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Aims: Following the study already presented in our previous paper, based onthe Nordic Optical Telescope (NOT) sample, which consists of five clusters ofgalaxies within the redshift range 0.18 $\leq$ z $\leq$ 0.25, imaged in thecentral 0.5-2 Mpc in very good seeing conditions, we have studied thequantitative morphology of their bright galaxy population  Methods: We have analyzed the surface brightness profiles of the galaxypopulation in those clusters. Previously, we have performed simulations inorder to check the reliability of the fits. We have also derived a quantitativemorphological classification.  Results: The structural parameters derived from these analysis have beenanalyzed. We have obtained that the structural parameters of E/S0 galaxies aresimilar to those showed by galaxies in low redshift clusters. However, the discscales are different. In particular, the scales of the discs of galaxies atmedium redshift clusters are statistically different than those located insimilar galaxies in the Coma cluster. But, the scales of the discs of galaxiesin medium redshift clusters are similar to nearby field galaxies.  Conclusions: The results suggest that the evolution of the disc component ofgalaxies in clusters is faster than in field ones. Mechanisms like galaxyharassment showing timescales of $\sim 1$Gyr could be the responsible of thisdisc scale evolution. This indicates that spiral galaxies in clusters havesuffered a strong evolution in the last 2.5 Gyr or that Coma is in some wayanomalous.

The bright galaxy population of five medium redshift clusters. II. Quantitative Galaxy Morphology