mirror of
https://github.com/zhm-real/PathPlanning.git
synced 2026-08-29 16:40:46 +08:00
137 lines
5.3 KiB
Python
137 lines
5.3 KiB
Python
# plotting
|
|
import matplotlib.pyplot as plt
|
|
from mpl_toolkits.mplot3d import Axes3D
|
|
from mpl_toolkits.mplot3d.art3d import Poly3DCollection
|
|
import mpl_toolkits.mplot3d as plt3d
|
|
from mpl_toolkits.mplot3d import proj3d
|
|
import numpy as np
|
|
|
|
def CreateSphere(center,r):
|
|
u = np.linspace(0,2* np.pi,30)
|
|
v = np.linspace(0,np.pi,30)
|
|
x = np.outer(np.cos(u),np.sin(v))
|
|
y = np.outer(np.sin(u),np.sin(v))
|
|
z = np.outer(np.ones(np.size(u)),np.cos(v))
|
|
x, y, z = r*x + center[0], r*y + center[1], r*z + center[2]
|
|
return (x,y,z)
|
|
|
|
def draw_Spheres(ax,balls):
|
|
for i in balls:
|
|
(xs,ys,zs) = CreateSphere(i[0:3],i[-1])
|
|
ax.plot_wireframe(xs, ys, zs, alpha=0.15,color="b")
|
|
|
|
def draw_block_list(ax, blocks ,color=None,alpha=0.15):
|
|
'''
|
|
drawing the blocks on the graph
|
|
'''
|
|
v = np.array([[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0], [0, 0, 1], [1, 0, 1], [1, 1, 1], [0, 1, 1]],
|
|
dtype='float')
|
|
f = np.array([[0, 1, 5, 4], [1, 2, 6, 5], [2, 3, 7, 6], [3, 0, 4, 7], [0, 1, 2, 3], [4, 5, 6, 7]])
|
|
n = blocks.shape[0]
|
|
d = blocks[:, 3:6] - blocks[:, :3]
|
|
vl = np.zeros((8 * n, 3))
|
|
fl = np.zeros((6 * n, 4), dtype='int64')
|
|
for k in range(n):
|
|
vl[k * 8:(k + 1) * 8, :] = v * d[k] + blocks[k, :3]
|
|
fl[k * 6:(k + 1) * 6, :] = f + k * 8
|
|
if type(ax) is Poly3DCollection:
|
|
ax.set_verts(vl[fl])
|
|
else:
|
|
pc = Poly3DCollection(vl[fl], alpha=alpha, linewidths=1, edgecolors='k')
|
|
pc.set_facecolor(color)
|
|
h = ax.add_collection3d(pc)
|
|
return h
|
|
|
|
def draw_line(ax,SET,visibility=1,color=None):
|
|
if SET != []:
|
|
for i in SET:
|
|
xs = i[0][0], i[1][0]
|
|
ys = i[0][1], i[1][1]
|
|
zs = i[0][2], i[1][2]
|
|
line = plt3d.art3d.Line3D(xs, ys, zs, alpha=visibility, color=color)
|
|
ax.add_line(line)
|
|
|
|
def visualization(initparams):
|
|
if initparams.ind % 20 == 0 or initparams.done:
|
|
V = np.array(initparams.V)
|
|
# E = initparams.E
|
|
Path = np.array(initparams.Path)
|
|
start = initparams.env.start
|
|
goal = initparams.env.goal
|
|
# edges = E.get_edge()
|
|
# generate axis objects
|
|
ax = plt.subplot(111, projection='3d')
|
|
ax.view_init(elev=0.+ 0.03*initparams.ind/(2*np.pi), azim=90 + 0.03*initparams.ind/(2*np.pi))
|
|
ax.clear()
|
|
# drawing objects
|
|
draw_Spheres(ax, initparams.env.balls)
|
|
draw_block_list(ax, initparams.env.blocks)
|
|
draw_block_list(ax, np.array([initparams.env.boundary]),alpha=0)
|
|
# draw_line(ax,edges,visibility=0.25)
|
|
draw_line(ax,Path,color='r')
|
|
ax.scatter3D(V[:, 0], V[:, 1], V[:, 2], s=2, color='g',)
|
|
ax.plot(start[0:1], start[1:2], start[2:], 'go', markersize=7, markeredgecolor='k')
|
|
ax.plot(goal[0:1], goal[1:2], goal[2:], 'ro', markersize=7, markeredgecolor='k')
|
|
# adjust the aspect ratio
|
|
xmin, xmax = initparams.env.boundary[0], initparams.env.boundary[3]
|
|
ymin, ymax = initparams.env.boundary[1], initparams.env.boundary[4]
|
|
zmin, zmax = initparams.env.boundary[2], initparams.env.boundary[5]
|
|
dx, dy, dz = xmax-xmin, ymax-ymin, zmax-zmin
|
|
ax.get_proj = make_get_proj(ax,1*dx, 1*dy, 2*dy)
|
|
plt.xlabel('x')
|
|
plt.ylabel('y')
|
|
plt.pause(0.0001)
|
|
|
|
def make_get_proj(self, rx, ry, rz):
|
|
'''
|
|
Return a variation on :func:`~mpl_toolkit.mplot2d.axes3d.Axes3D.getproj` that
|
|
makes the box aspect ratio equal to *rx:ry:rz*, using an axes object *self*.
|
|
'''
|
|
|
|
rm = max(rx, ry, rz)
|
|
kx = rm / rx; ky = rm / ry; kz = rm / rz
|
|
|
|
# Copied directly from mpl_toolkit/mplot3d/axes3d.py. New or modified lines are
|
|
# marked by ##
|
|
def get_proj():
|
|
relev, razim = np.pi * self.elev/180, np.pi * self.azim/180
|
|
|
|
xmin, xmax = self.get_xlim3d()
|
|
ymin, ymax = self.get_ylim3d()
|
|
zmin, zmax = self.get_zlim3d()
|
|
|
|
# transform to uniform world coordinates 0-1.0,0-1.0,0-1.0
|
|
worldM = proj3d.world_transformation(xmin, xmax,
|
|
ymin, ymax,
|
|
zmin, zmax)
|
|
ratio = 0.5
|
|
# adjust the aspect ratio ##
|
|
aspectM = proj3d.world_transformation(-kx + 1, kx, ##
|
|
-ky + 1, ky, ##
|
|
-kz + 1, kz) ##
|
|
|
|
# look into the middle of the new coordinates
|
|
R = np.array([0.5, 0.5, 0.5])
|
|
|
|
xp = R[0] + np.cos(razim) * np.cos(relev) * self.dist *ratio
|
|
yp = R[1] + np.sin(razim) * np.cos(relev) * self.dist *ratio
|
|
zp = R[2] + np.sin(relev) * self.dist *ratio
|
|
E = np.array((xp, yp, zp))
|
|
|
|
self.eye = E
|
|
self.vvec = R - E
|
|
self.vvec = self.vvec / np.linalg.norm(self.vvec)
|
|
|
|
if abs(relev) > np.pi/2:
|
|
# upside down
|
|
V = np.array((0, 0, -1))
|
|
else:
|
|
V = np.array((0, 0, 1))
|
|
zfront, zback = -self.dist *ratio, self.dist *ratio
|
|
|
|
viewM = proj3d.view_transformation(E, R, V)
|
|
perspM = proj3d.persp_transformation(zfront, zback)
|
|
M0 = np.dot(viewM, np.dot(aspectM, worldM)) ##
|
|
M = np.dot(perspM, M0)
|
|
return M
|
|
return get_proj |