Convolutional Matrix Kernel Function: Difference between revisions

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A [[Convolutional Matrix Kernel Function]] is a [[convolution operator]] that is a [[small matrix]].
A [[Convolutional Matrix Kernel Function]] is a [[convolutional kernel function]] that is a [[matrix function]].
* <B>AKA:</B> [[Kernel Mask]].
* <B>AKA:</B> [[Convolutional Matrix Kernel Function|Kernel Mask]].
** …
* <B>Example(s):</B>
* <B>Example(s):</B>
** a [[3x3 Convolution Matrix Filter]].
** a [[5x5 Convolution Matrix Filter]].
** an [[Identity Convolution Matrix]], such as <math> \begin{bmatrix} 0 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 0 \end{bmatrix} </math>
** an [[Identity Convolution Matrix]], such as <math> \begin{bmatrix} 0 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 0 \end{bmatrix} </math>
** an [[Edge Detection Convolution Matrix]], such as <math> \begin{bmatrix} -1 &  -1 & -1 \\ -1 & \ \ 8 & -1 \\ -1 &  -1 & -1 \end{bmatrix} </math>
** an [[Edge Detection Convolution Matrix]], such as <math> \begin{bmatrix} -1 &  -1 & -1 \\ -1 & \ \ 8 & -1 \\ -1 &  -1 & -1 \end{bmatrix} </math>
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** any [[Convolution Graph Kernel Function]].
** any [[Convolution Graph Kernel Function]].
* <B>See:</B> [[Image Processing]], [[Convolutional Neural Network]].
* <B>See:</B> [[Image Processing]], [[Convolutional Neural Network]].
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==References==
 
== References ==
 
=== 2017 ===
* (Wikipedia, 2017) ⇒ https://en.wikipedia.org/wiki/Kernel_(image_processing) Retrieved:2017-6-27.
** In [[image processing]], a '''kernel''', '''convolution matrix''', or '''mask''' is a small [[Matrix (mathematics)|matrix]]. It is used for blurring, sharpening, embossing, [[edge detection]], and more. This is accomplished by doing a [[Kernel (image processing)#Convolution|convolution]] between a kernel and an [[Bitmap image|image]].


=== 2015 ===
=== 2015 ===
* (Wikipedia, 2015) &rArr; http://en.wikipedia.org/wiki/Kernel_(image_processing) Retrieved:2015-11-7.
* (Wikipedia, 2015) http://en.wikipedia.org/wiki/Kernel_(image_processing)#Details Retrieved:2015-11-7.
** In [[image processing]], a '''kernel''', '''convolution matrix''', or '''mask''' is a small [[Matrix (mathematics)|matrix]] useful for blurring, sharpening, embossing, edge-detection, and more. This is accomplished by means of [[Kernel (image processing)#Convolution|convolution]] between a kernel and an image.
** Depending on the element values, a kernel can cause a wide range of effects.         <P>       The above are just a few examples of effects achievable by convolving kernels and images.
* (Wikipedia, 2015) &rArr; http://en.wikipedia.org/wiki/Kernel_(image_processing)#Details Retrieved:2015-11-7.
** Depending on the element values, a kernel can cause a wide range of effects. <P> The above are just a few examples of effects achievable by convolving kernels and images.


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[[Category:Concept]]
[[Category:Concept]]
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Latest revision as of 04:38, 18 August 2021

A Convolutional Matrix Kernel Function is a convolutional kernel function that is a matrix function.



References

2017

2015