Optimal Intersection Curves for Surfaces
In this article, an algorithm has been established to approximate parametric-parametric, explicit-implicit, and explicit-explicit surface intersection. Foremost, it extracts the characteristic points (boundary and turning points) from the sequence of intersection points and fits an optimal cubic spl...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9945984 |
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| _version_ | 1832545917814702080 |
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| author | Jiwen Gao Faiza Sarfraz Misbah Irshad Jia-Bao Liu |
| author_facet | Jiwen Gao Faiza Sarfraz Misbah Irshad Jia-Bao Liu |
| author_sort | Jiwen Gao |
| collection | DOAJ |
| description | In this article, an algorithm has been established to approximate parametric-parametric, explicit-implicit, and explicit-explicit surface intersection. Foremost, it extracts the characteristic points (boundary and turning points) from the sequence of intersection points and fits an optimal cubic spline curve to these points. Moreover, this paper utilizes genetic algorithm (GA) for optimization of shape parameters in the portrayal of cubic spline so that the error is minimal. The proposed algorithm is demonstrated with different types of surfaces to analyze its robustness and proficiency. In the end, all illustrations show the effectiveness of the algorithm which makes it more influential to resolve all complexities arises during intersection with a minimal error. |
| format | Article |
| id | doaj-art-518a23adc0a64e08ae66e7bba65ce6c4 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-518a23adc0a64e08ae66e7bba65ce6c42025-02-03T07:24:24ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99459849945984Optimal Intersection Curves for SurfacesJiwen Gao0Faiza Sarfraz1Misbah Irshad2Jia-Bao Liu3College of Modern Service Industry, Hefei College of Finance & Economics, Hefei 230601, ChinaDepartment of Mathematics, Lahore College for Women University, Lahore, PakistanDepartment of Mathematics, Lahore College for Women University, Lahore, PakistanSchool of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, P.R., ChinaIn this article, an algorithm has been established to approximate parametric-parametric, explicit-implicit, and explicit-explicit surface intersection. Foremost, it extracts the characteristic points (boundary and turning points) from the sequence of intersection points and fits an optimal cubic spline curve to these points. Moreover, this paper utilizes genetic algorithm (GA) for optimization of shape parameters in the portrayal of cubic spline so that the error is minimal. The proposed algorithm is demonstrated with different types of surfaces to analyze its robustness and proficiency. In the end, all illustrations show the effectiveness of the algorithm which makes it more influential to resolve all complexities arises during intersection with a minimal error.http://dx.doi.org/10.1155/2021/9945984 |
| spellingShingle | Jiwen Gao Faiza Sarfraz Misbah Irshad Jia-Bao Liu Optimal Intersection Curves for Surfaces Journal of Mathematics |
| title | Optimal Intersection Curves for Surfaces |
| title_full | Optimal Intersection Curves for Surfaces |
| title_fullStr | Optimal Intersection Curves for Surfaces |
| title_full_unstemmed | Optimal Intersection Curves for Surfaces |
| title_short | Optimal Intersection Curves for Surfaces |
| title_sort | optimal intersection curves for surfaces |
| url | http://dx.doi.org/10.1155/2021/9945984 |
| work_keys_str_mv | AT jiwengao optimalintersectioncurvesforsurfaces AT faizasarfraz optimalintersectioncurvesforsurfaces AT misbahirshad optimalintersectioncurvesforsurfaces AT jiabaoliu optimalintersectioncurvesforsurfaces |