Discrete approximation by variational vector splines for noisy data

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.

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Year of publication:	2009
Authors:	Kouibia, A. ; Pasadas, M.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 79.2009, 12, p. 3511-3522
Publisher:	Elsevier
Subject:	Approximation \| Curves & surfaces \| Variational spline \| Noisy data \| Finite element

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010749028