A note on the rational parameterization of algebraic curves in Mathematica
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F09%3A00501717" target="_blank" >RIV/49777513:23520/09:00501717 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
A note on the rational parameterization of algebraic curves in Mathematica
Original language description
The choice of an appropriate representation of geometric objects (explicit, parametric, or implicit one) is a fundamental issue for the development of efficient algorithms. Whereas for example Computer Graphics seem to use all the above mentioned representations, CAD focuses on a few of them -- mainly on the parametric one. Among all parameterizations, the most important ones are those that can be described with the help of polynomials or rational functions since these descriptions can be easily included into standard CAD systems and then used in technical applications. The main aim of the paper is to describe an efficient algorithm which can be used for finding rational parameterizations of special classes of algebraic curves. Some advantages and disadvantages of the presented method will be discussed.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů