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bundles / scipy latest / scipy / interpolate / _interpnd / LinearNDInterpolator

class

scipy.interpolate._interpnd:LinearNDInterpolator

source: /scipy/interpolate/_interpnd.cpython-314-x86_64-linux-gnu.so

Members

Summary

Piecewise linear interpolator in N > 1 dimensions.

Extended Summary

Parameters

points : ndarray of floats, shape (npoints, ndims); or Delaunay

2-D array of data point coordinates, or a precomputed Delaunay triangulation.

values : ndarray of float or complex, shape (npoints, ...), optional

N-D array of data values at points. The length of values along the first axis must be equal to the length of points. Unlike some interpolators, the interpolation axis cannot be changed.

fill_value : float, optional

Value used to fill in for requested points outside of the convex hull of the input points. If not provided, then the default is nan.

rescale : bool, optional

Rescale points to unit cube before performing interpolation. This is useful if some of the input dimensions have incommensurable units and differ by many orders of magnitude.

Methods

__call__

Notes

The interpolant is constructed by triangulating the input data with Qhull [1], and on each triangle performing linear barycentric interpolation.

Examples

We can interpolate values on a 2D plane: 
from scipy.interpolate import LinearNDInterpolator
import numpy as np
import matplotlib.pyplot as plt
rng = np.random.default_rng()
x = rng.random(10) - 0.5
y = rng.random(10) - 0.5
z = np.hypot(x, y)
X = np.linspace(min(x), max(x))
Y = np.linspace(min(y), max(y))
X, Y = np.meshgrid(X, Y)  # 2D grid for interpolation
interp = LinearNDInterpolator(list(zip(x, y)), z)
Z = interp(X, Y)
✓
plt.pcolormesh(X, Y, Z, shading='auto')
plt.plot(x, y, "ok", label="input point")
plt.legend()
plt.colorbar()
plt.axis("equal")
✗
plt.show()
✓
fig-67d679e63a651342.png

See also

CloughTocher2DInterpolator

Piecewise cubic, C1 smooth, curvature-minimizing interpolator in 2D.

NearestNDInterpolator

Nearest-neighbor interpolator in N dimensions.

RegularGridInterpolator

Interpolator on a regular or rectilinear grid in arbitrary dimensions (interpn wraps this class).

griddata

Interpolate unstructured D-D data.

interpn

Interpolation on a regular grid or rectilinear grid.

Aliases

  • scipy.interpolate.LinearNDInterpolator