A hole filling method for surfaces by using C1-Powell–Sabin splines. Estimation of the smoothing parameters

M.A. Fortes, P. González, M. Pasadas and M.L. Rodríguez

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 10, 2150-2160

Abstract: Let D⊂R2 be a polygonal domain, H be a subdomain of D and f∈C1(D¯−H∘). In this paper we propose a method to reconstruct f over the whole D¯ using a technique based on the minimization of an energy functional J. More precisely, we construct a new C1-Powell–Sabin spline function f∗ over D¯ that approximates f outside H, and fills the hole of f inside H. The resulting filling patch strongly depends on the values of two smoothing parameters involved in the functional J. We give a criteria to select optimum values of the parameters and we present some graphical and numerical examples.

Keywords: Filling holes; Minimal energy; Optimum parameters; Powell–Sabin (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:10:p:2150-2160

DOI: 10.1016/j.matcom.2010.12.003

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