Curvature based sampling of curves and surfaces

Research output: Contribution to journalArticle

7 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 languageEnglish
Pages (from-to)32-48
Number of pages17
JournalComputer Aided Geometric Design
Volume59
Early online date2 Dec 2017
DOIs
Publication statusPublished - 1 Jan 2018

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Curves and Surfaces
Curvature
Sampling
Sampling Methods
Curve
B-spline
Inspection
Splines
Regularity

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.",
keywords = "curvature, NURBS, sampling",
author = "Luca Pagani and Scott, {Paul J.}",
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Curvature based sampling of curves and surfaces. / Pagani, Luca; Scott, Paul J.

In: Computer Aided Geometric Design, Vol. 59, 01.01.2018, p. 32-48.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Curvature based sampling of curves and surfaces

AU - Pagani, Luca

AU - Scott, Paul J.

PY - 2018/1/1

Y1 - 2018/1/1

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

M3 - Article

VL - 59

SP - 32

EP - 48

JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

SN - 0167-8396

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