Understanding the transformation of populations in galaxy clusters has been one of the challenges of galaxy evolution over the past several decades. The extreme environments, especially of the most massive clusters, are known to affect how galaxies evolve such that the populations of local galaxy clusters are very different from those in other environments. To help understand these populations, we have performed a detailed study on a type of star bursting galaxies seen predominately at intermediate redshifts in galaxy clusters: luminous compact blue galaxies. By looking at the distribution, kinematics, and spectral properties of these galaxies, it does appear that we are seeing the final star-burst from the progenitors of dwarf elliptical galaxies that dominate the populations of nearby galaxy clusters.