# 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 language English 32-48 17 Computer Aided Geometric Design 59 2 Dec 2017 https://doi.org/10.1016/j.cagd.2017.11.004 Published - 1 Jan 2018

### Fingerprint

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

### Cite this

@article{88c1421300e84771848bb11e2b4bd51c,
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.}",
year = "2018",
month = "1",
day = "1",
doi = "10.1016/j.cagd.2017.11.004",
language = "English",
volume = "59",
pages = "32--48",
journal = "Computer Aided Geometric Design",
issn = "0167-8396",
publisher = "Elsevier",

}

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

ER -