L. Polidori et J. Chorowicz, COMPARISON OF BILINEAR AND BROWNIAN INTERPOLATION FOR DIGITAL ELEVATION MODELS, ISPRS journal of photogrammetry and remote sensing, 48(2), 1993, pp. 18-23
Bilinear interpolation is compared with Brownian interpolation for DEM
s (Digital Elevation Models). Brownian interpolation is an adaptation
of the ''Random Midpoint Displacement'' algorithm, taking into account
the non-stationarity and the non-self-affinity of the topographic sur
face. The comparison of these two techniques is carried out according
to different quality criteria: the bias, standard deviation and maximu
m deviation on the one hand, fractal dimension and texture on the othe
r hand. The fidelity to the hydrographic patterns is also considered,
as well as the tendency after multiple iterations of the interpolation
. The comparison shows that the different quality requirements may be
incompatible.