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ToolsYou, X., Tian, F. and Tang, W., 2018. A unified approach to blending of constant and varying parametric surfaces with curvature continuity. In: Computer Graphics International (CGI), 11-14 June 2018, Bintan, Indonesia.
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Abstract
In this paper, we develop a new approach to blending of constant and varying parametric surfaces with curvature continuity. We propose a new mathematical model consisting of a vector-valued sixth-order partial differential equation (PDE) and time-dependent blending boundary constraints, and develop an approximate analytical solution of the mathematical model. The good accuracy and high computational efficiency are demonstrated by comparing the new approximate analytical solution with the corresponding accurate closed form solution. We also investigate the influence of the second partial derivatives on the continuity at trimlines, and apply the new approximate analytical solution in blending of constant and varying parametric surfaces with curvature continuity
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | surface blending; constant and varying parametric surfaces; curvature continuity; sixth-order partial differential equations; approximate analytical solution; |
| Group: | Faculty of Science & Technology |
| ID Code: | 31146 |
| Deposited By: | Symplectic RT2 |
| Deposited On: | 24 Aug 2018 14:21 |
| Last Modified: | 14 Mar 2022 14:12 |
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