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ImageCorrelate
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ImageCorrelate

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ImageCorrelate[image,ker]

gives the correlation of image with kernel ker.

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ImageCorrelate[image,ker,f]

computes a generalized correlation in which the function f is used in place of Dot.

Details and Options

Examples

open allclose all

Basic Examples  (2)Summary of the most common use cases

Blur an image by correlating it with a Gaussian matrix:

In[1]:=1
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https://wolfram.com/xid/0d6glnoak6-uewgx
Out[1]=1

Find occurrences of a template in an image:

In[1]:=1
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https://wolfram.com/xid/0d6glnoak6-1mw824
Out[1]=1

Scope  (5)Survey of the scope of standard use cases

Data  (3)

Correlate a binary image with a disk-shaped kernel:

In[18]:=18
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https://wolfram.com/xid/0d6glnoak6-eseo7i
Out[18]=18

Correlate a grayscale image:

In[1]:=1
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https://wolfram.com/xid/0d6glnoak6-gpeokf
Out[1]=1

Correlate a 3D image:

In[1]:=1
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https://wolfram.com/xid/0d6glnoak6-h10vih
Out[1]=1

Parameters  (2)

Use a Laplacian kernel:

In[6]:=6
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https://wolfram.com/xid/0d6glnoak6-9zt29
Out[6]=6

Use a template:

In[5]:=5
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https://wolfram.com/xid/0d6glnoak6-cxy4y8
Out[5]=5

The default correlation operator f is Dot:

In[1]:=1
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https://wolfram.com/xid/0d6glnoak6-ff8amf
Out[1]=1

Use a different correlation operator:

In[2]:=2
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https://wolfram.com/xid/0d6glnoak6-uul14
Out[2]=2

Generalizations & Extensions  (2)Generalized and extended use cases

Nonrectangular templates are better matched when used with a mask:

In[1]:=1
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https://wolfram.com/xid/0d6glnoak6-lppg

The correlation obtained using a mask is more robust to background changes:

In[3]:=3
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https://wolfram.com/xid/0d6glnoak6-t1txa2
Out[5]=5

Result of the template matching without using the mask:

In[6]:=6
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https://wolfram.com/xid/0d6glnoak6-jt711q
Out[6]=6

Match rotated occurrences of a template by matching the template rotated using a range of angles:

In[1]:=1
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https://wolfram.com/xid/0d6glnoak6-yqanbg
In[2]:=2
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https://wolfram.com/xid/0d6glnoak6-o0jgky

Visualize the best matches:

In[3]:=3
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https://wolfram.com/xid/0d6glnoak6-5ha40r
Out[3]=3

Result of the template matching without taking into account multiple orientations:

In[4]:=4
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https://wolfram.com/xid/0d6glnoak6-icx840
Out[4]=4

Options  (3)Common values & functionality for each option

Padding  (3)

By default, a "Fixed" padding is used:

In[2]:=2
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https://wolfram.com/xid/0d6glnoak6-cld43g
Out[2]=2

Specify a custom padding:

In[1]:=1
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https://wolfram.com/xid/0d6glnoak6-hkxa45
Out[1]=1

Padding->None normally returns an image smaller than the input image:

In[1]:=1
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https://wolfram.com/xid/0d6glnoak6-chzbeb
Out[1]=1

Applications  (2)Sample problems that can be solved with this function

Isolate regions of interest in an image:

In[21]:=21
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https://wolfram.com/xid/0d6glnoak6-coir9o
Out[22]=22

A basic face detector that uses the normalized correlation with an image of a pair of eyes:

In[1]:=1
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https://wolfram.com/xid/0d6glnoak6-z83p6z
In[2]:=2
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https://wolfram.com/xid/0d6glnoak6-qhjb8h
In[3]:=3
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https://wolfram.com/xid/0d6glnoak6-ig47he
Out[3]=3

Properties & Relations  (1)Properties of the function, and connections to other functions

ImageCorrelate gives an image of a real type:

In[2]:=2
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https://wolfram.com/xid/0d6glnoak6-cs5cgu
Out[3]=3
In[5]:=5
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https://wolfram.com/xid/0d6glnoak6-mlpwr3
Out[5]=5
Wolfram Research (2008), ImageCorrelate, Wolfram Language function, https://reference.wolfram.com/language/ref/ImageCorrelate.html (updated 2012).
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Wolfram Research (2008), ImageCorrelate, Wolfram Language function, https://reference.wolfram.com/language/ref/ImageCorrelate.html (updated 2012).

Text

Wolfram Research (2008), ImageCorrelate, Wolfram Language function, https://reference.wolfram.com/language/ref/ImageCorrelate.html (updated 2012).

✖
Wolfram Research (2008), ImageCorrelate, Wolfram Language function, https://reference.wolfram.com/language/ref/ImageCorrelate.html (updated 2012).

CMS

Wolfram Language. 2008. "ImageCorrelate." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2012. https://reference.wolfram.com/language/ref/ImageCorrelate.html.

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Wolfram Language. 2008. "ImageCorrelate." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2012. https://reference.wolfram.com/language/ref/ImageCorrelate.html.

APA

Wolfram Language. (2008). ImageCorrelate. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ImageCorrelate.html

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Wolfram Language. (2008). ImageCorrelate. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ImageCorrelate.html

BibTeX

@misc{reference.wolfram_2025_imagecorrelate, author="Wolfram Research", title="{ImageCorrelate}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/ImageCorrelate.html}", note=[Accessed: 21-June-2025 ]}

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@misc{reference.wolfram_2025_imagecorrelate, author="Wolfram Research", title="{ImageCorrelate}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/ImageCorrelate.html}", note=[Accessed: 21-June-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_imagecorrelate, organization={Wolfram Research}, title={ImageCorrelate}, year={2012}, url={https://reference.wolfram.com/language/ref/ImageCorrelate.html}, note=[Accessed: 21-June-2025 ]}

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@online{reference.wolfram_2025_imagecorrelate, organization={Wolfram Research}, title={ImageCorrelate}, year={2012}, url={https://reference.wolfram.com/language/ref/ImageCorrelate.html}, note=[Accessed: 21-June-2025 ]}