Characterization and construction of helical polynomial space curves
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2004/01/01
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Indian UGC (journal)
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Refrences34
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Citations40
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Rida T. Farouki
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Chang Yong Han
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Carla Manni
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Alessandra Sestini
Cite
Farouki, Rida T., et al. “Characterization and Construction of Helical Polynomial Space Curves”. Journal of Computational and Applied Mathematics, vol. 162, no. 2, 2004, pp. 365-92, https://doi.org/10.1016/j.cam.2003.08.030.
Farouki, R. T., Han, C. Y., Manni, C., & Sestini, A. (2004). Characterization and construction of helical polynomial space curves. Journal of Computational and Applied Mathematics, 162(2), 365-392. https://doi.org/10.1016/j.cam.2003.08.030
Farouki RT, Han CY, Manni C, Sestini A. Characterization and construction of helical polynomial space curves. Journal of Computational and Applied Mathematics. 2004;162(2):365-92.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| A menagerie of rational B-spline circles | IEEE Computer Graphics and Applications |
| 37 | 1989 |
| Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves | Graphical Models |
| 2002 | |
| Euler–Rodrigues frames on spatial Pythagorean-hodograph curves | 2002 | |||
| Structural invariance of spatial Pythagorean hodographs | 2002 | |||
| Clifford algebra, spin representation, and rational parameterization of curves and surfaces | Advances in Computational Mathematics |
| 2002 |
Refrences Analysis
The category
Science: Mathematics 6
is the most frequently represented among the references in this article. It primarily includes studies from Advances in Computational Mathematics The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
DARBOUX ASSOCIATE CURVES OF SPACELIKE CURVES IN E_1^3 | Journal of Science and Arts |
| 2024 | |
| Optimal interpolation with spatial rational Pythagorean hodograph curves | Applied Mathematics and Computation |
| 2023 | |
Survey of Hermite Interpolating Polynomials for the Solution of Differential Equations | Mathematics |
| 1 | 2023 |
| 3D-printed in-line and out-of-plane layers with stimuli-responsive intelligence | Composites Part B: Engineering |
| 9 | 2022 |
Simultaneous characterizations of partner ruled surfaces using Flc frame | AIMS Mathematics | 21 | 2022 |
Citations Analysis
The category
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods 28
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled First order hermite interpolation with spherical Pythagorean-hodograph curves and was published in 2007. 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 20 different journals, 15% of which are open access. Among related journals, the Computer Aided Geometric Design cited this research the most, with 15 citations. The chart below illustrates the annual citation trends for this article.