Parametric Model for Kitchen Product Based on Cubic T-Bézier Curves with Symmetry
The parametric method of product design is a pivotal and practical technique in computer-aided design and manufacturing (CAD/CAM) and used in many manufacturing sectors. In this paper, we presented a novel parametric method to design a kitchen product in the residential environment, a kitchen cabine...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/4/505 |
| _version_ | 1797571796057194496 |
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| author | Xin Sun Xiaomin Ji |
| author_facet | Xin Sun Xiaomin Ji |
| author_sort | Xin Sun |
| collection | DOAJ |
| description | The parametric method of product design is a pivotal and practical technique in computer-aided design and manufacturing (CAD/CAM) and used in many manufacturing sectors. In this paper, we presented a novel parametric method to design a kitchen product in the residential environment, a kitchen cabinet, by using cubic T-Bézier curves with constraints of geometric continuities. First, we introduced a class of cubic T-Bézier curves with two shape parameters and derived the <i>G</i><sup>1</sup> and <i>G</i><sup>2</sup> continuity conditions of the cubic T-Bézier curves. Then, we constructed shape-controlled complex contour curves of the kitchen cabinet by using closed composite cubic T-Bézier curves. The shapes of the contour curves can be adjusted intuitively and predictably by altering the values of the shape parameters. Finally, we studied shape optimization and representation of ellipses for the contour curves of the kitchen cabinet by finding optimal shape parameters and applicable control points respectively. The provided modeling examples showed that our method in this paper can improve the design and scheme adjustment effectively in the conceptual design stage of kitchen products. |
| first_indexed | 2024-03-10T20:45:41Z |
| format | Article |
| id | doaj.art-2a37f723bbb243d58aeed6c1502f461b |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T20:45:41Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-2a37f723bbb243d58aeed6c1502f461b2023-11-19T20:20:31ZengMDPI AGSymmetry2073-89942020-04-0112450510.3390/sym12040505Parametric Model for Kitchen Product Based on Cubic T-Bézier Curves with SymmetryXin Sun0Xiaomin Ji1School of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, ChinaThe parametric method of product design is a pivotal and practical technique in computer-aided design and manufacturing (CAD/CAM) and used in many manufacturing sectors. In this paper, we presented a novel parametric method to design a kitchen product in the residential environment, a kitchen cabinet, by using cubic T-Bézier curves with constraints of geometric continuities. First, we introduced a class of cubic T-Bézier curves with two shape parameters and derived the <i>G</i><sup>1</sup> and <i>G</i><sup>2</sup> continuity conditions of the cubic T-Bézier curves. Then, we constructed shape-controlled complex contour curves of the kitchen cabinet by using closed composite cubic T-Bézier curves. The shapes of the contour curves can be adjusted intuitively and predictably by altering the values of the shape parameters. Finally, we studied shape optimization and representation of ellipses for the contour curves of the kitchen cabinet by finding optimal shape parameters and applicable control points respectively. The provided modeling examples showed that our method in this paper can improve the design and scheme adjustment effectively in the conceptual design stage of kitchen products.https://www.mdpi.com/2073-8994/12/4/505parametric designcubic T-Bézier modelshape parameterkitchen productgeometric continuity conditionscurvature variation energy |
| spellingShingle | Xin Sun Xiaomin Ji Parametric Model for Kitchen Product Based on Cubic T-Bézier Curves with Symmetry Symmetry parametric design cubic T-Bézier model shape parameter kitchen product geometric continuity conditions curvature variation energy |
| title | Parametric Model for Kitchen Product Based on Cubic T-Bézier Curves with Symmetry |
| title_full | Parametric Model for Kitchen Product Based on Cubic T-Bézier Curves with Symmetry |
| title_fullStr | Parametric Model for Kitchen Product Based on Cubic T-Bézier Curves with Symmetry |
| title_full_unstemmed | Parametric Model for Kitchen Product Based on Cubic T-Bézier Curves with Symmetry |
| title_short | Parametric Model for Kitchen Product Based on Cubic T-Bézier Curves with Symmetry |
| title_sort | parametric model for kitchen product based on cubic t bezier curves with symmetry |
| topic | parametric design cubic T-Bézier model shape parameter kitchen product geometric continuity conditions curvature variation energy |
| url | https://www.mdpi.com/2073-8994/12/4/505 |
| work_keys_str_mv | AT xinsun parametricmodelforkitchenproductbasedoncubictbeziercurveswithsymmetry AT xiaominji parametricmodelforkitchenproductbasedoncubictbeziercurveswithsymmetry |