We present atomic force microscopy images of diamond films grown by chemical vapor deposition epitaxially on diamond (100), (110), and (111) substrates. The films were grown from 0.2%-1.6% mixtures of CH4 and C2H2 in H-2 in a hot-filament reactor at a total pressure of 25 Torr. The substrate and filament temperatures were held at 810-1000 and 2000-2150-degrees-C, respectively. A (100)-oriented diamond film grown with 0.3% CH4 at a substrate temperature of 810-degrees-C was rough on the mu-m scale, exhibiting pyramidal features, terraces, and penetration twins, while films grown at higher substrate temperatures and hydrocarbon flow rates were smooth on the nm scale and showed evidence of a (2X1) reconstruction. A (110) -oriented film was very rough on the mu-m scale but nearly atomically smooth on the 0.5-5 nm scale and exhibited local slopes higher than 40-degrees with no evidence of faceting. A film grown on a diamond (111) substrate underwent spontaneous fracture due to tensile stress and exhibited a roughness of almost-equal-to 10-50 nm on the almost-equal-to 100 nm lateral scale in regions far away from any cracks. The implications of the morphological features for diamond growth mechanisms are discussed.