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Adaptive slice method based on posterior error of hierarchical N-ary tree mapping Boolean volume contours |
Hongshuai GUO1(),Shuyou ZHANG1,Guodong YI1,*(),Xiaojian LIU1,2,Jianrong TAN1 |
1. State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou 310027, China 2. Ningbo Innovation Center, Zhejiang University, Ningbo 315100, China |
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Abstract Under the given build orientation, slice thickness affects the step effect on the surface of the fused deposition modeling part, and slice contour with its hierarchical relationship is the research basis for path planning. An adaptive slice method based on the operation of Boolean volume contours was proposed. Local contour topology was constructed on different height slice-plane of a part model and the kernel region was calculated. Contour loops were mapped to one-dimensional axis according to the intersections of connection lines between kernel points with the contour loops. The hierarchy relationship of contour loops was determined by topological mapping. N-ary tree was built by the hierarchical relationship. The Boolean operation of volume contour with feature change was mapped by the height of the N-ary tree. Adaptive slice thickness was designed according to the slice variation threshold. Volume error under any slice thickness was estimated by the posterior error of volume contour. The effectiveness of adaptive slice was verified by the volume error. According to printing examples and the comparison of different adaptive slice methods, the calculation accuracy of slice volume error obtained by contour posterior error is higher than that obtained by the method of cusp height. Volume error is reduced by controlling slice thickness on the part of volume contour features, and surface forming accuracy on the region of model features is improved with the volume error reduced.
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Received: 01 September 2023
Published: 27 March 2024
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Fund: 浙江省重点研发计划项目(2021C01149);浙江省自然科学基金资助项目(LZ22E050008);宁波市自然科学基金资助项目(2021J150). |
Corresponding Authors:
Guodong YI
E-mail: hsg@zju.edu.cn;ygd@zju.edu.cn
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层次多叉树映射布尔体廓后验误差的自适应层切
在给定构建方向下,层切厚度影响熔融沉积成型零件表面的阶梯效应,层切轮廓及其层次关系是路径规划的研究基础. 为此,提出基于布尔体廓运算的自适应层切方法,在零件模型不同高度层切面上构建局部轮廓拓扑并计算内核域,根据内核点连线与轮廓环的交点,将轮廓环数据映射到一维坐标轴,基于拓扑映射判定轮廓环层次关系. 建立层次关系多叉树,以树高映射体廓特征变化的布尔运算,根据层变阈值设计自适应层厚,通过体廓后验误差估计任意层厚的体积误差,验证自适应层切的有效性. 实例打印及不同自适应层切方法对比结果表明,采用体廓后验误差计算的层切体积误差精度比牙尖高度法的更高;通过控制体廓特征部位的层厚来减小体积误差,有助于提高模型特征部位的表面成型精度.
关键词:
熔融沉积成型,
自适应层切,
拓扑映射,
体积误差,
层次多叉树,
体廓后验误差
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