Smooth curves under tension

H. Pottmann

doi:10.1016/0010-4485(90)90053-F

Smooth curves under tension

H. Pottmann^*

^*Corresponding author for this work

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

6 Scopus citations

Abstract

A new type of interpolating spline under tension is presented. The curves are obtained by a variational formulation. Unlike the closely related tau-splines, they possess third order parametric continuity and a smooth torsion plot. The special case of uniform tension parameters yield even spline curves with fourth order geometric continuity.

Original language	English (US)
Pages (from-to)	241-245
Number of pages	5
Journal	Computer-Aided Design
Volume	22
Issue number	4
DOIs	https://doi.org/10.1016/0010-4485(90)90053-F
State	Published - May 1990
Externally published	Yes

Keywords

curve design
geometric continuity
geometric modeling
spline under tension

ASJC Scopus subject areas

Computer Science Applications
Computer Graphics and Computer-Aided Design
Industrial and Manufacturing Engineering

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10.1016/0010-4485(90)90053-F

Cite this

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title = "Smooth curves under tension",

abstract = "A new type of interpolating spline under tension is presented. The curves are obtained by a variational formulation. Unlike the closely related tau-splines, they possess third order parametric continuity and a smooth torsion plot. The special case of uniform tension parameters yield even spline curves with fourth order geometric continuity.",

keywords = "curve design, geometric continuity, geometric modeling, spline under tension",

author = "H. Pottmann",

year = "1990",

month = may,

doi = "10.1016/0010-4485(90)90053-F",

language = "English (US)",

volume = "22",

pages = "241--245",

journal = "Computer-Aided Design",

issn = "0010-4485",

publisher = "Elsevier Ltd",

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T1 - Smooth curves under tension

AU - Pottmann, H.

PY - 1990/5

Y1 - 1990/5

N2 - A new type of interpolating spline under tension is presented. The curves are obtained by a variational formulation. Unlike the closely related tau-splines, they possess third order parametric continuity and a smooth torsion plot. The special case of uniform tension parameters yield even spline curves with fourth order geometric continuity.

AB - A new type of interpolating spline under tension is presented. The curves are obtained by a variational formulation. Unlike the closely related tau-splines, they possess third order parametric continuity and a smooth torsion plot. The special case of uniform tension parameters yield even spline curves with fourth order geometric continuity.

KW - curve design

KW - geometric continuity

KW - geometric modeling

KW - spline under tension

UR - http://www.scopus.com/inward/record.url?scp=0025432065&partnerID=8YFLogxK

U2 - 10.1016/0010-4485(90)90053-F

DO - 10.1016/0010-4485(90)90053-F

M3 - Article

AN - SCOPUS:0025432065

SN - 0010-4485

VL - 22

SP - 241

EP - 245

JO - Computer-Aided Design

JF - Computer-Aided Design

IS - 4

ER -

Smooth curves under tension

Abstract

Keywords

ASJC Scopus subject areas

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