Mustafa, Ghulam and Ivrissimtzis, Ioannis (2013) 'Model selection for the Dubuc-Deslauriers family of subdivision schemes.', in Mathematics of surfaces - XIV. The proceedings of a conference on the Mathematics of Surfaces, organised by the Institute of Mathematics and its Applications held at the University of Birmingham in September 2013. Southend on Sea: Institute of Mathematics and its Applications, pp. 155-162.
We propose two methods for model selection for the DubucDeslauriers family of subdivision schemes. In particular, we study model selection under the statistical method of cross-validation and the geometric method of minimizing the absolute discrete total curvature. Our results show that schemes with large support and arity can be better models of noisy data. Our findings give a justification to the continuing research on large support and large arity schemes, even though currently such schemes are rarely used in practice.
|Item Type:||Book chapter|
|Full text:||Publisher-imposed embargo |
(AM) Accepted Manuscript
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|Publisher Web site:||http://www.ima.org.uk/conferences/conferences_calendar/14th_mathematics_of_surfaces.cfm.html|
|Date accepted:||11 June 2013|
|Date deposited:||10 May 2016|
|Date of first online publication:||September 2013|
|Date first made open access:||No date available|
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