Hilbert curve path optimization algorithm based on FDM technique
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摘要: 熔融沉积成型(fused deposition molding, FDM)的填充路径不连续，电机频繁停止极易导致翘曲变形。结合轮廓偏置法和空间填充曲线中的Hilbert曲线填充，提出了一种基于轮廓偏置与拟合Hilbert曲线的路径优化算法。该算法将Hilbert曲线进行三次B样条曲线拟合，降低了打印过程中电机变化率，减少了电机停止次数，进而减少打印件的翘曲变形，提高打印件精度。通过实验验证，模型平均最大翘曲量减少了60.70%，总平均翘曲量减少了62.26%。Abstract: The fill path of FDM is discontinuous, and frequent stopping of the motor can easily lead to warping and deformation. A path optimization algorithm based on contour offset and Hilbert curve fitting is proposed by combining contour offset method and Hilbert curve filling in space filling curve. In this algorithm, Hilbert curve was fitted with three B-spline curves, which reduced the motor change rate and the stopping times of the motor in the printing process, thus reducing the warpage deformation of the printed parts and improving the precision of the printed parts. The experimental results show that the average maximum warpage of the model is reduced by 60.70% and the total average warpage is reduced by 62.26%.
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Key words:
- B-spline curve /
- path filling /
- contour offset /
- G-code
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表 2 Hilbert曲线填充翘曲量
mm 组号 角1翘曲量 角2翘曲量 角3翘曲量 角4翘曲量 1 0.106 0.147 0.267 0.217 2 0.189 0.258 0.409 0.268 3 0.384 0.179 0.366 0.144 4 0.136 0.123 0.261 0.158 5 0.608 0.279 0.276 0.418 6 0.460 0.092 0.148 0.327 7 0.435 0.352 0.309 0.329 8 0.399 0.260 0.355 0.657 9 0.218 0.538 0.152 0.719 10 0.226 0.256 0.154 0.238 
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表 3 本文方法填充翘曲量
mm 组号 角1翘曲量 角2翘曲量 角3翘曲量 角4翘曲量 1 0.075 0.188 0.134 0.124 2 0.112 0.133 0.111 0.213 3 0.166 0.118 0.214 0.027 4 0.012 0.040 0.113 0.095 5 0.056 0.240 0.080 0.207 6 0.187 0.051 0.119 0.060 7 0.026 0.182 0.170 0.052 8 0.113 0.109 0.086 0.081 9 0.006 0.145 0.091 0.115 10 0.117 0.094 0.158 0.047
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