The invention provides systems for integrated haptic design and fabrication of dental restorations that provide significant advantages over traditional practice and existing computer-based systems. The systems feature technical advances that result in significantly more streamlined, versatile, and efficient design and fabrication of dental restorations. Among these technical advances are the introduction of voxel-based models; the use of a combination of geometric representations such as voxels and NURBS representations; the automatic identification of an initial preparation (prep) line and an initial path of insertion; the ability of a user to intuitively, haptically adjust the initial prep line and/or the initial path of insertion; the automatic identification of occlusions and draft angle conflicts (e.g., undercuts); the haptic simulation and/or marking of occlusions and draft angle conflicts; and coordination between design output and rapid prototyping/milling and/or investment casting.