# scipy.ndimage.fourier_ellipsoid

scipy.ndimage.fourier_ellipsoid(input, size, n=- 1, axis=- 1, output=None)

  Multidimensional ellipsoid Fourier filter.

  The array is multiplied with the fourier transform of a 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. None is returned in this case.

  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, misc
      >>> import numpy.fft
      >>> import matplotlib.pyplot as plt
      >>> fig, (ax1, ax2) = plt.subplots(1, 2)
      >>> plt.gray()  # show the filtered result in grayscale
      >>> ascent = misc.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
      >>> plt.show()

scipy.ndimage.uniform_filter1d scipy.ndimage.fourier_gaussian