The invention provides a digital dentistry system that utilizes a haptic interface and features a computer-based design application configured to allow the intuitive construction of irregular, amorphous three-dimensional structures typically seen in dental restorations, utilizing, where appropriate, the design skills of a user. In certain embodiments, the system provides a comprehensive digital solution for dental labs in the business of creating dental restorations such as partial frameworks, crowns, copings, bridge frameworks, implants and the like, with a sense of touch provided by a haptic interface device.