Theory and Modern Applications
Sr. no | Existing method [11] | Proposed method |
---|---|---|
1 | Hu et al. presented the SG-Bernstein basis functions of order n with multiple shape parameters. | The GBTB functions are constructed with only two shape parameters. |
2 | Only simple SG-Bézier general cylinder has been constructed. | Two GBT-Bézier general cylinders can be connected by higher \(C^{2}\) continuity smoothness. |
3 | Two SG-Bézier ruled surface patches have been connected by only \(C^{1}\) continuity. | Two GBT-Bézier ruled surfaces can be connected by higher \(C^{k}\) (k = 2,3) continuity constraints. |
4 | Two adjacent SG-Bézier swung surface patches have been connected by only \(C^{1}\) continuity. | Two adjacent GBT-Bézier swung surfaces can be connected by higher \(C^{2}\) continuity conditions. |
5 | Composition of two SG-Bézier swept surfaces by only \(C^{0}\) continuity conditions. | Two adjacent GBT-Bézier swept surfaces can be connected by higher \(C^{1}\) and \(C^{2}\) continuity smoothness. |
6 | No set of algorithms has been constructed. | A set of algorithms can be constructed for explaining how to enforce these engineering surfaces in practice. |