SMOOTH CURVES APPROXIMATION BY CHORD-LENGTH CURVES
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F12%3A43918197" target="_blank" >RIV/49777513:23520/12:43918197 - 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
SMOOTH CURVES APPROXIMATION BY CHORD-LENGTH CURVES
Original language description
This paper is devoted to one practical application of planar rational curves with chord length parameterization (shortly RCL curves). Rational curves with chord length parameterizations are a chord-length analogy to the socalled Pythagorean-hodograph curves characterized by closed form formulas for their arc-lengths. They represent a new representation of objects in CAGD which can be used for formulating alternative modelling techniques. Using the universal formula for planar RCL curves, we design a simple G1 Hermite interpolation algorithm based on solving a small system of linear equations. In particular, we show how to approximate a general planar curve using arcs of RCL curves. The efficiency of the designed method is presented on two particular examples.
Czech name
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Czech description
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Classification
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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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Aplimat - Journal of Applied Mathematics
ISSN
1337-6365
e-ISSN
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Volume of the periodical
5
Issue of the periodical within the volume
3
Country of publishing house
SK - SLOVAKIA
Number of pages
10
Pages from-to
57-66
UT code for WoS article
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EID of the result in the Scopus database
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