A characterization of quintic helices

Article Properties
Cite
Beltran, J.V., and J. Monterde. “A Characterization of Quintic Helices”. Journal of Computational and Applied Mathematics, vol. 206, no. 1, 2007, pp. 116-21, https://doi.org/10.1016/j.cam.2006.06.001.
Beltran, J., & Monterde, J. (2007). A characterization of quintic helices. Journal of Computational and Applied Mathematics, 206(1), 116-121. https://doi.org/10.1016/j.cam.2006.06.001
Beltran J, Monterde J. A characterization of quintic helices. Journal of Computational and Applied Mathematics. 2007;206(1):116-21.
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Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
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Clifford algebra, spin representation, and rational parametrization of curves and surfaces Advances in Computational Mathematics
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 2002
Curves with rational Frenet–Serret motion 1997
Differential Geometry of Curves and Surfaces 1976
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Citations
Title Journal Journal Categories Citations Publication Date
DARBOUX ASSOCIATE CURVES OF SPACELIKE CURVES IN E_1^3

 Journal of Science and Arts
  • Science: Science (General)
 2024
On the quaternionic osculating direction curves

 International Journal of Geometric Methods in Modern Physics
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  • Science: Physics
 2022
Spatial quintic Pythagorean-hodograph interpolants to first-order Hermite data and Frenet frames Computer Aided Geometric Design
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 2021
Planar projections of spatial Pythagorean-hodograph curves Computer Aided Geometric Design
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  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
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 1 2021
Mapping rational rotation-minimizing frames from polynomial curves on to rational curves Computer Aided Geometric Design
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  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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Citations Analysis
Category Category Repetition
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods15
Science: Mathematics: Instruments and machines: Electronic computers. Computer science13
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software11
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware11
Science: Mathematics9
Science: Science (General)3
Technology: Engineering (General). Civil engineering (General)2
Science: Chemistry1
Science: Physics1
The category Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods 15 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A characterization of helical polynomial curves of any degree and was published in 2008. The most recent citation comes from a 2024 study titled DARBOUX ASSOCIATE CURVES OF SPACELIKE CURVES IN E_1^3. This article reached its peak citation in 2009, with 6 citations. It has been cited in 11 different journals, 18% of which are open access. Among related journals, the Computer Aided Geometric Design cited this research the most, with 10 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year