| 圆锥样条曲面拟合 |
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| 引用本文： | 张雪晴,伯彭波,郑玉健,张彩明.圆锥样条曲面拟合[J].计算机辅助设计与图形学学报,2019,31(7):1221-1228. |
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| 作者姓名： | 张雪晴 伯彭波 郑玉健 张彩明 |
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| 作者单位： | 哈尔滨工业大学(威海)计算机科学与技术学院 威海 264209;山东大学软件学院 济南 250100 |
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| 基金项目： | 国家自然科学基金;国家自然科学基金;山东省重点研发计划;中国科学院自动化研究所模式识别国家重点实验室开放基金 |
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| 摘 要： | 为了生成给定曲面模型的逼近圆锥样条曲面表示,提出一种圆锥样条曲面的逼近算法.对于给定的曲面模型,该算法首先计算一个逼近该目标模型的近似可展曲面;然后通过聚类可展曲面局部逼近圆锥的轴线对可展曲面进行区域分割;再通过求解带圆锥约束的曲面拟合问题,找到圆锥面的圆锥参数;最后通过将优化得到的圆锥面映射到精确圆锥样条曲面空间,构造精确圆锥样条曲面.实验结果表明,该算法能够将一个曲面形状转化为一个由圆锥面的光滑拼接表示,为曲面模型的加工制造带来了新的技术手段.
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| 关 键 词： | 圆锥样条 曲面逼近 曲面重建 曲面加工制造 |
Cone Spline Surface Fitting |
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| Zhang Xueqing,Bo Pengbo,Zheng Yujian,Zhang Caiming.Cone Spline Surface Fitting[J].Journal of Computer-Aided Design & Computer Graphics,2019,31(7):1221-1228. |
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| Authors: | Zhang Xueqing Bo Pengbo Zheng Yujian Zhang Caiming |
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| Affiliation: | (School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209;School of Software, Shandong University, Ji’nan 250100) |
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| Abstract: | We propose an approach for computing a cone spline surface fitting to a given model. For a given surface, our algorithm first calculates an initial developable surface to approximate it, which is then seg- mented into a set of regions by clustering on axis lines of local fitting cones to the developable surface. Shape parameters of conical patches are determined by solving a surface fitting problem with geometric constraints of cones. A precise cone spline surface is constructed by mapping the optimized conical patches to the space of cone spline surfaces. The experimental results demonstrate the capability of the proposed method to convert a surface into a smooth composition of conical patches which facilities the manufacturing of surface models. |
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| Keywords: | cone spline surface approximation surface reconstruction surface manufacturing |
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