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correlate2d(in1, in2, mode='full', boundary='fill', fillvalue=0)

Cross correlate :None:None:`in1` and in2 with output size determined by :None:None:`mode`, and boundary conditions determined by boundary and :None:None:`fillvalue`.

Notes

When using "same" mode with even-length inputs, the outputs of correlate and correlate2d differ: There is a 1-index offset between them.

Parameters

in1 : array_like

First input.

in2 : array_like

Second input. Should have the same number of dimensions as :None:None:`in1`.

mode : str {'full', 'valid', 'same'}, optional

A string indicating the size of the output:

full

The output is the full discrete linear cross-correlation of the inputs. (Default)

valid

The output consists only of those elements that do not rely on the zero-padding. In 'valid' mode, either :None:None:`in1` or in2 must be at least as large as the other in every dimension.

same

The output is the same size as :None:None:`in1`, centered with respect to the 'full' output.

boundary : str {'fill', 'wrap', 'symm'}, optional

A flag indicating how to handle boundaries:

fill

pad input arrays with fillvalue. (default)

wrap

circular boundary conditions.

symm

symmetrical boundary conditions.

fillvalue : scalar, optional

Value to fill pad input arrays with. Default is 0.

Returns

correlate2d : ndarray

A 2-dimensional array containing a subset of the discrete linear cross-correlation of :None:None:`in1` with in2 .

Cross-correlate two 2-dimensional arrays.

Examples

Use 2D cross-correlation to find the location of a template in a noisy image:

>>> from scipy import signal
... from scipy import misc
... rng = np.random.default_rng()
... face = misc.face(gray=True) - misc.face(gray=True).mean()
... template = np.copy(face[300:365, 670:750]) # right eye
... template -= template.mean()
... face = face + rng.standard_normal(face.shape) * 50 # add noise
... corr = signal.correlate2d(face, template, boundary='symm', mode='same')
... y, x = np.unravel_index(np.argmax(corr), corr.shape) # find the match
>>> import matplotlib.pyplot as plt
... fig, (ax_orig, ax_template, ax_corr) = plt.subplots(3, 1,
...  figsize=(6, 15))
... ax_orig.imshow(face, cmap='gray')
... ax_orig.set_title('Original')
... ax_orig.set_axis_off()
... ax_template.imshow(template, cmap='gray')
... ax_template.set_title('Template')
... ax_template.set_axis_off()
... ax_corr.imshow(corr, cmap='gray')
... ax_corr.set_title('Cross-correlation')
... ax_corr.set_axis_off()
... ax_orig.plot(x, y, 'ro')
... fig.show()
See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

scipy.signal._signaltools.correlate2d scipy.signal._signaltools.correlate

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