| dc.contributor.author |
Maekawa, T |
en |
| dc.contributor.author |
Patrikalakis, NM |
en |
| dc.contributor.author |
Sakkalis, T |
en |
| dc.contributor.author |
Yu, G |
en |
| dc.date.accessioned |
2014-06-06T06:43:35Z |
|
| dc.date.available |
2014-06-06T06:43:35Z |
|
| dc.date.issued |
1998 |
en |
| dc.identifier.issn |
01678396 |
en |
| dc.identifier.uri |
http://62.217.125.90/xmlui/handle/123456789/1381 |
|
| dc.relation.uri |
http://www.scopus.com/inward/record.url?eid=2-s2.0-0032074009&partnerID=40&md5=69704c20261045df37d3f3b06b963b7c |
en |
| dc.subject |
Global self-intersection |
en |
| dc.subject |
Local self-intersection |
en |
| dc.subject |
Pipe surface |
en |
| dc.subject |
Rational parametrization |
en |
| dc.subject.other |
Algorithms |
en |
| dc.subject.other |
Computer aided design |
en |
| dc.subject.other |
Functions |
en |
| dc.subject.other |
Image reconstruction |
en |
| dc.subject.other |
Motion planning |
en |
| dc.subject.other |
Global self intersection |
en |
| dc.subject.other |
Local self intersection |
en |
| dc.subject.other |
Pipe surfaces |
en |
| dc.subject.other |
Rational parametrization |
en |
| dc.subject.other |
Computational geometry |
en |
| dc.title |
Analysis and applications of pipe surfaces |
en |
| heal.type |
journalArticle |
en |
| heal.publicationDate |
1998 |
en |
| heal.abstract |
A pipe (or tubular) surface is the envelope of a one-parameter family of spheres with constant radii r and centers C(t). In this paper we investigate necessary and sufficient conditions for the nonsingularity of pipe surfaces. In addition, when C(t) is a rational function, we develop an algorithmic method for the rational parametrization of such a surface. The latter is based on finding two rational functions α(t) and β(t) such that |C′(t)| 2 = α 2(t) + β 2(t) (Lü and Pottmann, 1996). © 1998 Elsevier Science B.V. |
en |
| heal.journalName |
Computer Aided Geometric Design |
en |
| dc.identifier.issue |
5 |
en |
| dc.identifier.volume |
15 |
en |
| dc.identifier.spage |
437 |
en |
| dc.identifier.epage |
458 |
en |