Smoothing (other)
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Smoothing (other)
Smoothing is the reduction or elimination in the roughness or unevenness of a surface or other thing. Smoothing may refer to: * Smoothing, a type of statistical technique for handling data * Smoothing (phonetics) * Image smoothing * Relaxation (iterative method) In numerical mathematics, relaxation methods are iterative methods for solving systems of equations, including nonlinear systems. Relaxation methods were developed for solving large sparse linear systems, which arose as finite-difference discret ..., iterative smoothing of solutions and errors in computational science * The Smoothing problem in stochastic processes. See Smoothing problem (stochastic processes) See also * Smooth (other) * Polishing {{disambiguation ...
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Smoothing
In statistics and image processing, to smooth a data set is to create an approximating function (mathematics), function that attempts to capture important patterns in the data, while leaving out noise or other fine-scale structures/rapid phenomena. In smoothing, the data points of a signal are modified so individual points higher than the adjacent points (presumably because of noise) are reduced, and points that are lower than the adjacent points are increased leading to a smoother signal. Smoothing may be used in two important ways that can aid in data analysis (1) by being able to extract more information from the data as long as the assumption of smoothing is reasonable and (2) by being able to provide analyses that are both flexible and robust. Many different algorithms are used in smoothing. Smoothing may be distinguished from the related and partially overlapping concept of curve fitting in the following ways: * curve fitting often involves the use of an explicit function for ...
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Smoothing (phonetics)
Monophthongization is a sound change by which a diphthong becomes a monophthong, a type of vowel shift. It is also known as ungliding, as diphthongs are also known as gliding vowels. In languages that have undergone monophthongization, digraphs that formerly represented diphthongs now represent monophthongs. The opposite of monophthongization is vowel breaking. Arabic Classical Arabic has two diphthongs, and , which are realised as the long vowels and in numerous Arabic dialects. This monophthongization has further developed into and , respectively, in urban North African dialects. Some notable exceptions to this monophthongization are some rural Lebanese dialects, which preserve the original pronunciations of some of the diphthongs. Other urban Lebanese dialects, such as in Beirut, use the mid vowels and . Another exception is the Sfax dialect of Tunisian Arabic, which is known mostly for keeping the Classical Arabic diphthongs and . Some varieties might maintain the dip ...
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picture info

Image Smoothing
Image editing encompasses the processes of altering images, whether they are digital photographs, traditional photo-chemical photographs, or illustrations. Traditional analog image editing is known as photo retouching, using tools such as an airbrush to modify photographs or editing illustrations with any traditional art medium. Graphic software programs, which can be broadly grouped into vector graphics editors, raster graphics editors, and 3D modelers, are the primary tools with which a user may manipulate, enhance, and transform images. Many image editing programs are also used to render or create computer art from scratch. The term “image editing” usually refers only to the editing of 2D images, not 3D ones. Basics of image editing Raster images are stored in a computer in the form of a grid of picture elements, or pixels. These pixels contain the image's color and brightness information. Image editors can change the pixels to enhance the image in many ways ...
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Relaxation (iterative Method)
In numerical mathematics, relaxation methods are iterative methods for solving systems of equations, including nonlinear systems. Relaxation methods were developed for solving large sparse linear systems, which arose as finite-difference discretizations of differential equations. They are also used for the solution of linear equations for linear least-squares problems and also for systems of linear inequalities, such as those arising in linear programming. They have also been developed for solving nonlinear systems of equations. Relaxation methods are important especially in the solution of linear systems used to model elliptic partial differential equations, such as Laplace's equation and its generalization, Poisson's equation. These equations describe boundary-value problems, in which the solution-function's values are specified on boundary of a domain; the problem is to compute a solution also on its interior. Relaxation methods are used to solve the linear equations resulti ...
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Smoothing Problem
The smoothing problem (not to be confused with smoothing in statistics, image processing and other contexts) is the problem of estimating an unknown probability density function recursively over time using incremental incoming measurements. It is one of the main problems defined by Norbert Wiener.1942, ''Extrapolation, Interpolation and Smoothing of Stationary Time Series''. A war-time classified report nicknamed "the yellow peril" because of the color of the cover and the difficulty of the subject. Published postwar 1949 MIT Press. http://www.isss.org/lumwiener.htm Wiener, Norbert (1949). Extrapolation, Interpolation, and Smoothing of Stationary Time Series. New York: Wiley. . A smoother is an algorithm that implements a solution to this problem, typically based on recursive Bayesian estimation. The smoothing problem is closely related to the filtering problem, both of which are studied in Bayesian smoothing theory. A smoother is often a two-pass process, composed of forward a ...
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Smoothing Problem (stochastic Processes)
The smoothing problem (not to be confused with smoothing in statistics, image processing and other contexts) is the problem of estimating an unknown probability density function recursively over time using incremental incoming measurements. It is one of the main problems defined by Norbert Wiener.1942, ''Extrapolation, Interpolation and Smoothing of Stationary Time Series''. A war-time classified report nicknamed "the yellow peril" because of the color of the cover and the difficulty of the subject. Published postwar 1949 MIT Press. http://www.isss.org/lumwiener.htm Wiener, Norbert (1949). Extrapolation, Interpolation, and Smoothing of Stationary Time Series. New York: Wiley. . A smoother is an algorithm that implements a solution to this problem, typically based on recursive Bayesian estimation. The smoothing problem is closely related to the filtering problem, both of which are studied in Bayesian smoothing theory. A smoother is often a two-pass process, composed of forward a ...
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Smooth (other)
Smooth may refer to: Mathematics * Smooth function, a function that is infinitely differentiable; used in calculus and topology * Smooth manifold, a differentiable manifold for which all the transition maps are smooth functions * Smooth algebraic variety, an algebraic variety with no singular points * Smooth number, a number whose prime factors are all less than a certain value; used in applications of number theory * Smoothsort, a sorting algorithm Arts and entertainment Music * Smooth (singer), Juanita Stokes, American singer, rapper and actress * ''Smooth'' (album), by Smooth, 1995 * ''Smooth'', an album by Gerald Albright, 1994 * "Smooth" (Florida Georgia Line song), 2017 * "Smooth" (iiO song), 2004 * "Smooth" (Santana song), featuring Rob Thomas, 1999 * "Smooth", a mashup by Neil Cicierega from ''Mouth Moods'', 2017 Other media * ''Smooth'' (magazine), an American publication for young black men * Smooth Radio (other), UK radio station networks * smoothfm, an ...
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