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王显峰, 常亮, 肖军, 马成. 针对铺丝轨迹规划设计的复杂数模缺陷修补技术[J]. 计算机辅助设计与图形学学报, 2018, 30(9): 1773-1777. DOI: 10.3724/SP.J.1089.2018.16896
引用本文: 王显峰, 常亮, 肖军, 马成. 针对铺丝轨迹规划设计的复杂数模缺陷修补技术[J]. 计算机辅助设计与图形学学报, 2018, 30(9): 1773-1777. DOI: 10.3724/SP.J.1089.2018.16896
Wang Xianfeng, Chang Liang, Xiao Jun, Ma Cheng. Complicated Mathematical Model Defect-Improving Technology for Fiber-Placing Trajectory Planning Design[J]. Journal of Computer-Aided Design & Computer Graphics, 2018, 30(9): 1773-1777. DOI: 10.3724/SP.J.1089.2018.16896
Citation: Wang Xianfeng, Chang Liang, Xiao Jun, Ma Cheng. Complicated Mathematical Model Defect-Improving Technology for Fiber-Placing Trajectory Planning Design[J]. Journal of Computer-Aided Design & Computer Graphics, 2018, 30(9): 1773-1777. DOI: 10.3724/SP.J.1089.2018.16896

针对铺丝轨迹规划设计的复杂数模缺陷修补技术

Complicated Mathematical Model Defect-Improving Technology for Fiber-Placing Trajectory Planning Design

  • 摘要: 为了使铺丝轨迹设计软件具有更强的适应性,提出针对破损数模进行破损区域的网格重塑技术.首先通过对比三点定面和曲率定点2种切片环取点方法,提出采用曲率定点的方法确定切片环离散点;然后根据插入的离散点和破损区域周边网格边实现破损区域的修补,再光顺破损区域并确定切片环离散点;最后提出法向量的光顺算法,以保证切片环上离散点法向量的精度,获取完整的切片环信息.通过光学球面对比基于完整数模和破损数模的切片环分布情况,分析破损处的离散点及其法向量的误差,并进行实际的铺放实验,验证了文中算法的可行性和正确性.

     

    Abstract: In order to make the fiber-placing trajectory design software more adaptable, this paper sets to study the grid remodeling technology for the damaged area in mathematic model. It first compares two cir- cular point-sampling methods: "plane determined with three points" and "point determined through curva- ture" and proposes determining the discrete points of slice ring through "point determined through curva- ture"; then repairs the damaged area according to the interpolated discrete points and adjacent grid of the damaged area, and smooths the damaged area and determines the discrete points of the slice ring. We next suggest smoothing algorithm of normal vector on the basis to guarantee the normal vector accuracy of dis- crete points around the slice ring and obtain complete information about the slice ring; and finally analyze the error between discrete points and their normal vectors of damaged location by comparing distribution of slice ring of complete mathematical model with that of damaged model with optical sphere. Finally, we carry out practical placement test and the feasibility and correctness of the algorithm proposed in the paper are verified.

     

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