In order to establish a virtual topography of the abrasive belt,a systematic random-polyhedron model of abrasive belt grains is constructed.Then,the average spacing of neighbor grains is measured by identifying the po- sition of the grains on the abrasive surface.Finally,by using the multi-superposition random-displacement method to realize the random configuration of the grains on the abrasive surface,a virtual topography of the abrasive belt is obtained.Furthermore,the grains with greater protrusion height are replaced by using fracture grains,thus accom- plishing the forecasting of the topography of the blunt abrasive belt.Experimental results show that,when the num- ber of random polyhedron sections is about 24 ～30 and the multi-superposition frequency is about 600,an ideal vir- tual topography of the abrasive belt can be acquired,and that,the distribution of the real abrasive belt protrusion height has a partial peak feature,and as compared with the original abrasive belt,the blunt abrasive belt achieves a lower mean protrusion height with a better protrusion height consistency.The virtual abrasive belt topography ob- tained through the proposed method in this paper can accurately characterize the new abrasive belt surface,and it can be used to forecast the topography of the blunt abrasive belt.