Convolution

  • 41Convolution for optical broad-beam responses in scattering media — Photon transport theories, such as the Monte Carlo method, are commonly used to model light propagation in tissue. The responses to a pencil beam incident on a scattering medium are referred to as Green’s functions or impulse responses. Photon… …

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  • 42Convolution power — In mathematics, the convolution power is the n fold iteration of the convolution with itself. Thus if x is a function on Euclidean space Rd and n is a natural number, then the convolution power is defined by where * denotes the convolution… …

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  • 43Convolution theorem — In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution is the pointwise product of Fourier transforms. In other words, convolution in one domain (e.g., time domain) equals point wise… …

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  • 44Convolution reverb — In audio signal processing, convolution reverb is a process for digitally simulating the reverberation of a physical or virtual space. It is based on the mathematical convolution operation, and uses a pre recorded audio sample of the impulse… …

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  • 45Convolution of probability distributions — The convolution of probability distributions arises in probability theory and statistics as the operation in terms of probability distributions that corresponds to the addition of independent random variables and, by extension, to forming linear… …

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  • 46Convolution (computer science) — In computer science, specifically formal languages, convolution (sometimes referred to as zip) is a function which maps a tuple of sequences into a sequence of tuples. Example The convolution of and, fish, be is Definition Let Σ be an alphabet, # …

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  • 47Convolution sampling — In mathematics, convolution sampling is a technique used to generate observations from a distribution.A number of distributions can be expressed in terms of the (possibly weighted) sum of two or more random variables from other distributions (The …

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  • 48Convolution random number generator — In statistics and computer software, a convolution random number generator is a pseudo random number sampling method that can be used to generate random variates from certain classes of probability distribution. The particular advantage of this… …

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  • 49convolution integral — sąsūkos integralas statusas T sritis automatika atitikmenys: angl. convolution integral vok. Faltungsintegral, n rus. интеграл Дюамеля, m; интеграл свёртки, m pranc. intégrale de convolution, f …

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  • 50convolution of Broca — noun the motor speech center in the left hemisphere of the brain in most people • Syn: ↑Broca s area, ↑Broca s center, ↑Broca s gyrus, ↑Broca s convolution • Hypernyms: ↑center, ↑centre, ↑nerve center, ↑ …

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  • 51convolution integral — noun see convolution II …

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  • 52Produit de convolution de Dirichlet — Convolution de Dirichlet Johann Peter Gustav Lejeune Dirichlet développe son produit en 1937 pour démontrer le théorème de la progression arithmétique. En mathématiques, la convolution de Dirichlet, encore appelée produit de convolution de… …

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  • 53Produit de convolution — En mathématiques, le produit de convolution de deux fonctions f et g, qui se note généralement «   », est une autre fonction, obtenue à l aide d un calcul d intégrales, et généralisant l idée de moyenne glissante. En statistique, on… …

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  • 54Symmetric 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… …

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  • 55Circular 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… …

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  • 56Dirichlet convolution — In mathematics, the Dirichlet convolution is a binary operation defined for arithmetic functions; it is important in number theory. It was developed by Johann Peter Gustav Lejeune Dirichlet, a German mathematician. Contents 1 Definition 2… …

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  • 57Line Integral Convolution — Die Line Integral Convolution (Abkürzung: LIC, zu deutsch: Linienintegralfaltung) ist eine Methode zur wissenschaftlichen Visualisierung von Vektorfeldern (z. B. Strömungsfeldern). Sie stellt ein globales Verfahren zur Verfügung, um alle… …

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  • 58Negacyclic convolution — In mathematics, negacyclic convolution is a convolution between two vectors a and b. It is also called skew circular convolution or wrapped convolution. It results from multiplication of a skew circulant matrix, generated by vector a, with vector …

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  • 59Logarithmic convolution — The scale convolution of two functions s(t) and r(t), also known as their logarithmic convolution is defined as the function : s * l r(t) = r * l s(t) = int 0^infty sleft(frac{t}{a} ight)r(a) frac{da}{a}when this quantity exists.ResultsThe… …

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  • 60Titchmarsh convolution theorem — The Titchmarsh convolution theoremis named after Edward Charles Titchmarsh.The theorem describes the properties of the support of the convolutionof two functions. Titchmarsh convolution theorem E.C. Titchmarshproved the following theorem in 1926 …

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