A novel geometric modeling approach for cubic developable C-Bezier surfaces

被引：1

作者：

Hu, Gang ^{[1
]}

Li, Huinan ^{[1
]}

Hu, Xianzhi ^{[1
]}

机构：

[1] Xian Univ Technol, 5 South Jinhua Rd, Xian 710054, Peoples R China

来源：

JOURNAL OF ADVANCED MECHANICAL DESIGN SYSTEMS AND MANUFACTURING | 2020年 / 14卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Geometric modeling; Developable C-Bezier surfaces; C-Bezier basis functions; Shape parameter; Continuity condition; DESIGN; CURVES;

D O I：

10.1299/jamdsm.2020jamdsm0047

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a novel geometric modeling method is proposed to construct generalized cubic developable C-Bezier (GCDC-Bezier, for short) surfaces with shape parameters. By using the control plane with generalized cubic C-Bezier basis function, the GCDC-Bezier surfaces are designed, and the shape of the surfaces are adjusted by changing its shape parameters. In addition, the necessary and sufficient conditions of G(1) continuity and G(2) Beta smooth continuity between two adjacent GCDC-Bezier surfaces are derived. Finally, we also discuss some properties of the GCDC-Bezier surfaces. The approach proposed in this paper provides a valuable alternative to the existing geometric modeling methods of developable surfaces.

引用

页数：14

共 44 条

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