A Sampling Strategy Based on B-wavelets Decomposition

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Finding optimal sampling strategy is a central problem in surface reconstruction. In this paper a sampling strategy on different scales of a free-form surface is proposed. Non-Uniform Rational B-spline (NURBS) surfaces are used to represent the nominal shape; the decomposition is performed through the orthogonal B-wavelet basis. A sampling based on each level of the shape decomposition is then proposed to detect the points of interest that reflect the variations between different levels. The number of the samples is selected according to the complexity of the shape, which is represented by the number of the internal knots.

Original languageEnglish
Pages (from-to)29-34
Number of pages6
JournalProcedia CIRP
Volume43
Early online date9 May 2016
DOIs
Publication statusPublished - 2016

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Wavelet decomposition
Sampling
Surface reconstruction
Splines

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title = "A Sampling Strategy Based on B-wavelets Decomposition",
abstract = "Finding optimal sampling strategy is a central problem in surface reconstruction. In this paper a sampling strategy on different scales of a free-form surface is proposed. Non-Uniform Rational B-spline (NURBS) surfaces are used to represent the nominal shape; the decomposition is performed through the orthogonal B-wavelet basis. A sampling based on each level of the shape decomposition is then proposed to detect the points of interest that reflect the variations between different levels. The number of the samples is selected according to the complexity of the shape, which is represented by the number of the internal knots.",
keywords = "B-splines, B-wavelets, Curve Reconstruction, Decomposition, Sampling, Surface Reconstruction",
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A Sampling Strategy Based on B-wavelets Decomposition. / Pagani, Luca; Scott, Paul J.

In: Procedia CIRP, Vol. 43, 2016, p. 29-34.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A Sampling Strategy Based on B-wavelets Decomposition

AU - Pagani, Luca

AU - Scott, Paul J.

PY - 2016

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N2 - Finding optimal sampling strategy is a central problem in surface reconstruction. In this paper a sampling strategy on different scales of a free-form surface is proposed. Non-Uniform Rational B-spline (NURBS) surfaces are used to represent the nominal shape; the decomposition is performed through the orthogonal B-wavelet basis. A sampling based on each level of the shape decomposition is then proposed to detect the points of interest that reflect the variations between different levels. The number of the samples is selected according to the complexity of the shape, which is represented by the number of the internal knots.

AB - Finding optimal sampling strategy is a central problem in surface reconstruction. In this paper a sampling strategy on different scales of a free-form surface is proposed. Non-Uniform Rational B-spline (NURBS) surfaces are used to represent the nominal shape; the decomposition is performed through the orthogonal B-wavelet basis. A sampling based on each level of the shape decomposition is then proposed to detect the points of interest that reflect the variations between different levels. The number of the samples is selected according to the complexity of the shape, which is represented by the number of the internal knots.

KW - B-splines

KW - B-wavelets

KW - Curve Reconstruction

KW - Decomposition

KW - Sampling

KW - Surface Reconstruction

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DO - 10.1016/j.procir.2016.01.028

M3 - Article

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JO - Procedia CIRP

JF - Procedia CIRP

SN - 2212-8271

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