Fairing cubic B-spline curves

G. Farin; G. Rein; N. Sapidis; A. J. Worsey

doi:10.1016/0167-8396(87)90027-6

Fairing cubic B-spline curves

G. Farin, G. Rein, N. Sapidis, A. J. Worsey

Computing and Augmented Intelligence, School of (IAFSE-SCAI)

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

126 Scopus citations

Abstract

Algorithms are presented for locally fairing a B-spline curve in order to produce a pleasant curvature plot. The methods are based on inversions of the knot insertion algorithm for B-spline curves.

Original language	English (US)
Pages (from-to)	91-103
Number of pages	13
Journal	Computer Aided Geometric Design
Volume	4
Issue number	1-2
DOIs	https://doi.org/10.1016/0167-8396(87)90027-6
State	Published - Jul 1987

Keywords

B-splines
curvature
knot insertion
knot removal
smoothing

ASJC Scopus subject areas

Modeling and Simulation
Automotive Engineering
Aerospace Engineering
Computer Graphics and Computer-Aided Design

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10.1016/0167-8396(87)90027-6

Cite this

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title = "Fairing cubic B-spline curves",

abstract = "Algorithms are presented for locally fairing a B-spline curve in order to produce a pleasant curvature plot. The methods are based on inversions of the knot insertion algorithm for B-spline curves.",

keywords = "B-splines, curvature, knot insertion, knot removal, smoothing",

author = "G. Farin and G. Rein and N. Sapidis and Worsey, {A. J.}",

note = "Funding Information: This researchw as supportedin part by the Departmenot f Energy with Contract no. DE-AC02-85ER120 46 and by NSF grantD CR-8502858to the Universityo f Utah. N. Sapidis was supportedb y a scholarshifpr om the BODOSSAKI foundationin Athens,G reece.",

year = "1987",

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doi = "10.1016/0167-8396(87)90027-6",

language = "English (US)",

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T1 - Fairing cubic B-spline curves

AU - Farin, G.

AU - Rein, G.

AU - Sapidis, N.

AU - Worsey, A. J.

N1 - Funding Information: This researchw as supportedin part by the Departmenot f Energy with Contract no. DE-AC02-85ER120 46 and by NSF grantD CR-8502858to the Universityo f Utah. N. Sapidis was supportedb y a scholarshifpr om the BODOSSAKI foundationin Athens,G reece.

PY - 1987/7

Y1 - 1987/7

N2 - Algorithms are presented for locally fairing a B-spline curve in order to produce a pleasant curvature plot. The methods are based on inversions of the knot insertion algorithm for B-spline curves.

AB - Algorithms are presented for locally fairing a B-spline curve in order to produce a pleasant curvature plot. The methods are based on inversions of the knot insertion algorithm for B-spline curves.

KW - B-splines

KW - curvature

KW - knot insertion

KW - knot removal

KW - smoothing

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JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

IS - 1-2

ER -

Fairing cubic B-spline curves

Abstract

Keywords

ASJC Scopus subject areas

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