`scipy.ndimage._fourier:fourier_ellipsoid`

source: build-install/usr/lib/python3.14/site-packages/scipy/ndimage/_fourier.py:186

Signature

def fourier_ellipsoid(input, size, n = -1, axis = -1, output = None)

Summary

Multidimensional ellipsoid Fourier filter.

Extended Summary

The array is multiplied with the fourier transform of an ellipsoid of given sizes.

Parameters

input : array_like: The input array.
size : float or sequence: The size of the box used for filtering. If a float, size is the same for all axes. If a sequence, size has to contain one value for each axis.
n : int, optional: If n is negative (default), then the input is assumed to be the result of a complex fft. If n is larger than or equal to zero, the input is assumed to be the result of a real fft, and n gives the length of the array before transformation along the real transform direction.
axis : int, optional: The axis of the real transform.
output : ndarray, optional: If given, the result of filtering the input is placed in this array.

Returns

fourier_ellipsoid : ndarray: The filtered input.

Notes

This function is implemented for arrays of rank 1, 2, or 3.

Examples

from scipy import ndimage, datasets
import numpy.fft
import matplotlib.pyplot as plt
fig, (ax1, ax2) = plt.subplots(1, 2)
plt.gray()  # show the filtered result in grayscale
ascent = datasets.ascent()
input_ = numpy.fft.fft2(ascent)
result = ndimage.fourier_ellipsoid(input_, size=20)
result = numpy.fft.ifft2(result)

✓

ax1.imshow(ascent)
ax2.imshow(result.real)  # the imaginary part is an artifact

✗

<matplotlib.image.AxesImage object at 0x7f3f609865d0>

plt.show()

✓

Aliases

scipy.ndimage.fourier_ellipsoid