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赵秀阳, 李萍萍, 张彩明, 杨波. 基于节点矢量优化的复合材料序列轮廓逼近及重构[J]. 计算机辅助设计与图形学学报, 2010, 22(11): 1945-1951.
引用本文: 赵秀阳, 李萍萍, 张彩明, 杨波. 基于节点矢量优化的复合材料序列轮廓逼近及重构[J]. 计算机辅助设计与图形学学报, 2010, 22(11): 1945-1951.
Zhao Xiuyang, Li Pingping, Zhang Caiming, Yang Bo. Automatic Knot Adjustment Based Composite Serial Contour Approximation and Reconstruction[J]. Journal of Computer-Aided Design & Computer Graphics, 2010, 22(11): 1945-1951.
Citation: Zhao Xiuyang, Li Pingping, Zhang Caiming, Yang Bo. Automatic Knot Adjustment Based Composite Serial Contour Approximation and Reconstruction[J]. Journal of Computer-Aided Design & Computer Graphics, 2010, 22(11): 1945-1951.

基于节点矢量优化的复合材料序列轮廓逼近及重构

Automatic Knot Adjustment Based Composite Serial Contour Approximation and Reconstruction

  • 摘要: 针对采用边缘检测方法获得的复合材料第二相颗粒轮廓不规则且光顺性差的特点, 利用周期非均匀三次B样条曲线逼近颗粒轮廓.将节点作为变量, 提出了一种基于群体增量学习算法的节点矢量优化算法, 得到预定控制点条件下误差最小的颗粒轮廓曲线;基于逼近的序列轮廓, 采用柔性间距插入节点的方法定义公共节点矢量, 根据公共节点矢量对序列轮廓进行相容性处理, 利用三次B样条蒙皮算法生成了一张C2连续的张量积B样条曲面来描述复合材料的第二相颗粒.实验结果表明, 与遗传算法相比, 文中算法在轮廓逼近方面具有更好的鲁棒性和更高的精度, 重构出的第二相颗粒光顺性好, 效果理想.

     

    Abstract: Three-dimensional reconstruction of composite from serial sections has become an important way to obtain microstructure information such as volume fraction, size, shape and spatial distribution of the reinforcements.Nevertheless, the 2D sectional contour of each second-phase particle obtained by the active contour model is often unfair.This paper presents a novel method to smooth the particle contour with cubic B-spline curve approximation.In particular, the knots of a parametric B-spline curve are treated as variables, and the optimized knot placement is accomplished by considering the locations of knots as genes;the PBIL algorithm is then applied to attain the best resolution.The common knot vector of the serial contours of the same particle is constructed by inserting knots based on flexibility interval.Finally, a bicubic closed B-spline surface with C2 continuity is built to represent the particle surface.Experimental results show that the proposed method is robust, with better precision than that by the genetic algorithm based knot placement hence satisfactory reconstructed shape of the particles.

     

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