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In this paper, we studied the intergranular interaction in realistically shaped grains which have convex vacuum surface. The convex surface is evaluated by utilizing the SURFACE EVOLVER, a software package for grain growth simulation. Various shapes of grains are obtained by changing the wetting angles between the top surface and the grain boundaries. From finite element micromagnetic simulations, which are used to simulate the magnetization reversal in the simple granular structure, it is found that the exchange field decreases with increasing wetting angle. We studied the effect of the intergranular exchange and the magnetostatic interactions individually. In order to study the intergranular exchange coupling effect quantitatively, an analytic energy surface model for the exchange coupled system is developed. The results agree very well with those of micromagnetic simulation. Magnetostatic interactions reduce the exchange field by making the antiparallel state more favorable than the parallel.