图像中两个物体的接触关系根据粒径可分为未接触、不同粒度物体的接触和同粒度物体的接触3种，接触物体根据接触部分的大小又可分为强接触、中等接触和弱接触。对接触物体的保形分割应该是使分割后物体恢复原来的形态，鉴于流域分割、测地重建等算法在分割接触物体时，不但对物体形态产生破坏和受干扰因素多，而且对于计算接触面积大小的问题，以上算法也不易实现，为此，提出了条件颗粒分割方法，即在数学形态学开运算过程中，对标定区域腐蚀后，不再做膨胀运算，就直接在保形的基础上，对不同粒度的物体进行分割，而对于同粒度接触的物体，则先通过腐蚀后，再做一次特殊条件颗粒分割来得到小粒度(条带)部分，再进行复原就是目标物体的接触部位。最后，介绍了此算法在岩石颗粒粒度分析及胶结类型划分方面的应用。

On the base of the diameter of granule, the touching relationship of two objects in the image can be divided into three types: untouching, touching with different grain-size, touching with same grain-size. It also can be further divided into strong-touching, mid-touching and thin-touching by the size of touching part. The shape preserving segmentation of touching objects should be their original shape after segmentation, but watershed segmentation, geodesic reconstruction damage their shapes, and they are easily affected by many aspects. They also can't calculate the size of touching part. An alternative method is condition granulometry segmentation. After the erosion of image, the method doesn't dilation the marked area. It can segment different grain-size touching objects. For the same grain-size touching objects, using a special condition granulometry segmentation after erosion, the small grain-size(narrow piece) is the object touching part when reconstruction. In the end, the paper introduces the application to rock grain-size distribution and cement types of this algorithm.