| 三角域Bezier曲面若干算法研究 |
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| 引用本文： | 曹毓秀,孙延奎,唐龙,唐泽圣. 三角域Bezier曲面若干算法研究[J]. 清华大学学报(自然科学版), 2001, 41(7): 83-86 |
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| 作者姓名： | 曹毓秀 孙延奎 唐龙 唐泽圣 |
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| 作者单位： | 清华大学计算机科学与技术系, |
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| 摘 要： | 从待拟合曲面的曲率变化大小出发 ,有针对性地提出新的三角域 Bezier曲面拟合算法和曲面曲率变化小的曲面拟合方法 ,进一步推导了曲面曲率变化大的曲面拟合方法 ;另外还研究了三角域 Bezier曲面对矩形域 Bezier曲面的逼近算法 ,给出了三角 Bezier曲面片表示矩形 Bezier曲面片的显式公式 ,通过图示形象化描绘了特征顶点递推过程 ,并指出了特征顶点递推公式。该算法在彩色 CRT校正透镜CAD系统中得到成功应用
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| 关 键 词： | 矩形域Bezier曲面 曲面拟合 三角域Bezier曲面 |
| 文章编号： | 1000-0054（2001）07-0083-04 |
| 修稿时间： | 2000-06-22 |
Triangular Bezier surface algorithms |
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| CAO Yuxiu,SUN Yankui,TANG Long,TANG Zesheng. Triangular Bezier surface algorithms[J]. Journal of Tsinghua University(Science and Technology), 2001, 41(7): 83-86 |
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| Authors: | CAO Yuxiu SUN Yankui TANG Long TANG Zesheng |
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| Abstract: | In CAD analysis of geometric shapes, triangular Bezier surfaces are more difficult to use than rectangular Bezier patches. This paper introduces two algorithms for triangular Bezier surfaces. The first algorithm describes two methods including the small curvature surface fitting method and the large curvature surface fitting method. The second algorithm proposes a method to explicitly transform a rectangular Bezier patch mesh into an equivalent triangular Bezier patch. A recursion equation can be used to increase the triangular Bezier patch mesh density. Triangular Bezier surface algorithms are useful for engineers engaged in reverse engineering and have been validated in colour CRT correcting lens design. |
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| Keywords: | rectangular Bezier surface surface fitting triangular Bezier surface |
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