pyqtgraph/examples/GLIsosurface.py

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# -*- coding: utf-8 -*-
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"""
This example uses the isosurface function to convert a scalar field
(a hydrogen orbital) into a mesh for 3D display.
"""
## Add path to library (just for examples; you do not need this)
import initExample
from pyqtgraph.Qt import QtCore, QtGui
import pyqtgraph as pg
import pyqtgraph.opengl as gl
app = pg.mkQApp("GLIsosurface Example")
w = gl.GLViewWidget()
w.show()
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w.setWindowTitle('pyqtgraph example: GLIsosurface')
w.setCameraPosition(distance=40)
g = gl.GLGridItem()
g.scale(2,2,1)
w.addItem(g)
import numpy as np
## Define a scalar field from which we will generate an isosurface
def psi(i, j, k, offset=(25, 25, 50)):
x = i-offset[0]
y = j-offset[1]
z = k-offset[2]
th = np.arctan2(z, (x**2+y**2)**0.5)
phi = np.arctan2(y, x)
r = (x**2 + y**2 + z **2)**0.5
a0 = 1
#ps = (1./81.) * (2./np.pi)**0.5 * (1./a0)**(3/2) * (6 - r/a0) * (r/a0) * np.exp(-r/(3*a0)) * np.cos(th)
ps = (1./81.) * 1./(6.*np.pi)**0.5 * (1./a0)**(3/2) * (r/a0)**2 * np.exp(-r/(3*a0)) * (3 * np.cos(th)**2 - 1)
return ps
#return ((1./81.) * (1./np.pi)**0.5 * (1./a0)**(3/2) * (r/a0)**2 * (r/a0) * np.exp(-r/(3*a0)) * np.sin(th) * np.cos(th) * np.exp(2 * 1j * phi))**2
print("Generating scalar field..")
data = np.abs(np.fromfunction(psi, (50,50,100)))
print("Generating isosurface..")
verts, faces = pg.isosurface(data, data.max()/4.)
md = gl.MeshData(vertexes=verts, faces=faces)
colors = np.ones((md.faceCount(), 4), dtype=float)
colors[:,3] = 0.2
colors[:,2] = np.linspace(0, 1, colors.shape[0])
md.setFaceColors(colors)
m1 = gl.GLMeshItem(meshdata=md, smooth=False, shader='balloon')
m1.setGLOptions('additive')
#w.addItem(m1)
m1.translate(-25, -25, -20)
m2 = gl.GLMeshItem(meshdata=md, smooth=True, shader='balloon')
m2.setGLOptions('additive')
w.addItem(m2)
m2.translate(-25, -25, -50)
## Start Qt event loop unless running in interactive mode.
if __name__ == '__main__':
import sys
if (sys.flags.interactive != 1) or not hasattr(QtCore, 'PYQT_VERSION'):
QtGui.QApplication.instance().exec_()