Displaced signed distance fields for additive manufacturing

We propose displaced signed distance fields, an implicit shape representation to accurately, efficiently and robustly 3D-print finely detailed smoothly curved surfaces at native device resolution. As the resolution accuracy of 3D printers increase, accurate reproduction such becomes increasingly realizable from a hardware perspective. However, representing with polygonal meshes requires high polygon counts, resulting in excessive storage, transmission processing costs. These costs increase print size, can become exorbitant for large prints. Our formulation simultaneously allows augmentation low-polygon compact meso-scale topographic information, as displacement maps, realization polygons, while leveraging efficient, streaming-compatible, discrete voxel-wise algorithms. Critical this is careful treatment input primitives, their voxel approximation true surface. further robust sign estimation allow incomplete, non-manifold input, whether human-made onscreen rendering or directly out scanning pipeline. framework efficient both terms time space. The running independent number amount displacement, constant per voxel. storage grow sub-linearly voxels, making our approach suitable evaluate efficiency robustness, show its advantages over standard techniques.