Domain Values from Sample Data

Animation control:

Visualization	Frame Value
Surface geometry	sectioning parameter per frame
Surface position	fixed to the coordinate axis
Surface color	constant
Shading and highlighting	fixed to the coordinate axis
Axis coordinate	constant

This example uses the same algorithm to generate the surface geometry shown in the RGB Mapping example. For this example, the surface is now colored using a point cloud generated from sample data.

import numpy as np
import matplotlib.pyplot as plt
from matplotlib.animation import FuncAnimation
import s3dlib.surface as s3d
import s3dlib.pntcloud as ptc

# 0. Define animation control parameters ............................
frameSetSize = 30       # numb frames in each transition phase
totalTime, numFrames = 9, 3*frameSetSize         # time in seconds
frames=range(numFrames) 
interval = int(1000.0*totalTime/numFrames)       # milliseconds

# 1a. generate data samples with values .............................
N,seed,val_mult,domain = 50, 6, 25.0, [ [-1,1], [-1,1], [-1,1] ]
np.random.seed(seed)
xc = np.random.uniform(*domain[0], N)
yc = np.random.uniform(*domain[1], N)
zc = np.random.uniform(*domain[2], N)
dt_coor = np.column_stack((xc,yc,zc))
vals = val_mult*np.random.uniform(size=N)
points = np.column_stack((dt_coor,vals))

drez,cmap = 3, 'jet'
cloudObj = ptc.Point3DCloud(drez).domain(domain)
cloudObj.map_vals_from_sampvals(points,vadj='c')
cloudObj.map_cmap_from_cloudvals(cmap)
sphere_pts = s3d.samples_to_object(points, domain, cmap,2,size=.7)
sphere_pts.shade(0.2, direction=[1,1,1])

# 1b. Define function to examine ....................................

def get_surface(Z1Z2) :
    z1, z2 = Z1Z2
    # z1 = f(1,1)    z2 = f(-1,-1)
    def topface(xyz, Z1, Z2) :
        x,y,z = xyz
        Z = ( Z2+Z1)/2.0 - (Z2-Z1)*(x+y)/4.0
        #return x,y,Z
        return y,-x,Z  #  <--- rotate view
    def sideface(xyz, Z1, Z2, isX=True) :
        x,y,z = xyz
        Wmax = (Z2+Z1)/2
        Wmin = Z1
        X,Y = x,y
        if isX : 
            L,H,X = y, x, np.ones(len(x))
        else:
            L,H,Y = x,-y, np.ones(len(y))
        W = -(Wmax-Wmin)*L/2 + (Wmax+Wmin)/2
        Z = (W+1)*H/2 + (W-1)/2
        #return X,Y,Z
        return Y,-X,Z  #  <--- rotate view
    
    rez = 5
    ps = lambda : s3d.PlanarSurface(rez)
    top = ps().map_geom_from_op(lambda xyz : topface(xyz,z1,z2))
    front = ps().map_geom_from_op(lambda xyz : sideface(xyz,z1,z2))
    side = ps().map_geom_from_op(lambda xyz : sideface(xyz,z1,z2,False))
    surface = top+front+side
    surface.map_color_from_cloud(cloudObj)
    surface.shade( .5, direction=[1,-1,1])
    return surface

def get_frames(n) :
    # n number of frames per phase.
    # z component in each phase @ (0,0,z) and (1,1,z)
    negmin = -0.9999
    f2 = np.linspace(-1.0, 1.0, n)
    f1 = np.full(n,negmin)
    f2 = np.concatenate( ( f2, np.full(n,1.0) ) )
    f1 = np.concatenate( ( f1,np.linspace( negmin, 1.0, n) ) )
    f2 = np.concatenate( ( f2,np.linspace( 1.0, negmin, n) ) )
    f1 = np.concatenate( ( f1,np.linspace( 1.0, negmin, n) ) )
    return np.transpose([f1,f2])  

framearray = get_frames(frameSetSize)

# 2. Setup and map surfaces .........................................
fID = 30
surface = get_surface( framearray[fID] ) + sphere_pts

# 3. Construct figure, add surface, plot ............................

fig = plt.figure(figsize=plt.figaspect(1),facecolor='k')
title = str(cloudObj) + '\n' + str(surface)
fig.text(0.04,0.04,title, ha='left', va='bottom', fontsize='smaller',c='w')
ax = plt.axes(projection='3d',aspect='equal', facecolor='k',proj_type='ortho',)
ax.set(xlim=(-1,1), ylim=(-1,1), zlim=(-1,1) )
ax.set_axis_off()
#ax.view_init(azim=25)  <--- remove azim setting

ax.add_collection3d(surface)

plt.show()

# 4. Animation ======================================================

def update_fig(frame):
    global surface

    surface.remove()
    surface = get_surface( framearray[frame] ) + sphere_pts

    ax.add_collection3d(surface)
    return

anim = FuncAnimation(fig, update_fig, frames, interval=interval, repeat=True)
#anim.save('rgb_cube.html',writer='html')  <--- remove azim setting
anim.save('sample_cloud.html',writer='html')

msg = "saved {} frames, values: [{:.3f} to {:.3f}] @ {} milliseconds/frane"
print(msg.format(numFrames,np.min(frames),np.max(frames),interval))

print('DONE')