Medial axis transforms yielding rational envelopes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43929006" target="_blank" >RIV/49777513:23520/16:43929006 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S016783961630053X" target="_blank" >http://www.sciencedirect.com/science/article/pii/S016783961630053X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cagd.2016.05.006" target="_blank" >10.1016/j.cagd.2016.05.006</a>

Result language
angličtina
Original language name
Medial axis transforms yielding rational envelopes
Original language description
Minkowski Pythagorean hodograph (MPH) curves provide a means for representing domains with rational boundaries via the medial axis transform. Based on the observation that MPH curves are not the only curves that yield rational envelopes, we define and study rational envelope (RE) curves that generalise MPH curves while maintaining the rationality of their associated envelopes. To demonstrate the utility of RE curves, we design a simple interpolation algorithm using RE curves, which is in turn used to produce rational surface blends between canal surfaces. Additionally, we initiate the study of rational envelope surfaces as a surface analogy to RE curves.
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
—

Project
<a href="/en/project/LO1506" target="_blank" >LO1506: Sustainability support of the centre NTIS - New Technologies for the Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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