A novel model of morphological operator for 3D object

A novel model of a normal vector sphere is proposed in this paper. Two 3D object morphological addition can be calculated by merging two corresponding normal vector spheres. The important property of convex object morphological addition is proved based on integral geometry, which can le popularized to a concave set, then the two objects' morphological operator can be calculated using the two point sets' Minkowsky addition which have the same normal vector. A unified model of graphics morphological operators is developed; this model unifies the morphological addition, subtraction of 2D and 3D objects in algorithm theory, which lays a solid foundation for morphological operator in computer graphics.