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点采样曲面的曲率估计 被引量：4

Estimating curvatures for point-sampled surfaces
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摘要 本文提出一种直接在点采样曲面上计算曲面的高斯曲率、平均曲率及主曲率等局部微分性质的方法。首先,为了去除测量产生的噪声和误差,引入高斯核函数为每个采样点加权;接着计算每个采样点的最近邻域点集;然后用双三次B样条曲面最小二乘拟合邻域点集,构造局部参数曲面来逼近原始曲面,以局部参数曲面的曲率估计点采样曲面的曲率;最后给出曲率估计的应用。实验结果表明,该方法能有效地反映曲面的基本特征。 An approach is proposed to estimate several differential properties, including Gaussian curvature, mean curvature and main curvature on point-sampled surfaces in presence of noise. To filter out the noise and error arising out of various physical measurement processes and limitations of the acquisition technology, a Gaussian weight is assigned to each point acquired. Moving local bicubic B-spline surface is obtained by applying the least square fitting method to the nearest neighbors of the points. Then the local differential geometric properties of point-sampled surface are approximated by analyzing the bicubic B-spline surface. Applications of curvature estimation are given and experimental results are also provided.
作者 吴剑煌 刘伟军 王天然 王华兵
机构地区 中国科学院沈阳自动化所
出处 《仪器仪表学报》 EI CAS CSCD 北大核心 2006年第12期1557-1562,共6页 Chinese Journal of Scientific Instrument
基金 国家"863"计划(2001AA421160)资助项目
关键词 曲率估计 点采样曲面 双三次B样条曲面 curvatures estimation point-sampled surface bicubic B-spline surface
分类号 TP391 [自动化与计算机技术—计算机应用技术]
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参考文献16

  • 1PFISTER M,ZWICKER J,BAAR V,et al.Surfels:surface elements as rendering primitives[C].In Proceedings of ACM SIGGRAPH,2000:335-342.
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二级参考文献12

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共引文献18

同被引文献39

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仪器仪表学报
2006年 第12期

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