`scipy.ndimage._filters:laplace`

source: /scipy/ndimage/_filters.py :1035

Signature

   def     laplace (    input    ,    output    =  None   ,    mode    =  reflect   ,    cval    =  0.0   ,  * ,     axes    =  None     )

Summary

N-D Laplace filter based on approximate second derivatives.

Parameters

input : array_like

The input array.

output : array or dtype, optional

The array in which to place the output, or the dtype of the returned array. By default an array of the same dtype as input will be created.

mode : str or sequence, optional

The mode parameter determines how the input array is extended when the filter overlaps a border. By passing a sequence of modes with length equal to the number of dimensions of the input array, different modes can be specified along each axis. Default value is 'reflect'. The valid values and their behavior is as follows:

'reflect' (d c b a | a b c d | d c b a): The input is extended by reflecting about the edge of the last pixel. This mode is also sometimes referred to as half-sample symmetric.
'constant' (k k k k | a b c d | k k k k): The input is extended by filling all values beyond the edge with the same constant value, defined by the cval parameter.
'nearest' (a a a a | a b c d | d d d d): The input is extended by replicating the last pixel.
'mirror' (d c b | a b c d | c b a): The input is extended by reflecting about the center of the last pixel. This mode is also sometimes referred to as whole-sample symmetric.
'wrap' (a b c d | a b c d | a b c d): The input is extended by wrapping around to the opposite edge.

For consistency with the interpolation functions, the following mode names can also be used:

'grid-constant': This is a synonym for 'constant'.
'grid-mirror': This is a synonym for 'reflect'.
'grid-wrap': This is a synonym for 'wrap'.

cval : scalar, optional

Value to fill past edges of input if mode is 'constant'. Default is 0.0.

axes : tuple of int or None

The axes over which to apply the filter. If a mode tuple is provided, its length must match the number of axes.

Returns

laplace : ndarray: Filtered array. Has the same shape as input.

Notes

Array API Standard Support

laplace has experimental support for Python Array API Standard compatible backends in addition to NumPy. Please consider testing these features by setting an environment variable SCIPY_ARRAY_API=1 and providing CuPy, PyTorch, JAX, or Dask arrays as array arguments. The following combinations of backend and device (or other capability) are supported.

====================  ====================  ====================
Library               CPU                   GPU
====================  ====================  ====================
NumPy                 ✅                     n/a                 
CuPy                  n/a                   ✅                   
PyTorch               ✅                     ⛔                   
JAX                   ⚠️ no JIT             ⛔                   
Dask                  ⚠️ computes graph     n/a                 
====================  ====================  ====================

See dev-arrayapi for more information.

Examples

from scipy import ndimage, datasets
import matplotlib.pyplot as plt
fig = plt.figure()
plt.gray()  # show the filtered result in grayscale
ax1 = fig.add_subplot(121)  # left side
ax2 = fig.add_subplot(122)  # right side

✓

ascent = datasets.ascent()
result = ndimage.laplace(ascent)
ax1.imshow(ascent)
ax2.imshow(result)

⚠

plt.show()

✓

Aliases

scipy.ndimage.laplace