| Title: | Pythagorean-hodograph cycloidal curves |
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| Authors: | ID Kozak, Jernej (Author)
ID Knez, Marjetka (Author)
ID Rogina, Mladen (Author)
ID Vitrih, Vito (Author) |
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| Files: |  http://dx.doi.org/10.1515/jnma-2015-0023
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | IAM - Andrej Marušič Institute
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| Abstract: | In the paper, Pythagorean-hodograph cycloidal curves as an extension of PH cubics are introduced. Their properties are examined and a constructive geometric characterization is established. Further, PHC curves are applied in the Hermite interpolation, with closed form solutions been determined. The asymptotic approximation order analysis carried out indicates clearly which interpolatory curve solution should be selected in practice. This makes the curves introduced here a useful practical tool, in particular in algorithms that guide CNC machines. |
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| Keywords: | pitagorejski hodograf, C-krivulje, trigonometrične funkcije, karakterizacija, Hermiteova interpolacija, asimptotični red aproksimacije, Pythagorean-hodograph, C-curves, trigonometric functions, characterization, Hermite interpolation, asymptotic approximation order |
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| Year of publishing: | 2015 |
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| Number of pages: | 345-360 |
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| Numbering: | Vol. 23, no. 4 |
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| PID: | 20.500.12556/RUP-8409  |
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| ISSN: | 1570-2820 |
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| UDC: | 519.651 |
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| DOI: | 10.1515/jnma-2015-0023 |
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| COBISS.SI-ID: | 1538069188 |
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| Publication date in RUP: | 08.08.2016 |
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| Views: | 3037 |
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| Downloads: | 200 |
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| Metadata: |    |
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