Results 11 to 20 of about 8,448 (266)
Journal of Inequalities and Applications, 2023 In this paper, a kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator is studied by combining the known multiquadric quasi-interpolation operator with the generalized Taylor polynomial as the expansion in the bivariate Bernoulli ...
Ruifeng Wu
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C1-Cubic Quasi-Interpolation Splines over a CT Refinement of a Type-1 Triangulation
Mathematics, 2022 C1 continuous quasi-interpolating splines are constructed over Clough–Tocher refinement of a type-1 triangulation. Their Bernstein–Bézier coefficients are directly defined from the known values of the function to be approximated, so that a set of ...
Haithem Benharzallah +2 more
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Weighted Quasi-Interpolant Spline Approximations of Planar Curvilinear Profiles in Digital Images
Mathematics, 2021 The approximation of curvilinear profiles is very popular for processing digital images and leads to numerous applications such as image segmentation, compression and recognition.
Andrea Raffo, Silvia Biasotti
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Multilevel quasi-interpolation
IMA Journal of Numerical Analysis, 2022 AbstractQuasi-interpolation methods are well-established tools in multivariate approximation. They are efficient as they do not require, in contrast to interpolation, the solution of a linear system. Quasi-interpolations are often first studied on infinite grids.
Franz, Tino, Wendland, Holger
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QuITO: Numerical software for constrained nonlinear optimal control problems
SoftwareX, 2023 We introduce the MATLAB-based software QuITO (Quasi-Interpolation based Trajectory Optimization) to numerically solve a wide class of constrained nonlinear optimal control problems (OCP). The solver is based on the QuITO (the same abbreviation) algorithm,
Siddhartha Ganguly +4 more
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A Neural Network Approximation Based on a Parametric Sigmoidal Function
Mathematics, 2019 It is well known that feed-forward neural networks can be used for approximation to functions based on an appropriate activation function. In this paper, employing a new sigmoidal function with a parameter for an activation function, we consider a ...
Beong In Yun
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Quasi‐interpolation by splines on the uniform knot sets
Mathematical Modelling and Analysis, 2007 In the case of uniform grids, the error of the spline interpolant of a function defined on R has been well estimated. On the basis of the spline interpolation formula for functions defined on R we derive quasi‐interpolation formulae for functions defined
Evely Leetma
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Assessment of Interpolation Errors of CYGNSS Soil Moisture Estimations
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2021 High spatiotemporal soil moisture (SM) is essential for many meteorological, hydrological, and agricultural applications and studies. Spaceborne Global Navigation Satellite System-Reflectometry (GNSS-R) provides a promising opportunity for high ...
Volkan Senyurek +2 more
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Comptes Rendus. Mathématique, 2023 We estimate best-approximation errors using vector-valued finite elements for fields with low regularity in the scale of the fractional-order Sobolev spaces. By assuming that the target field enjoys an additional integrability property on its curl or its
Dong, Zhaonan +2 more
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Mathematics, 2019 Radial basis function-based quasi-interpolation performs efficiently in high-dimensional approximation and its applications, which can attain the approximant and its derivatives directly without solving any large-scale linear system.
Shenggang Zhang +2 more
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