, 5.0, 10.0, -5.0]
xyreso = 0.5
# generate_gaussian_grid_map(ox, oy, xyreso)
generate_ray_casting_grid_map(ox, oy, xyreso)
if __name__ == '__main__':
main()