Applications of a finite element discretisation of thin plate splines

Title: Applications of a finite element discretisation of thin plate splines
Creator: Lamichhane, Bishnu P.; Stals, Linda
Relation: ANZIAM Journal Vol. 56, p. C210-C227
Publisher Link: http://dx.doi.org/10.0000/anziamj.v56i0.9368
Publisher: Australian Mathematical Society
Resource Type: journal article
Date: 2016
Description: The thin plate spline method is a widely used data fitting technique which has the ability to smooth noisy data. We present some example applications of a new mixed finite element discretisation of the thin plate spline method. The new approach works with a pair of bases for the gradient and the Lagrange multiplier forming a biorthogonal system, thus ensuring that the scheme is numerically efficient and the formulation is stable. We overview of the theoretical foundations of the new approach and give numerical examples in both two and three dimensions.
Subject: finite element discretisation; thin plate splines; thin plate spline method
Identifier: http://hdl.handle.net/1959.13/1329089
Identifier: uon:26062
Identifier: ISSN:1446-8735
Language: eng
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