Discrete approximation by variational vector splines for noisy data

A. Kouibia and M. Pasadas

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 12, 3511-3522

Abstract: We deal with the problem of constructing and/or approximating some curves and surfaces from a noisy data set. The main objective here is to adapt the theory of the discrete smoothing variational splines [A. Kouibia, M. Pasadas, Approximation by discrete variational splines, J. Comput. Appl. Math. 116 (2000) 145–156] to the noisy data case. The problem is formulated and a result of almost sure convergence is established.

Keywords: Approximation; Curves & surfaces; Variational spline; Noisy data; Finite element (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:12:p:3511-3522

DOI: 10.1016/j.matcom.2009.04.022

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