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This article focuses on the fusion of flaw indications from multi-sensor nondestructive materials testing. Because each testing method makes use of a different physical principle, a multi-method approach has the potential of effectively differentiating ...
René Heideklang, Parisa Shokouhi
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Local RBF approximation for scattered data fitting with bivariate splines [PDF]
In this paper we continue our earlier research [4] aimed at developing effcient methods of local approximation suitable for the first stage of a spline based two-stage scattered data fitting algorithm.
A. Björck +9 more
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Parallel Hierarchical Genetic Algorithm for Scattered Data Fitting through B-Splines
Curve fitting to unorganized data points is a very challenging problem that arises in a wide variety of scientific and engineering applications. Given a set of scattered and noisy data points, the goal is to construct a curve that corresponds to the best
Jose Edgar Lara-Ramirez +5 more
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Computational Optimized Monitoring Methodology to Avoid Crowd Crush Accidents with Scattered Data
Recently, a crowd crush accident occurred in Seoul. Mathematics and data science can contribute to understanding this incident and to avoiding future accidents.
Dongyung Kim
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Monotonicity preserving approximation of multivariate scattered data [PDF]
This paper describes a new method of monotone interpolation and smoothing of multivariate scattered data. It is based on the assumption that the function to be approximated is Lipschitz continuous.
Beliakov, Gleb
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Fractional Euclidean Distance Matrices Extrapolator for Scattered Data
The paper deals with application of fractional distance matrices to construct the efficient extrapolator of scattered data. The properties of fractional distance matrices are studied in order to develop the linear extrapolator.
Natalija Pozniak, Leonidas Sakalauskas
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Scattered data fitting by direct extension of local polynomials to bivariate splines [PDF]
We present a new scattered data fitting method, where local approximating polynomials are directly extended to smooth (C 1 or C 2) splines on a uniform triangulation (the four-directional mesh).
Davydov, O., Zeilfelder, F.
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Repeatability Estimates Of Sloped Scattered Data
Repeatability is the variance in data accumulated under fixed conditions. It is important for quality control as it costs both time and money to recalibrate tools and remanufacture machines.
Angelique Waller
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In some applications, there are signals with a piecewise structure to be recovered. In this paper, we propose a piecewise sparse approximation model and a piecewise proximal gradient method (JPGA) which aim to approximate piecewise signals.
Zhong Yijun +3 more
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Some efficient radial basis functions (RBFs) have a free parameter called the shape parameter that controls the shape of approximating function. This parameter is mainly selected by trial and error related to the problem.
Shabnam Sadat Seyed Ghalichi +2 more
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