A tetrahedron-based subdivision scheme for spatial G^1 curves

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43923945" target="_blank" >RIV/49777513:23520/15:43923945 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0377042714005809" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0377042714005809</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cam.2014.12.024" target="_blank" >10.1016/j.cam.2014.12.024</a>

Result language
angličtina
Original language name
A tetrahedron-based subdivision scheme for spatial G^1 curves
Original language description
In this paper, we propose a new ''purely geometrical'' interpolatory Hermite subdivision scheme for generating spatial subdivision curves which starts with a sequence of points and associated (unit) tangent vectors. The newly generated point lies insidea certain tetrahedron which is formed by the given Hermite data. The method is local and we prove that, by iterating this refinement procedure, the limit curve is G1 continuous. The additional property of the scheme is that planar data are preserved, i.e., planar subdivision curves are generated for planar initial Hermite data and, moreover, the scheme is circle-preserving.
Czech name
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Czech description
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Type
J<sub>x</sub> - 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
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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