Polar pixel layout method for obtaining the profile of the spiral groove end section of end mill
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摘要: 立铣刀螺旋槽端截面廓形是刀具设计、加工与性能分析的重要因素。文章以砂轮螺旋运动结合极坐标变换和数学形态学，提出了一种获取整体式立铣刀螺旋槽端截面廓形的新方法，简称极坐标像素平铺（PPM）法。该方法直接通过点云极坐标二值图像结合提取数学形态学的膨胀和腐蚀算法操作提取截形边界，无需求解接触线方程，能稳定获得高精度立铣刀螺旋槽端截面廓形。最后将PPM法计算结果与解析法计算结果进行比较，结果显示两者比较误差均在许可范围内，从而验证了PPM法的正确性和有效性。Abstract: The profile of the end section of the flute is an important factor in tool design, machining and performance analysis. In this paper, a new method, polar pixel layout method (PPM), is proposed to obtain the profile of the flute end section of an end mill by combining the spiral motion of the grinding wheel with polar coordinate transformation and mathematical morphology. PPM extracts the section profile directly through the polar coordinate binary image of the point cloud combined with the erosion and dilation algorithm of mathematical morphology. It does not need to solve the contact line equation, nor do Boolean operations. PPM can stably obtain the high-precision profile of the flute of the end mill. Finally, PPM calculation results are compared with the analytical method. These comparison errors are within the allowable range, thus verifying the correctness and effectiveness of PPM.
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Key words:
- spiral movement /
- mathematical morphology /
- integral end mill /
- end section /
- polar coordinates
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