针对金刚石砂轮磨粒形状的不规则性、尺寸的变化性以及空间位置随机分布的特点，采用基于球坐标的随机点产生的空间平面切分实体的方法，建立更接近实际的虚拟多面体磨粒，并建立金刚石砂轮模型;从类似机床刀具切削刃的磨刃二面角出发，运用仿生物学中光密度以及计算机数字图像处理的方法，提出了基于光密度、积分光密度、平均积分光密度的一种新的砂轮形貌评价方法，并通过试验测量研究了磨刃二面角与积分光密度值之间的关系。研究结果表明，磨刃二面角越大，积分光密度值越大，在0~200之间变化。最后结合砂轮表面面积密度、磨粒平均个数、出刃高度、积分光密度值等参数验证了所建立的虚拟多面体磨粒和砂轮模型的有效性。

According to the irregular shape,size and randomly distributed of diamond grinding abrasive grains,using a random space plane which generates by a random point to segmentation spherical solid based on spherical coordinate,the virtual polyhedron shaped of irregular grains and grinding model is established,which is more close to the actual shape of diamond abrasive grains. In addition,starting from the grinding blade dihedral angle which similar like the cutting tool,using research method with simulating the biology and digital image processing,then a new way of optical density,integral optical density,average integral optical density is presented,the morphology of diamond grinding wheel is evaluated moreover. And through the experimental,the relationship between the grinding blade dihedral angle and integral optical density value are studied. The researched results show that with the dihedral angle increase,the integral optical density increase too in the range from 0 to 200. Finally,combined with the grinding wheel surface area density,the average number of abrasive grain,the protrusion height and the integral optical density value,the effectiveness of the abrasive and grinding wheel model are verified.