This paper discusses a graphics-based approach to the tool path and trajectory planning problem found in machining and robotics applications. Ray casting is used to determine part and blank surfaces from voxel model representations. Tool paths are generated from the ray intersections with the voxels and uncut material is used to determine optimal re-orientation. The algorithm presented is a first step towards automatic path generation for 5-Axis machine tools. The groundwork is laid to demonstrate the power of graphics hardware on manufacturing problems. The resulting tool path is validated by experimental results carried out by multi-axis milling of a free-form surface with undercut regions.
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