yq change env3d and plotting

Sampling-based Planning/rrt_3D/plot_util3D.py

@@ -0,0 +1,152 @@
+# 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)
+            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 / proj3d.mod(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