For pt.I see ibid., vol.20, p.257 (1987). The authors suggest a picture of the intrinsic surface width in Eden models and show that it is a major source of corrections to scaling of the surface roughness. Using the multiple-hit noise reduction method, they can control the intrinsic width and thereby improve the scaling behaviour systematically as is demonstrated in detailed calculations on the square lattice. They calculate the number of excess perimeter sites as a function of time and find that its asymptotic value decays with a power law as a function of increasing hitting number. Substrate effects and anisotropy become more apparent if noise reduction is applied.