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Chordal Cubic Spline Quasi Interpolation

2012
This paper studies cubic spline quasi-interpolation of parametric curves through sequences of points in any space dimension. We show that if the parameter values are chosen by chord length, the order of accuracy is four. We also use this chordal cubic spline quasi interpolant to approximate the arc length derivatives and the length of the parametric ...
Sablonnière, Paul   +2 more
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Scattered data quasi‐interpolation on spheres

Mathematical Methods in the Applied Sciences, 2014
This paper studies the construction and approximation of quasi‐interpolation for spherical scattered data. First of all, a kind of quasi‐interpolation operator with Gaussian kernel is constructed to approximate the spherical function, and two Jackson type theorems are established.
Chen, Zhixiang, Cao, Feilong, Li, Ming
openaire   +2 more sources

Cubature rules based on bivariate spline quasi-interpolation for weakly singular integrals

Springer Proceedings in Mathematics & statistics, 2020
In this paper we present a new class of cubature rules with the aim of accurately integrating weakly singular double integrals. In particular we focus on those integrals coming from the discretization of Boundary Integral Equations for 3D Laplace ...
Antonella Falini   +3 more
semanticscholar   +1 more source

Optimized Quasi-Interpolators for Image Reconstruction

IEEE Transactions on Image Processing, 2015
We propose new quasi-interpolators for the continuous reconstruction of sampled images, combining a narrowly supported piecewise-polynomial kernel and an efficient digital filter. In other words, our quasi-interpolators fit within the generalized sampling framework and are straightforward to use.
Leonardo, Sacht, Diego, Nehab
openaire   +2 more sources

Adaptive quasi-interpolating quartic splines

Computing, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hering-Bertram, Martin   +2 more
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Optimality and Regularization Properties of Quasi-Interpolation: Deterministic and Stochastic Approaches

SIAM Journal on Numerical Analysis, 2020
Probabilistic numerics aims to study numerical algorithms from a stochastic perspective. This field has recently evolved into a surging interdisciplinary research area (between numerical approximat...
Wenwu Gao   +3 more
semanticscholar   +1 more source

Multilevel quadratic spline quasi-interpolation

Applied Mathematics and Computation, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paola Lamberti, Antonia Saponaro
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Algorithms for numerical solution of the equal width wave equation using multi-quadric quasi-interpolation method

International Journal of Modern Physics C, 2019
In this paper, we analyze equal width wave equation using multi-quadric quasi-interpolation (MQQI) scheme. The traveling wave solutions called solitary waves: Single solitary wave motion, interaction of two and three solitary waves and evolution of ...
S. Dhawan, Turgut Ak, G. Apaydin
semanticscholar   +1 more source

Quasi-interpolation and outliers removal

Numerical Algorithms, 2017
The authors develop a method for removing outliers using quasi-interpolation. The authors use quasi-interpolation and the approximation error of a function to create a boundary beyond which a data point is adjudicated as an outlier and removed from the dataset.
Anat Amir, David Levin
openaire   +1 more source

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