Smoothing Connected Ball Bézier Curves by Energy Minimization
In this paper, we aim at smoothing two connected ball Bézier curves from Cr−1 to Crr≥1 by minimizing the energies of the curves. We propose the algorithms based on internal energy minimization and curve attractor minimization. Then, we combine the internal energy and the curve attractor and give the...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/7669483 |
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| _version_ | 1832551129502711808 |
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| author | Juncheng Li Chengzhi Liu |
| author_facet | Juncheng Li Chengzhi Liu |
| author_sort | Juncheng Li |
| collection | DOAJ |
| description | In this paper, we aim at smoothing two connected ball Bézier curves from Cr−1 to Crr≥1 by minimizing the energies of the curves. We propose the algorithms based on internal energy minimization and curve attractor minimization. Then, we combine the internal energy and the curve attractor and give the algorithm based on combined energy minimization. All algorithms are established by solving bi-objective minimizations. Some numerical examples show that the proposed algorithms are effective, making them useful for smoothing 3D objects constructed by connected ball Bézier curves. |
| format | Article |
| id | doaj-art-9a0aaab2ef924df384c262d36ef4d575 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-9a0aaab2ef924df384c262d36ef4d5752025-02-03T06:04:54ZengWileyComplexity1099-05262022-01-01202210.1155/2022/7669483Smoothing Connected Ball Bézier Curves by Energy MinimizationJuncheng Li0Chengzhi Liu1College of Mathematics and FinanceCollege of Mathematics and FinanceIn this paper, we aim at smoothing two connected ball Bézier curves from Cr−1 to Crr≥1 by minimizing the energies of the curves. We propose the algorithms based on internal energy minimization and curve attractor minimization. Then, we combine the internal energy and the curve attractor and give the algorithm based on combined energy minimization. All algorithms are established by solving bi-objective minimizations. Some numerical examples show that the proposed algorithms are effective, making them useful for smoothing 3D objects constructed by connected ball Bézier curves.http://dx.doi.org/10.1155/2022/7669483 |
| spellingShingle | Juncheng Li Chengzhi Liu Smoothing Connected Ball Bézier Curves by Energy Minimization Complexity |
| title | Smoothing Connected Ball Bézier Curves by Energy Minimization |
| title_full | Smoothing Connected Ball Bézier Curves by Energy Minimization |
| title_fullStr | Smoothing Connected Ball Bézier Curves by Energy Minimization |
| title_full_unstemmed | Smoothing Connected Ball Bézier Curves by Energy Minimization |
| title_short | Smoothing Connected Ball Bézier Curves by Energy Minimization |
| title_sort | smoothing connected ball bezier curves by energy minimization |
| url | http://dx.doi.org/10.1155/2022/7669483 |
| work_keys_str_mv | AT junchengli smoothingconnectedballbeziercurvesbyenergyminimization AT chengzhiliu smoothingconnectedballbeziercurvesbyenergyminimization |