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Audio inpainting. Audio inpainting (also known as audio interpolation) is an audio restoration task which deals with the reconstruction of missing or corrupted portions of a digital audio signal. [1] Inpainting techniques are employed when parts of the audio have been lost due to various factors such as transmission errors, data corruption or ...
In the mathematical field of numerical analysis, interpolation is a type of estimation, a method of constructing (finding) new data points based on the range of a discrete set of known data points. [1][2] In engineering and science, one often has a number of data points, obtained by sampling or experimentation, which represent the values of a ...
Linear interpolation. Method of curve fitting to construct new data points within the range of known data points. Given the two red points, the blue line is the linear interpolant between the points, and the value y at x may be found by linear interpolation. In mathematics, linear interpolation is a method of curve fitting using linear ...
Spline interpolation. In the mathematical field of numerical analysis, spline interpolation is a form of interpolation where the interpolant is a special type of piecewise polynomial called a spline. That is, instead of fitting a single, high-degree polynomial to all of the values at once, spline interpolation fits low-degree polynomials to ...
In popular music, interpolation (also called a replayed sample) refers to using a melody — or portions of a melody (often with modified lyrics) — from a previously recorded song but re-recording the melody instead of directly sampling it. [1][2] Interpolation is often cited as a legal defence to mask unlicenced sampling when the artist or ...
Runge's phenomenon is the consequence of two properties of this problem. The magnitude of the n -th order derivatives of this particular function grows quickly when n increases. The equidistance between points leads to a Lebesgue constant that increases quickly when n increases. The phenomenon is graphically obvious because both properties ...
In numerical analysis, polynomial interpolation is the interpolation of a given bivariate data set by the polynomial of lowest possible degree that passes through the points of the dataset. [1] Given a set of n + 1 data points , with no two the same, a polynomial function is said to interpolate the data if for each .
In mathematics, bilinear interpolation is a method for interpolating functions of two variables (e.g., x and y) using repeated linear interpolation. It is usually applied to functions sampled on a 2D rectilinear grid, though it can be generalized to functions defined on the vertices of (a mesh of) arbitrary convex quadrilaterals.