Construction of Regular Developable Bézier Patches
The modeling of developable surfaces is considered a very important application in plat-metal-based industries. Relating to the purpose, this discussion aims to obtain some formulas for constructing the regular developable Bézier patches, in which each boundary curve must be laid in two p...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-01-01
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| Series: | Mathematical and Computational Applications |
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| Online Access: | http://www.mdpi.com/2297-8747/24/1/4 |
| _version_ | 1818608528848322560 |
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| author | Kusno |
| author_facet | Kusno |
| author_sort | Kusno |
| collection | DOAJ |
| description | The modeling of developable surfaces is considered a very important application in plat-metal-based industries. Relating to the purpose, this discussion aims to obtain some formulas for constructing the regular developable Bézier patches, in which each boundary curve must be laid in two parallel planes. The results as follows: We find some formulas of the equation systems that are described by the constant, linear, and quadratic control parameters of the regular developable Bézier patches criteria. The new approach is numerically tested for constructing the regular developable Bézier patches, in which their boundary curves are defined, respectively, by the combination of four, five, and six degrees. |
| first_indexed | 2024-12-16T14:44:05Z |
| format | Article |
| id | doaj.art-0952080a4dd740c6b68433f880386c6f |
| institution | Directory Open Access Journal |
| issn | 2297-8747 |
| language | English |
| last_indexed | 2024-12-16T14:44:05Z |
| publishDate | 2019-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematical and Computational Applications |
| spelling | doaj.art-0952080a4dd740c6b68433f880386c6f2022-12-21T22:27:49ZengMDPI AGMathematical and Computational Applications2297-87472019-01-01241410.3390/mca24010004mca24010004Construction of Regular Developable Bézier PatchesKusno0Mathematics Department, University of Jember, Jawa Timur 68121, IndonesiaThe modeling of developable surfaces is considered a very important application in plat-metal-based industries. Relating to the purpose, this discussion aims to obtain some formulas for constructing the regular developable Bézier patches, in which each boundary curve must be laid in two parallel planes. The results as follows: We find some formulas of the equation systems that are described by the constant, linear, and quadratic control parameters of the regular developable Bézier patches criteria. The new approach is numerically tested for constructing the regular developable Bézier patches, in which their boundary curves are defined, respectively, by the combination of four, five, and six degrees.http://www.mdpi.com/2297-8747/24/1/4regulardevelopable Bézier patchescontrol parameter |
| spellingShingle | Kusno Construction of Regular Developable Bézier Patches Mathematical and Computational Applications regular developable Bézier patches control parameter |
| title | Construction of Regular Developable Bézier Patches |
| title_full | Construction of Regular Developable Bézier Patches |
| title_fullStr | Construction of Regular Developable Bézier Patches |
| title_full_unstemmed | Construction of Regular Developable Bézier Patches |
| title_short | Construction of Regular Developable Bézier Patches |
| title_sort | construction of regular developable bezier patches |
| topic | regular developable Bézier patches control parameter |
| url | http://www.mdpi.com/2297-8747/24/1/4 |
| work_keys_str_mv | AT kusno constructionofregulardevelopablebezierpatches |