Meshless Voxel Generation Method of Rational Surfaces towards Stereolithography

With the continuous improvement of laser stereolithography resolution, it’s difficult to meet the accuracy requirements of micro and nano scale and even atomic scale for the existing methods which commonly generate voxel of 3D manifold by meshing. Therefore, a meshless voxel generation (MVG) method of rational surfaces towards stereolithography is proposed to directly transform solids, represented by non-uniform rational B-splines (NURBS) surfaces, to voxel models of arbitrary precision. Initially, a regional tunnel-free adaptive sampling method targeted at NURBS surfaces is introduced. The trimming interior sample points are obtained by employing a boundary marking filling algorithm. Subsequently, the sampled points within the parameter domain are mapped to the voxel space and a surface voxel model is produced based on regional tunnel-free sampling. The internal voxel fill is thereby carried out using breadth-first search (BFS). Experimental validation, utilizing a micro-structured spatial surface propeller blade, testifies the effectiveness of the MVG method in terms of enhancing voxelization precision. Comparative experiments with traditional discrete subdivision sampling methods demonstrate the efficiency of MVG method in improving voxelization precision of rational surface solids. At high voxelization resolutions, through the MVG method, the mean volume error during the voxel discretization process of employed rational solid can be reduced by up to 10.17%.