convolution kernel

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• Kernel — may refer to:Computing* Kernel (computer science), the central component of most operating systems ** Linux kernel * Kernel (programming language), a Scheme like language * kernel trick, in machine learningLiterature* Kernel ( Lilo Stitch ),… …   Wikipedia

• Convolution — For the usage in formal language theory, see Convolution (computer science). Convolution of two square pulses: the resulting waveform is a triangular pulse. One of the functions (in this case g) is first reflected about τ = 0 and then offset by t …   Wikipedia

• Kernel (mathematics) — In mathematics, the word kernel has several meanings. Kernel may mean a subset associated with a mapping:* The kernel of a mapping is the set of elements that map to the zero element (such as zero or zero vector), as in kernel of a linear… …   Wikipedia

• Symmetric convolution — In mathematics, symmetric convolution is a special subset of convolution operations in which the convolution kernel is symmetric across its zero point. Many common convolution based processes such as Gaussian blur and taking the derivative of a… …   Wikipedia

• Multivariate kernel density estimation — Kernel density estimation is a nonparametric technique for density estimation i.e., estimation of probability density functions, which is one of the fundamental questions in statistics. It can be viewed as a generalisation of histogram density… …   Wikipedia

• Dirichlet kernel — In mathematical analysis, the Dirichlet kernel is the collection of functions It is named after Johann Peter Gustav Lejeune Dirichlet. The importance of the Dirichlet kernel comes from its relation to Fourier series. The convolution of Dn(x) with …   Wikipedia

• Circular convolution — The circular convolution, also known as cyclic convolution, of two aperiodic functions occurs when one of them is convolved in the normal way with a periodic summation of the other function.  That situation arises in the context of the… …   Wikipedia

• Fejér kernel — In mathematics, the Fejér kernel is used to express the effect of Cesàro summation on Fourier series. It is a non negative kernel, giving rise to an approximate identity.The Fejér kernel is defined as :F n(x) = frac{1}{n} sum {k=0}^{n 1}D… …   Wikipedia

• Multiplier (Fourier analysis) — In Fourier analysis, a multiplier operator is a type of linear operator, or transformation of functions. These operators act on a function by altering its Fourier transform. Specifically they multiply the Fourier transform of a function by a… …   Wikipedia

• Integral transform — In mathematics, an integral transform is any transform T of the following form:: (Tf)(u) = int {t 1}^{t 2} K(t, u), f(t), dt.The input of this transform is a function f , and the output is another function Tf . An integral transform is a… …   Wikipedia

• Box blur — A box blur is an image filter in which each pixel in the resulting image has a value equal to the average value of its neighboring pixels in the input image. It is a form of low pass ( blurring ) filter and is a convolution.Due to its property of …   Wikipedia