Analytic and algebraic properties of canal surfaces
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2006/10/01
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Indian UGC (journal)
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Refrences12
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Citations49
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Zhiqiang Xu
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Renzhong Feng
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Jia-guang Sun
Cite
Xu, Zhiqiang, et al. “Analytic and Algebraic Properties of Canal Surfaces”. Journal of Computational and Applied Mathematics, vol. 195, no. 1-2, 2006, pp. 220-8, https://doi.org/10.1016/j.cam.2005.08.002.
Xu, Z., Feng, R., & Sun, J.- guang. (2006). Analytic and algebraic properties of canal surfaces. Journal of Computational and Applied Mathematics, 195(1-2), 220-228. https://doi.org/10.1016/j.cam.2005.08.002
Xu Z, Feng R, Sun J guang. Analytic and algebraic properties of canal surfaces. Journal of Computational and Applied Mathematics. 2006;195(1-2):220-8.
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 |
|---|---|---|---|---|
| Clifford algebra, Lorentzian geometry, and rational parametrization of canal surfaces | Computer Aided Geometric Design |
| 27 | 2004 |
| The Parametrization of Canal Surfaces and the Decomposition of Polynomials into a Sum of Two Squares | Journal of Symbolic Computation |
| 18 | 2001 |
| Computing Rational Parametrizations of Canal Surfaces | Journal of Symbolic Computation |
| 71 | 1997 |
| Approximation of rolling-ball blends for free-form parametric surfaces | Computer-Aided Design |
| 31 | 1996 |
| Algebraic properties of plane offset curves | 1990 |
Refrences Analysis
The category
Technology: Engineering (General). Civil engineering (General) 4
is the most frequently represented among the references in this article. It primarily includes studies from Journal of Symbolic Computation 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 |
|---|---|---|---|---|
Tubular surface generated by a curve lying on a regular surface and its characterizations | AIMS Mathematics | 2024 | ||
Geometry of tubular surfaces and their focal surfaces in Euclidean 3-space | AIMS Mathematics | 2024 | ||
| Uniqueness of the Catenoid and the Delaunay Surface via a One-Parameter Family of Touching Spheres | Results in Mathematics |
| 2023 | |
| Canal surfaces generated by special curves and quaternions | Afrika Matematika |
| 2023 | |
| Involutive sweeping surfaces with Frenet frame in Euclidean 3-space | Heliyon | 2 | 2023 |
Citations Analysis
The category
Science: Mathematics 31
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Kinematic Geometry of Circular Surfaces With a Fixed Radius Based on Euclidean Invariants and was published in 2009. The most recent citation comes from a 2024 study titled Geometry of tubular surfaces and their focal surfaces in Euclidean 3-space. This article reached its peak citation in 2023, with 9 citations. It has been cited in 32 different journals, 21% of which are open access. Among related journals, the Symmetry cited this research the most, with 5 citations. The chart below illustrates the annual citation trends for this article.