In this paper

the important property of convex object morphology addition is proved that F(S

u)=F(A

u) F(B

u) based on integral geometry

this can be popularized to concave set

then the two objects' morphology operator can be calculated through the two point sets' Minkowsky addition which have the same normal vector. The concept of vector sphere is provided

and the Minkowsky operator can be turned to the combination of two vector spheres. With the introduction of“Negative Object”

a unified model of graphic morphology operators is developed by combining the three concepts. This model unifies the morphology addition

subtraction of 2D and 3D objects in algorithm theory

and guaranties the correctness of the model' s theory.