Results 11 to 20 of about 9,915 (287)
Quasi-interpolation by means of filter-banks [PDF]
IEEE Transactions on Signal Processing, 2010 We consider the problem of approximating a regular function f(t) from its samples, f(nT), taken in a uniform grid. Quasi-interpolation schemes approximate f(t) with a dilated version of a linear combination of shifted versions of a kernel ??(t ...
Perez Villalon, Gerardo
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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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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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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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Multiscale Partition of Unity [PDF]
, 2013 We introduce a new Partition of Unity Method for the numerical homogenization of elliptic partial differential equations with arbitrarily rough coefficients. We do not restrict to a particular ansatz space or the existence of a finite element mesh.
C.A. Duarte +11 more
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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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Bivariate spline interpolation with optimal approximation order [PDF]
, 2001 Let be a triangulation of some polygonal domain f c R2 and let S9 (A) denote the space of all bivariate polynomial splines of smoothness r and degree q with respect to A.
A. Kh. Ibrahim +31 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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Mollification in strongly Lipschitz domains with application to continuous and discrete De Rham complex [PDF]
, 2015 We construct mollification operators in strongly Lipschitz domains that do not invoke non-trivial extensions, are $L^p$ stable for any real number $p\in[1,\infty]$, and commute with the differential operators $\nabla$, $\nabla{\times}$, and $\nabla{\cdot}
Ern, Alexandre, Guermond, Jean-Luc
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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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