To provide straight-edged and curved piece-wise polynomial meshes that target a unique smooth geometry while preserving the sharp features and smooth regions of the model, we propose a new fast curving method based on hierarchical subdivision and blending. There is no need for underlying target geometry. It is only required a straight-edged mesh with boundary entities marked to characterize the geometry features, and a list of features to recast through a unique sharp-to-smooth modeling capability. The examples show that the method is well-suited to curve large quadratic and quartic meshes in low-memory configurations.