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Title:Pythagorean-hodograph cycloidal curves
Authors:ID Kozak, Jernej (Author)
ID Knez, Marjetka (Author)
ID Rogina, Mladen (Author)
ID Vitrih, Vito (Author)
Files:URL http://dx.doi.org/10.1515/jnma-2015-0023
 
Language:English
Work type:Not categorized
Typology:1.01 - Original Scientific Article
Organization:IAM - Andrej Marušič Institute
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.
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
Year of publishing:2015
Number of pages:345-360
Numbering:Vol. 23, no. 4
PID:20.500.12556/RUP-8409 This link opens in a new window
ISSN:1570-2820
UDC:519.651
DOI:10.1515/jnma-2015-0023 This link opens in a new window
COBISS.SI-ID:1538069188 This link opens in a new window
Publication date in RUP:08.08.2016
Views:3322
Downloads:202
Metadata:XML DC-XML DC-RDF
:
KOZAK, Jernej, KNEZ, Marjetka, ROGINA, Mladen and VITRIH, Vito, 2015, Pythagorean-hodograph cycloidal curves. [online]. 2015. Vol. 23, no. 4, p. 345–360. [Accessed 5 April 2025]. DOI 10.1515/jnma-2015-0023. Retrieved from: http://dx.doi.org/10.1515/jnma-2015-0023
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