Dear colleagues,
Exploring the 3D support for plotting a simple trapezoid isosceles based
on eight locations with x,y,z (imagine a water tank). When doing a manual
selection of the collections that defines each surface plane, the drawing
works well (see a sample below). Watching for a more automated process
that could work with a complex surface based on any Polygons.
My question: Is there an algorithm, or function in Numpy or Matplotlib
that identifies the quartet of each plane in the sample below? I've tried
to apply Numpy function "combinations", but it generates too many
collections.
Thanks in advance for your hint to optimize this drawing with the
Matplotlib with Poly3DCollection
Sample Code
-----------
from mpl_toolkits.mplot3d import Axes3D
from mpl_toolkits.mplot3d.art3d import Poly3DCollection
from mpl_toolkits.mplot3d.art3d import Line3DCollection
import matplotlib.pyplot as plt
from matplotlib import cm
import matplotlib.colors as colors
from numpy import random
fig = plt.figure()
ax = Axes3D(fig)
# for random color settings
color = colors.rgb2hex(random.rand(3))
# blue color
color = 'b'
#mypoly = [[2, 0, -1], [2, 0, 1], [4, 0, 1], [4, 0, -1], [0, 4, -2], [0,
4, 2], [6, 4, 2], [6, 4, -2]]
# A B C D E F G H
# Colections for drawing 3D plot with polygon (each plane defined
separately)
#plane a: A,E,H,D
#plane b: A,E,F,B
#plane c: B,F,G,C
#plane d: C,G,H,D
#plane e: E,F,G,H
#plane f: A,B,C,D
#plane collection
xa = [2,0,6,4]
ya = [0,4,4,0]
za = [-1,-2,-2,-1]
#second collection
xb = [2,0,0,2]
yb = [0,4,4,0]
zb = [-1,-2,2,1]
#third collection
xc = [2,0,6,4]
yc = [0,4,4,0]
zc = [1,2,2,1]
#fourth collection
xd = [4,6,6,4]
yd = [0,4,4,0]
zd = [1,2,-2,-1]
#fifth collection (kept open, to watch the plot result)
xe = [0,0,6,6]
ye = [4,4,4,4]
ze = [-2,2,2,-2]
#sixth collection
xf = [2,2,4,4]
yf = [0,0,0,0]
zf = [-1,1,1,-1]
# to do
verts = [zip(xa, ya,za),zip(xb, yb,zb),zip(xc, yc,zc),zip(xd,
yd,zd),zip(xf, yf,zf)]
ax.add_collection3d(Poly3DCollection(verts, facecolors=color,
linewidths=1, alpha=0.5))
ax.add_collection3d(Line3DCollection(verts, colors='k', linewidths=0.2,
linestyles=':'))
# set axis view
# add grid
ax.grid(True)
# view
ax.set_xlim(-1,6)
ax.set_ylim(-1,6)
ax.set_zlim(-5,5)
ax.view_init(elev=10., azim=110.)
ax.get_xaxis().set_visible(True)
ax.get_yaxis().set_visible(True)
ax.set_autoscale_on(True)
plt.show()
Thanks for support.
Regards,
Claude
Claude Falbriard
Certified IT Specialist L2 - Middleware
AMS Hortolândia / SP - Brazil
phone: +55 13 9 9760 0453
cell: +55 13 9 8117 3316
e-mail: clau...@br.ibm.com
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