Kernel定义

SIFT中的scale-space kernel什么意思,以前只知道线性代数里的Kernel。。。。以下内容来自wiki



Kernel (image processing)

http://en.wikipedia.org/wiki/Kernel_(image_processing)

In image processing, a kernelconvolution matrix, or mask is a small matrix useful for blurring, sharpening, embossing, edge-detection, and more. This is accomplished by means of convolution between a kernel and an image.

Kernel (linear algebra)

In linear algebra and functional analysis, the kernel (also null space or nullspace) of a linear map L : V → W between two vector spaces V and W, is the set of all elements v of V for which L(v) = 0, where 0 denotes the zero vector inW. That is, in set-builder notation,

\ker(L) = \left\{ \mathbf{v}\in V | L(\mathbf{v})=\mathbf{0} \right\}\text{.}

Kernel定义_第1张图片


Kernel (Machine Learning)

 kernel is essentially a mapping function - one that transforms a given space into some other (usually very high dimensional) space. 

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