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Durham University

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Publication details for Dr Ioannis Ivrissimtzis

Mustafa, Ghulam & Ivrissimtzis, Ioannis (2013), Model selection for the Dubuc-Deslauriers family of subdivision schemes, in Cripps, Robert J., Mullineux, Glen & Sabin, Malcolm A. eds, 14th IMA Conference on Mathematics of Surfaces. Birmingham, England, The Institute of Mathematics and its Applications, Southend on Sea, 155-162.

Author(s) from Durham


We propose two methods for model selection for the Dubuc-
Deslauriers 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.


Conference date: Wednesday 11 - Friday 13 September 2013