# 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)) # shift and scale sphere x = r*x + center[0] y = r*y + center[1] z = 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): ''' Subroutine used by draw_map() to display the environment blocks ''' 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]]) # clr = blocks[:,6:]/255 n = blocks.shape[0] d = blocks[:, 3:6] - blocks[:, :3] vl = np.zeros((8 * n, 3)) fl = np.zeros((6 * n, 4), dtype='int64') # fcl = np.zeros((6*n,3)) 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 # fcl[k*6:(k+1)*6,:] = clr[k,:] if type(ax) is Poly3DCollection: ax.set_verts(vl[fl]) else: pc = Poly3DCollection(vl[fl], alpha=0.15, linewidths=1, edgecolors='k') # pc.set_facecolor(fcl) h = ax.add_collection3d(pc) return h def visualization(initparams): V = np.array(initparams.V) E = initparams.E Path = np.array(initparams.Path) start = initparams.env.start goal = initparams.env.goal ax = plt.subplot(111, projection='3d',adjustable='box') ax.view_init(elev=0., azim=90) ax.clear() draw_Spheres(ax, initparams.env.balls) draw_block_list(ax, initparams.env.blocks) edges = E.get_edge() if edges != []: for i in edges: 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=0.25) ax.add_line(line) if Path != []: for i in Path: 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, color='r') ax.add_line(line) 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') ax.scatter3D(V[:, 0], V[:, 1], V[:, 2], s=2, color='g',) 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.set_xlim3d(xmin, xmax) ax.set_ylim3d(ymin, ymax) ax.set_zlim3d(zmin, zmax) ax.get_proj = make_get_proj(ax,1*dx, 1*dy, 2*dy) #ax.dist = 5 plt.xlabel('x') plt.ylabel('y') if not Path != []: plt.pause(0.001) else: plt.show() 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) # 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 yp = R[1] + np.sin(razim) * np.cos(relev) * self.dist zp = R[2] + np.sin(relev) * self.dist 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, self.dist 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