The growth of a C-grain embedded in the matrix of A-and B-grains has been simulated. A, B, and C denote orientation groups. Boundaries were defined as “specified” if they consisted of A and C grains, else they were defined as “unspecified”. The edges of an embedded grain were named according to component grains as CAA, CAB, and CBB triple lines. The inhomogeneity of the matrix structure was presented as the ratio between their numbers. When the mobility of specified boundary is higher than that of unspecified boundary, the volume fraction of the C-grain increases with grain coarsening, which is affected by the ratio between triple lines. The results suggest that the development of the grain growth texture is affected by the orientation distribution in a specimen and that the influence must be bigger when the mobility of the triple line depends on the combination of relevant grains.