Morphallactic regeneration: cells seem to de-differentiate, but after a period of growth, they dedifferentiate back into the same differentiated cell type as they were before [cartilage back into cartilage, muscle back into muscle, epidermis back into epidermis, arteries and veins back into what they were]

This is in contrast to epimorphosis, in which cells really do lose differentiation, and after a period of growth and mitotic division, regenerate anatomical patterns by re-differentiating into whichever differentiated cell type should be located at each position.

Proven by experiments labeling nuclei with radioactive precursors of DNA and also proven using grafted tissues labeled with green fluorescent protein.