Pipe surfaces with rational spine curve are rational

Wei Lü; Helmut Pottmann

doi:10.1016/0167-8396(95)00051-8

Pipe surfaces with rational spine curve are rational

Wei Lü, Helmut Pottmann^*

^*Corresponding author for this work

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

27 Scopus citations

Abstract

The envelope of the one-parameter set of congruent spheres which are centered at the points of a curve S is a pipe surface with S as spine curve. We prove that pipe surfaces with rational spine curve always admit a rational parameterization and propose an algorithm for its computation.

Original language	English (US)
Pages (from-to)	621-628
Number of pages	8
Journal	Computer Aided Geometric Design
Volume	13
Issue number	7
DOIs	https://doi.org/10.1016/0167-8396(95)00051-8
State	Published - Oct 1996
Externally published	Yes

Keywords

Blend surface
Normal ringed surface
Offset surface
Pipe surface
Pythagorean-hodograph curve
Rational parameterization
Rational surface

ASJC Scopus subject areas

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

Access to Document

10.1016/0167-8396(95)00051-8

Cite this

@article{542fc791ef6542cb8e5865a1c322dbdb,

title = "Pipe surfaces with rational spine curve are rational",

abstract = "The envelope of the one-parameter set of congruent spheres which are centered at the points of a curve S is a pipe surface with S as spine curve. We prove that pipe surfaces with rational spine curve always admit a rational parameterization and propose an algorithm for its computation.",

keywords = "Blend surface, Normal ringed surface, Offset surface, Pipe surface, Pythagorean-hodograph curve, Rational parameterization, Rational surface",

author = "Wei L{\"u} and Helmut Pottmann",

year = "1996",

month = oct,

doi = "10.1016/0167-8396(95)00051-8",

language = "English (US)",

volume = "13",

pages = "621--628",

journal = "Computer Aided Geometric Design",

issn = "0167-8396",

publisher = "Elsevier",

number = "7",

}

TY - JOUR

T1 - Pipe surfaces with rational spine curve are rational

AU - Lü, Wei

AU - Pottmann, Helmut

PY - 1996/10

Y1 - 1996/10

N2 - The envelope of the one-parameter set of congruent spheres which are centered at the points of a curve S is a pipe surface with S as spine curve. We prove that pipe surfaces with rational spine curve always admit a rational parameterization and propose an algorithm for its computation.

AB - The envelope of the one-parameter set of congruent spheres which are centered at the points of a curve S is a pipe surface with S as spine curve. We prove that pipe surfaces with rational spine curve always admit a rational parameterization and propose an algorithm for its computation.

KW - Blend surface

KW - Normal ringed surface

KW - Offset surface

KW - Pipe surface

KW - Pythagorean-hodograph curve

KW - Rational parameterization

KW - Rational surface

UR - http://www.scopus.com/inward/record.url?scp=0030257440&partnerID=8YFLogxK

U2 - 10.1016/0167-8396(95)00051-8

DO - 10.1016/0167-8396(95)00051-8

M3 - Article

AN - SCOPUS:0030257440

SN - 0167-8396

VL - 13

SP - 621

EP - 628

JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

IS - 7

ER -

Pipe surfaces with rational spine curve are rational

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this