FIG Peer Review Journal


Splines and Kriging - The Use of Two Methods for Shell Structures Shape Analysis (4907)

Grzegorz Lenda and Marcin Ligas (Poland)
PhD. Marcin Ligas
The University of Science and Technology, AGH
Aleje Mickiewicza 30
Corresponding author PhD. Marcin Ligas (email: Ligas[at], tel.: + 48 502-168-704)

[ abstract ] [ paper ] [ handouts ]

Published on the web 2011-02-10
Received 2010-11-22 / Accepted 2011-02-10
This paper is one of selection of papers published for the FIG Working Week 2011 in Marrakech, Morocco and has undergone the FIG Peer Review Process.

FIG Working Week 2011
ISBN 978-87-90907-92-1 ISSN 2307-4086


The study presented concerns the periodic shape control of the shell objects surface. These objects due to the nonlinear shape of the shell require the use of appropriate methods of approximation, allowing for the creation of models correctly reflecting not only the theoretical shape of the shell, but also its local deformation, resulting in the process of construction and maintenance of buildings. Such a task can be realized based on two solutions that have established position among the methods of approximation: spline functions and the method of kriging. Each of these methods has its particular features which the authors tried to highlight by running the appropriate tests on the selected engineering structure. These characteristics determine the quality of approximations; especially in the case of not enough regular set of observations of the object. The paper is an attempt to answer the question, what level of accuracy can be expected from the approximations of both methods in the case of observations carried out regularly, and in the case of local deterioration in their regularity. Analysis of errors of each method, allowed the authors to propose combination of their features. It tended to obtain models more robust to errors resulting from local deterioration in regularity of observational data.
Keywords: Engineering survey; Deformation measurement; shell structures