[en] We present a novel technique implementing barehanded interaction with virtual 3D content by employing a time-of-flight camera. The system improves on existing 3D multi-touch systems by working regardless of lighting conditions and supplying a working volume large enough for multiple users. Previous systems were limited either by environmental requirements, working volume, or computational resources necessary for realtime operation. By employing a time-of-flight camera, the system is capable of reliably recognizing gestures at the finger level in real-time at more than 50 fps with commodity computer hardware using our newly developed precision hand and finger-tracking algorithm. Building on this algorithm, the system performs gesture recognition with simple constraint modeling over statistical aggregations of the hand appearances in a working volume of more than 8 cubic meters. Two iterations of user tests were performed on a prototype system, demonstrating the feasibility and usability of the approach as well as providing first insights regarding the acceptance of true barehanded touch-based 3D interaction.