Abstract: We present techniques for modeling Variational Hermite Radial Basis Function (VHRBF) Implicits using a set of sketch-based interface and modeling (SBIM) operators. VHRBF Implicits is a simple and compact representation well suited for SBIM. It provides quality reconstructions, preserving the intended shape from a coarse and nonuniform number of point-normal samples extracted directly from the input strokes. In addition, it has a number of desirable properties such as parameter-free modeling, invariance under geometric similarities on the input strokes, suitable estimation of differential quantities, good behavior near close sheets, and both linear fitting and reproduction. Our approach uses these properties of VHRBF Implicits to quickly and robustly generate the overall shape of 3D models. We present examples of implicit models obtained from a set of SBIM language operators for contouring, cross-editing, kneading, oversketching and merging.