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bundles / scipy 1.17.1 / scipy / ndimage / _filters / median_filter

function

scipy.ndimage._filters:median_filter

source: /scipy/ndimage/_filters.py :2075

Signature

def   median_filter ( input size = None footprint = None output = None mode = reflect cval = 0.0 origin = 0 * axes = None )

Summary

Calculate a multidimensional median filter.

Parameters

input : array_like

The input array.

size : scalar or tuple, optional

See footprint, below. Ignored if footprint is given.

footprint : array, optional

Either size or footprint must be defined. size gives the shape that is taken from the input array, at every element position, to define the input to the filter function. footprint is a boolean array that specifies (implicitly) a shape, but also which of the elements within this shape will get passed to the filter function. Thus size=(n,m) is equivalent to footprint=np.ones((n,m)). We adjust size to the number of dimensions of the input array, so that, if the input array is shape (10,10,10), and size is 2, then the actual size used is (2,2,2). When footprint is given, size is ignored.

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 : {'reflect', 'constant', 'nearest', 'mirror', 'wrap'}, optional

The mode parameter determines how the input array is extended beyond its boundaries. Default is 'reflect'. Behavior for each valid value 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-mirror'

This is a synonym for 'reflect'.

'grid-constant'

This is a synonym for 'constant'.

'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.

origin : int or sequence, optional

Controls the placement of the filter on the input array's pixels. A value of 0 (the default) centers the filter over the pixel, with positive values shifting the filter to the left, and negative ones to the right. By passing a sequence of origins with length equal to the number of dimensions of the input array, different shifts can be specified along each axis.

axes : tuple of int or None, optional

If None, input is filtered along all axes. Otherwise, input is filtered along the specified axes. When axes is specified, any tuples used for size, origin, and/or mode must match the length of axes. The ith entry in any of these tuples corresponds to the ith entry in axes.

Returns

median_filter : ndarray

Filtered array. Has the same shape as input.

Notes

For 2-dimensional images with uint8, float32 or float64 dtypes the specialised function scipy.signal.medfilt2d may be faster. It is however limited to constant mode with cval=0.

The filter always returns the argument that would appear at index n // 2 in a sorted array, where n is the number of elements in the footprint of the filter. Note that this differs from the conventional definition of the median when n is even. Also, this function does not support the float16 dtype, behavior in the presence of NaNs is undefined, and memory consumption scales with n**4. For float16 support, greater control over the definition of the filter, and to limit memory usage, consider using vectorized_filter with NumPy functions np.median or np.nanmedian.

Array API Standard Support

median_filter 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.median_filter(ascent, size=20)
ax1.imshow(ascent)
ax2.imshow(result)
plt.show()
fig-bb3297818dd1631a.png

See also

scipy.signal.medfilt2d

Aliases

  • scipy.ndimage.median_filter

Referenced by

Other packages