Note
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2-Dimensional InterpolationΒΆ
6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 | import ndsplines
import numpy as np
import matplotlib.pyplot as plt
from scipy import interpolate
from scipy.stats import norm
import itertools
from mpl_toolkits.mplot3d import Axes3D
def gaussian(x_in):
z = norm.ppf(.995)
x = z*(2*x_in-1)
return norm.pdf(x)
def sin(x_in):
x = np.pi*(x_in-0.5)
return np.sin(x)
def tanh(x_in):
x = 2*np.pi*(x_in-0.5)
return np.tanh(x)
def dist(x_in, y_in):
return np.sqrt((x_in-0.25)**2 + (y_in-0.25)**2)
funcs = [gaussian, sin, tanh]
def wrap2d(funcx, funcy):
def func2d(x_in, y_in):
return funcx(x_in)*funcy(y_in)
func2d.__name__ = '_'.join([funcx.__name__, funcy.__name__])
return func2d
funcs = [ wrap2d(*funcs_to_wrap) for funcs_to_wrap in itertools.combinations_with_replacement(funcs, r=2)]
funcs.append(dist)
x = np.linspace(0, 1, 7)
y = np.linspace(0, 1, 7)
xx = np.linspace(0,1,64)
yy = np.linspace(0,1,64)
xx = np.linspace(-.25, 1.25, 64)
yy = np.linspace(-.25, 1.25, 64)
k = 3
meshx, meshy = np.meshgrid(x, y, indexing='ij')
gridxy = np.stack((meshx, meshy), axis=-1)
meshxx, meshyy = np.meshgrid(xx, yy, indexing='ij')
gridxxyy = np.stack((meshxx, meshyy), axis=-1)
for func in funcs:
fvals = func(meshx, meshy)
truef = func(meshxx, meshyy)
test_NDBspline = ndsplines.make_interp_spline(gridxy, fvals,)
test_RectSpline = interpolate.RectBivariateSpline(x, y, fvals)
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.plot_wireframe(meshxx, meshyy, truef, alpha=0.25, color='C0')
ax.plot_wireframe(meshxx, meshyy, test_NDBspline(gridxxyy), color='C1')
ax.plot_wireframe(meshxx, meshyy, test_RectSpline(meshxx, meshyy, grid=False), color='C2')
plt.show()
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Total running time of the script: ( 0 minutes 1.588 seconds)