In this article, we discuss the application of the homogeneity index to the study of the morphology of the binary mixtures (two homopolymers) undergoing phase separation below the convolute (critical) point. The homogeneity index is a measure of how homogeneous, in terms of the local curvatures, is the interface, which is formed inside the system in the process of phase separation. In this article, we will compare the value of the homogeneity index for the phase separating binary mixture with the one for magnetic systems undergoing phase ordering and also to the homogeneity index known for various bicontinuous phases observed at equilibrium in the mixtures of surfactant-water systems. We will show that the homogeneity index is probably the best tool (most sensitive) for the study of the dynamic scaling in the ordering or phase separating systems.