On the Parameterization of Rational Ringed Surfaces and Rational Canal Surfaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10289179" target="_blank" >RIV/00216208:11320/14:10289179 - isvavai.cz</a>

Alternative codes found

RIV/49777513:23520/14:43922212

Result on the web

<a href="http://dx.doi.org/10.1007/s11786-014-0192-y" target="_blank" >http://dx.doi.org/10.1007/s11786-014-0192-y</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11786-014-0192-y" target="_blank" >10.1007/s11786-014-0192-y</a>

Result language

angličtina

Original language name

On the Parameterization of Rational Ringed Surfaces and Rational Canal Surfaces

Original language description

Ringed surfaces and canal surfaces are surfaces that contain a one-parameter family of circles. Ringed surfaces can be described by a radius function, a directrix curve and vector field along the directrix curve, which specifies the normals of the planesthat contain the circles. In particular, the class of ringed surfaces includes canal surfaces, which can be obtained as the envelopes of a one-parameter family of spheres. Consequently, canal surfaces can be described by a spine curve and a radius function. We present parameterization algorithms for rational ringed surfaces and rational canal surfaces. It is shown that these algorithms may generate any rational parameterization of a ringed (or canal) surface with the property that one family of parameter lines consists of circles. These algorithms are used to obtain rational parameterizations for Darboux cyclides and to construct blends between pairs of canal surfaces and pairs of ringed surfaces.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/ED1.1.00%2F02.0090" target="_blank" >ED1.1.00/02.0090: NTIS - New Technologies for Information Society</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematics in Computer Science

ISSN

1661-8270

e-ISSN

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Volume of the periodical

8

Issue of the periodical within the volume

2

Country of publishing house

CH - SWITZERLAND

Number of pages

21

Pages from-to

299-319

UT code for WoS article

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EID of the result in the Scopus database

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