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Curvature based sampling of curves and surfaces

Pagani, Luca and Scott, Paul J. (2018) Curvature based sampling of curves and surfaces. Computer Aided Geometric Design, 59. pp. 32-48. ISSN 0167-8396

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Abstract

Efficient sampling methods enable the reconstruction of a generic surface with a limited amount of points. The reconstructed surface can therefore be used for inspection purpose. In this paper a sampling method that enables the reconstruction of a curve or surface is proposed. The input of the proposed algorithm is the number of required samples. The method takes into account two factors: the regularity of the sampling and the complexity of the object. A higher density of samples is assigned where there are some significant features, described by the curvature. The analysed curves and surfaces are described through the B-splines spaces. The sampling of surfaces generated by two or more curves is also discussed.

Item Type: Article
Uncontrolled Keywords: Sampling; NURBS; Curvature
Subjects: T Technology > TS Manufactures
Schools: School of Computing and Engineering
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Depositing User: Luca Pagani
Date Deposited: 14 Dec 2017 11:14
Last Modified: 11 Jan 2018 07:10
URI: http://eprints.hud.ac.uk/id/eprint/34076

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