Journal of Applied Sciences1812-56541812-5662Asian Network for Scientific Information10.3923/jas.2007.3069.3074DineshS. 122007720This research is aimed at characterizing the areas of pixels modified during the generation of multiscale Digital Elevation Models (DEMs). First, multiscale DEMs are generated using the lifting scheme. The area of pixels modified at each scale is computed. The computed areas are divided with the area of the DEM to obtain the normalized probability functions, which are used to compute the average size of convex and concave regions on the terrain of the DEM and the scale-independent average roughness of the terrain of the DEM due to the convex and concave region distribution averaged over the terrain. The proposed procedure provides a surface roughness parameter that is realistic with respect to the amplitudes and frequencies of the terrain, invariant to with respect to rotation and translation and has intuitive meaning.]]>Brock, M., 1983Campbell, B.A. and J.B. Garvin, 1993Claypoole, R.L. and R.G. Baraniuk,2000Dinesh, S., 2007Dinesh, S., 2007Dinesh, S., 2007Dinesh, S., 2007Dinesh, S. and M.H.A. Fadzil, 2007Dinesh, S. and M.H.A. Fadzil, 2007Gilbert, G.K.,1909Hoffman, R. and E. Krotkov,1989Howard, A.D.,1994Kreslavsky, M.A. and J.W. Head, 1999Maragos, P., 1989Miliaresis, G.C. and D.P. Argialas, 2002Miller, L.S. and C.L. Parsons, 1990Radhakrishnan, P., 2002Radhakrishnan, P., 2003Radhakrishnan, P.,2004Rodraguez-Iturbe, I. and A. Rinaldo,1997Sagar, B.S.D., M.B.R. Murthy, C.B. Rao and B. Raj,2003Shepard, M.K., B.A. Campbell, M.H. Bulmer, T.G. Farr, L.R. Gaddis and J.J. Plaut, 2001Stone, R. and J. Dugundji, 1965Sweldens, W., 1996Sweldens, W.,1998Tate, N. and J. Wood, 2001Tay, L.T., B.S.D. Sagar and H.T. Chuah,2005Turcotte, D.L., 1997Van Zyl, J.J., C.F. Burnette and T.G. Farr,1991Wilcox, B. and D. Gennery, 1987Wood, J., 1996Wood, J.,1996