Manipulation of high-precision voxel volume at interactive speed is still not immediately possible by known algorithms on today's workstation hardware. We propose to decompose a voxel-based modeling system into layers. The concept opens the possibility to apply less precise but fast algorithms of manipulation and rendering, but also to produce voxelmodels at the higher precision possibly required by the application. With this concept in the background, we present a fast, though slightly imprecise algorithm for the problem of updating a voxel workpiece touched by a voxel tool interactively moved by the user along a path with six degrees of freedom. On an SGI Octane MXE, interactive speed is achieved for workpieces up to