Curvature based sampling of curves and surfaces

Luca Pagani; Paul J. Scott

doi:10.1016/j.cagd.2017.11.004

Curvature based sampling of curves and surfaces

Luca Pagani, Paul J. Scott

Research output: Contribution to journal › Article › peer-review

61 Citations (Scopus)

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.

Original language	English
Pages (from-to)	32-48
Number of pages	17
Journal	Computer Aided Geometric Design
Volume	59
Early online date	2 Dec 2017
DOIs	https://doi.org/10.1016/j.cagd.2017.11.004
Publication status	Published - 1 Jan 2018

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10.1016/j.cagd.2017.11.004Licence: CC BY

Paul Scott
- p.j.scotthud.acuk
- Department of Engineering - Professor
- School of Computing and Engineering
- Centre for Precision Technologies - Research Director
Person: Academic

EPSRC Fellowship in Manufacturing: Controlling Geometrical Variability of Products for Manufacturing
Scott, P.
1/09/13 → 31/12/18
Project: Research
Future Advanced Metrology Hub
Jiang, J., Martin, H., Longstaff, A., Kadirkamanathan, V., Turner, M. S., Keogh, P., Scott, P., McLeay, T. E., Blunt, L., Zeng, W., Huntley, J. M., Bills, P., Fletcher, S., Gao, F., Coupland, J. M., Kinnell, P., Mahfouf, M. & Mullineux, G.
1/10/16 → 30/09/23
Project: Research

Cite this

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title = "Curvature based sampling of curves and surfaces",

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.",

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AU - Pagani, Luca

AU - Scott, Paul J.

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N2 - 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.

AB - 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.

KW - curvature

KW - NURBS

KW - sampling

U2 - 10.1016/j.cagd.2017.11.004

DO - 10.1016/j.cagd.2017.11.004

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VL - 59

SP - 32

EP - 48

JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

SN - 0167-8396

ER -

Curvature based sampling of curves and surfaces

Abstract

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Profiles

Paul Scott

Projects

EPSRC Fellowship in Manufacturing: Controlling Geometrical Variability of Products for Manufacturing

Future Advanced Metrology Hub

Cite this