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* [[Interpolation]] * [[Multivariate interpolation]] ...

{{short description|Method of multivariate interpolation}} [[Image:Piecewise_constant.svg|right|thumb|Nearest neighbor interpolation (blue lines) in one dimension on a (uniform) dataset (red points)]] ...

...es of curve-fitting compaction consisting of [[discretization]] and then [[interpolation]] are: * [[Multivariate adaptive regression splines]] ...

{{short description|Method of multivariate interpolation on a 3-dimensional regular grid}} ...ar interpolation as two [[bilinear interpolation]]s followed by a [[linear interpolation]].]] ...

...the points, and the value {{mvar|y}} at {{mvar|x}} may be found by linear interpolation.]] In mathematics, '''linear interpolation''' is a method of [[curve fitting]] using [[linear polynomial]]s to constru ...

{{short description|Type of deterministic method for multivariate interpolation}} ...ype of [[Deterministic algorithm|deterministic method]] for [[multivariate interpolation]] with a known homogeneously scattered set of points. The assigned values t ...

...-spline]]s, whereas [[Catmull-Clark]] was based on generalized ''[[Bicubic interpolation|bi-cubic]]'' uniform B-splines. The subdivision refinement algorithm was de [[Category:Multivariate interpolation]] ...

...keith/smoothness/techrept.pdf An unbiased estimator for the roughness of a multivariate Gaussian random field]'', [[Technical report]], 2000 July. |title = Smooth multidimensional interpolation ...

{{Short description|Extension of cubic spline interpolation}} {{comparison of 1D and 2D interpolation.svg}} ...

| footer = Partial plot of a discrete signal (black dots) and of its Lanczos interpolation (solid blue curve), with size parameter ''a'' equal to 1 (top), 2 (middle) | image1 = Lanczos-r01-filtering.svg | alt1 = Lanczos interpolation with radius 1 ...

...ion of Bloor-Wilson PDE Surface Model by using Canonical Basis for Hermite Interpolation'', Mathematical Engineering in Industry, 7(4), 421-33 (1999). [[Category:Multivariate interpolation]] ...

...g'', or ''decimation''; and ''[[Interpolation#In digital signal processing|interpolation]]''. ...Commonly used are: [[zero-order hold]] (for film/video frames), [[Bicubic interpolation|cubic]] (for image processing) and [[window function|windowed]] [[sinc func ...

...it is clear that ''PERM''(''M'') for any ''n''-by-''n'' matrix ''M'' is a multivariate polynomial of degree ''n'' over the entries in ''M''. Calculating the perma ...ctions of ''k'', by composing those linear functions with the degree ''n'' multivariate polynomial that calculates ''PERM''(''M'') we get another degree ''n'' poly ...

...=105–122 |doi=10.1016/0021-9045(76)90040-X |doi-access=free}}</ref> Spline interpolation also avoids the problem of [[Runge's phenomenon]], in which oscillation can ...awn technical drawings for shipbuilding are a historical example of spline interpolation; drawings were constructed using flexible rulers that were bent to follow p ...

{{short description|Cubic function used for interpolation}} ...] where each piece is a third-degree [[polynomial]] specified in [[Hermite interpolation|Hermite form]], that is, by its values and first [[derivative (mathematics) ...

...ce is defined by a [[set (mathematics)|set]] of control points. Similar to interpolation in many respects, a key difference is that the surface does not, in general * [[Bicubic interpolation]] ...

...eetwood Sheppard}}</ref><ref>{{Cite book|last=Steffensen|first=J. F.|title=Interpolation|date=2006|isbn=978-0-486-15483-1|edition=Second|location=Mineola, N.Y.|oclc ...the original. The resulting gain in simplicity may outweigh the loss from interpolation error and give better performance in calculation process. ...

[[Image:Bilininterp.png|right|thumb|Example of bilinear interpolation on the unit square with the ''z'' values 0, 1, 1 and 0.5 as indicated. Inte ...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]], ...

...Marco Bodrato. Towards Optimal Toom–Cook Multiplication for Univariate and Multivariate Polynomials in Characteristic 2 and 0. In ''WAIFI'07 proceedings'', volume # [[Toom–Cook multiplication#Interpolation|Interpolation]] ...

...d specifically for the [[inverse distance weighting]] method for [[spatial interpolation]] and to support the [[regionalized variable theory]] for [[kriging]].<ref> |title= Three forms of [[Multivariate interpolation|spatial interpolation]]. ...