Results 41 to 50 of about 10,513 (148)
Mathematical approximator based on basic spline approximation [PDF]
E3S Web of ConferencesThe article considers the problem of constructing a mathematical piecewise linear approximator based on approximation by basis splines. An algorithm has been developed designed to implement a class of special functions and create parallel ...
Turdimatov Mamirjon +5 more
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Spline approximation with preservation of moments
Journal of Numerical Analysis and Approximation Theory, 1990 Not available.
Petru Blaga
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Volume reconstruction based on the six-direction cubic box-spline
Graphical Models, 2023 We propose a new volume reconstruction technique based on the six-direction cubic box-spline M6. M6 is C1 continuous and possesses an approximation order of three, the same as that of the tri-quadratic B-spline but with much lower degree. In fact, M6 has
Hyunjun Kim, Minho Kim
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Approximation by Smooth Multivariate Splines [PDF]
Transactions of the American Mathematical Society, 1983 The degree of approximation achievable by piecewise polynomial functions of given total order on certain regular grids in the plane is shown to be adversely affected by smoothness requirements—in stark contrast to the univariate situation. For a rectangular grid, and for the triangular grid derived from it by adding all northeast diagonals, the maximum
de Boor, C., DeVore, R.
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Neutrosophication of Neutrosophic B-Spline Curve Approximation Model [PDF]
Neutrosophic Sets and SystemsThe neutrosophication process involves transforming crisp input value into neutrosophic value. It is a primary and crucial step for the operations within a neutrosophic set and system.
Siti Nur Idara Rosli +1 more
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Journal of Approximation Theory, 2003 Uniqueness and approximation orders of perfect splines are studied in this article. In the main result, upper bounds to the best approximation by perfect splines to continuous functions are provided. Moreover, the approximation results are related to the so-called \(\Sigma\Delta\) modulation of bandlimited univariate signals.
Hu, Y.-K., Yu, X.M.
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Quasi-interpolation in Spline Spaces: Local Stability and Approximation Properties
Trends in Computational and Applied Mathematics, 2023 In this work we analyze the approximation error in Sobolev norms for quasi-interpolation operators in spline spaces. We establish in a general way the hypotheses on a quasi-interpolant to achieve the optimal order of approximation.
M. E. Castillo, E. M. Garau
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Bivariate segment approximation and splines [PDF]
Advances in Computational Mathematics, 1996 The problem to determine partitions of a given rectangle which are optimal for segment approximation (e.g., by bivariate piecewise polynomials) is investigated. We give criteria for optimal partitions and develop algorithms for computing optimal partitions of certain types.
Nürnberger, Günther +2 more
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The EH Interpolation Spline and Its Approximation
Abstract and Applied Analysis, 2014 A new interpolation spline with two parameters, called EH interpolation spline, is presented in this paper, which is the extension of the standard cubic Hermite interpolation spline, and inherits the same properties of the standard cubic Hermite ...
Jin Xie, Xiaoyan Liu
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On smoothing problems with one additional equality condition
Mathematical Modelling and Analysis, 2009 Two problems of approximation in Hilbert spaces are considered with one additional equality condition: the smoothing problem with a weight and the smoothing problem with an obstacle.
Svetlana Asmuss, Natalia Budkina
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