| 相邻四片Bezier曲面的C1连续光滑拼接 |
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| 引用本文： | 秦勃,邹新军.相邻四片Bezier曲面的C1连续光滑拼接[J].中国海洋大学学报(自然科学版),2000,30(2). |
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| 作者姓名： | 秦勃 邹新军 |
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| 作者单位： | 青岛海洋大学计算机系,青岛,266003 |
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| 摘 要： | 相邻的多片 Bezier曲面拼接时 ,在边界处容易引起连续性问题。作者提出了一种方法 ,通过构造逼近曲面片 ,在相邻的四片曲面片边界及交点处达到 C1连续。该方法的关键点在于确定交点周围曲面片上相互关联的四个 Bezier控制点 ,使得曲面片在交点处达到 C1连续 ,并给出了逼近曲面片与原曲面片误差比较公式及误差估计方法
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| 关 键 词： | 曲面造型 Bezier曲面 C~1连续 双参数曲面 |
C1-Smoothing of Multipatch Bezier Surfaces |
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| Qin Bo,Zou Xinjun.C1-Smoothing of Multipatch Bezier Surfaces[J].Periodical of Ocean University of China,2000,30(2). |
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| Authors: | Qin Bo Zou Xinjun |
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| Abstract: | Handing and modelling multipatch tensorproduct Bezier surfaces often causes continuity problems. A method is described on how to approximate a given surface in such a way that C 1 continuity at a crossing point of four surface patches can be obtained. The idea is to choose the four Bezier control points associated with the mixed derivatives at a crossing point of four surfaces to cause C 1 continuity at the crossing point. The four Bezier points can be obtained by approximating the given surfaces, minimizing the sum of the four distance squares. Moreover, the error function and the error estimation method of the approximated surface is presented. |
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| Keywords: | surface modeling Bezier surface C 1 continuity hyperbolic paraboloid |
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