Picture of offices in the City of London

Open Access research that is better understanding work in the global economy...

Strathprints makes available scholarly Open Access content by researchers in the Department of Work, Employment & Organisation based within Strathclyde Business School.

Better understanding the nature of work and labour within the globalised political economy is a focus of the 'Work, Labour & Globalisation Research Group'. This involves researching the effects of new forms of labour, its transnational character and the gendered aspects of contemporary migration. A Scottish perspective is provided by the Scottish Centre for Employment Research (SCER). But the research specialisms of the Department of Work, Employment & Organisation go beyond this to also include front-line service work, leadership, the implications of new technologies at work, regulation of employment relations and workplace innovation.

Explore the Open Access research of the Department of Work, Employment & Organisation. Or explore all of Strathclyde's Open Access research...

Strathprints

Interpolation and scattered data fitting on manifolds using projected Powell–Sabin splines

Davydov, O. and Schumaker, L.L. (2008) Interpolation and scattered data fitting on manifolds using projected Powell–Sabin splines. IMA Journal of Numerical Analysis, 28 (4). pp. 785-805. ISSN 0272-4979

[img]
Preview
 PDF (man_theory.pdf)
man_theory.pdf
Accepted Author Manuscript
Download (251kB) | Preview

Abstract

We present methods for either interpolating data or for fitting scattered data on a two-dimensional smooth manifold. The methods are based on a local bivariate Powell-Sabin interpolation scheme, and make use of a family of charts {(Uξ , ξ)}ξ∈ satisfying certain conditions of smooth dependence on ξ. If is a C2-manifold embedded into R3, then projections into tangent planes can be employed. The data fitting method is a two-stage method. We prove that the resulting function on the manifold is continuously differentiable, and establish error bounds for both methods for the case when the data are generated by a smooth function.

Item type: Article
ID code: 15122
Keywords: interpolation, scattered data fitting, data on surfaces and manifolds, Powell-Sabin spline, Mathematics, Computational Mathematics, Applied Mathematics, Mathematics(all)
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Mrs Irene Spencer
Date deposited: 03 Feb 2010 19:05
Last modified: 07 Jan 2019 17:57
Related URLs:
URI: https://strathprints.strath.ac.uk/id/eprint/15122
Export data:
CORE (COnnecting REpositories)