Journal
COMPUTER AIDED GEOMETRIC DESIGN
Volume 59, Issue -, Pages 32-48Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cagd.2017.11.004
Keywords
Sampling; NURBS; Curvature
Funding
- UKs Engineering and Physical Sciences Research Council (EPSRC) [EP/K037374/1]
- EPSRC Future Metrology Hub [EP/P006930/1]
- EPSRC [EP/R024162/1, EP/K037374/1, EP/P006930/1, EP/I033424/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/K037374/1, EP/R024162/1, EP/I033424/1, EP/P006930/1] Funding Source: researchfish
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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. (C) 2017 The Authors. Published by Elsevier B.V.
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