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陆利正, 何歆, 凌海雅, 汪国昭. 空间曲线的特征识别与高质量非均匀采样[J]. 计算机辅助设计与图形学学报, 2022, 34(1): 18-24. DOI: 10.3724/SP.J.1089.2022.18826
引用本文: 陆利正, 何歆, 凌海雅, 汪国昭. 空间曲线的特征识别与高质量非均匀采样[J]. 计算机辅助设计与图形学学报, 2022, 34(1): 18-24. DOI: 10.3724/SP.J.1089.2022.18826
Lu Lizheng, He Xin, Ling Haiya, Wang Guozhao. Feature Recognition and High-Quality Nonuniform Sampling for Spatial Curves[J]. Journal of Computer-Aided Design & Computer Graphics, 2022, 34(1): 18-24. DOI: 10.3724/SP.J.1089.2022.18826
Citation: Lu Lizheng, He Xin, Ling Haiya, Wang Guozhao. Feature Recognition and High-Quality Nonuniform Sampling for Spatial Curves[J]. Journal of Computer-Aided Design & Computer Graphics, 2022, 34(1): 18-24. DOI: 10.3724/SP.J.1089.2022.18826

空间曲线的特征识别与高质量非均匀采样

Feature Recognition and High-Quality Nonuniform Sampling for Spatial Curves

  • 摘要: 为避免传统均匀采样方法因忽视曲线重要特征而生成不理想的采样结果,获得给定数量且由特征点和辅助点组成的采样点序列,提出基于特征识别的高质量空间曲线非均匀采样方法.首先使用抛物线插值法得到曲线上所有曲率极大值点和挠率极大值点的近似位置,经筛选后产生特征点,以更好地抓住空间曲线的轮廓特征.然后定义基于弧长、曲率和挠率加权组合的特征函数,并以此自适应地选取曲线上的辅助点.与3种主流采样方法比较的实验结果表明,该方法能够获得更高质量的采样结果且具有更好的实用性,从而进一步改善空间曲线的B样条拟合效果.

     

    Abstract: Traditional uniform sampling methods often ignore important features lying on a curve and thus provide unsatisfactory sampling results. To resolve this problem, a high-quality nonuniform sampling method using feature recognition is proposed for spatial curves, which generates a prescribed number of sampled points including feature points and auxiliary points. Firstly, all the approximate locations of local maximum curvature points and maximum torsion points on a curve are obtained through the parabolic interpolation method, and they are chosen after filtering as feature points to better capture intrinsic shape of spatial curves. Then, by defining the characteristic function in a weighted combination of arc length, curvature and torsion, auxiliary points are adaptively selected from the original curve. Compared with three state-of-the-art sampling methods, numerical experiments demonstrate that this method can achieve more high-quality sampling results and has better applicability, thus further improving the B-spline fitting effect for spatial curves. © 2022, Beijing China Science Journal Publishing Co. Ltd. All right reserved.

     

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