2.5-interpolate
%matplotlib inline
from pyvista import set_plot_theme
set_plot_theme('document')Interpolating¶
Interpolate one mesh's point/cell arrays onto another mesh's nodes using a Gaussian Kernel.
# sphinx_gallery_thumbnail_number = 4
import pyvista as pv
from pyvista import examplesSimple Surface Interpolation¶
Resample the points' arrays onto a surface
# Download sample data
surface = examples.download_saddle_surface()
points = examples.download_sparse_points()
p = pv.Plotter()
p.add_mesh(points, point_size=30.0, render_points_as_spheres=True)
p.add_mesh(surface)
p.show()Loading...
Run the interpolation
interpolated = surface.interpolate(points, radius=12.0)
p = pv.Plotter()
p.add_mesh(points, point_size=30.0, render_points_as_spheres=True)
p.add_mesh(interpolated, scalars="val")
p.show()Loading...
Complex Interpolation¶
In this example, we will in interpolate sparse points in 3D space into a volume. These data are from temperature probes in the subsurface and the goal is to create an approximate 3D model of the temperature field in the subsurface.
This approach is a great for back-of-the-hand estimations but pales in comparison to kriging
# Download the sparse data
probes = examples.download_thermal_probes()Create the interpolation grid around the sparse data
grid = pv.UniformGrid()
grid.origin = (329700, 4252600, -2700)
grid.spacing = (250, 250, 50)
grid.dimensions = (60, 75, 100)dargs = dict(cmap="coolwarm", clim=[0,300], scalars="temperature (C)")
cpos = [(364280.5723737897, 4285326.164400684, 14093.431895014139),
(337748.7217949739, 4261154.45054595, -637.1092549935128),
(-0.29629216102673206, -0.23840196609932093, 0.9248651025279784)]
p = pv.Plotter()
p.add_mesh(grid.outline(), color='k')
p.add_mesh(probes, render_points_as_spheres=True, **dargs)
p.show(cpos=cpos)Loading...
Run an interpolation
interp = grid.interpolate(probes, radius=15000, sharpness=10, strategy='mask_points')Visualize the results
vol_opac = [0, 0, .2, 0.2, 0.5, 0.5]
p = pv.Plotter(shape=(1,2), window_size=[1024*3, 768*2])
p.enable_depth_peeling()
p.add_volume(interp, opacity=vol_opac, **dargs)
p.add_mesh(probes, render_points_as_spheres=True, point_size=10, **dargs)
p.subplot(0,1)
p.add_mesh(interp.contour(5), opacity=0.5, **dargs)
p.add_mesh(probes, render_points_as_spheres=True, point_size=10, **dargs)
p.link_views()
p.show(cpos=cpos)Loading...