Carve in, carve out: a bimodal carving through voxelization and functional partitioning

摘要

We propose in this paper a novel technique for pattern-guided carving on an orientable 2-manifold surface. Its novelty lies in processing the surface in voxel space using certain theories and deductions of digital geometry. The carving pipeline designed by us is bimodal in nature, as it can generate both ‘negative’ and ‘positive’ carvings by carve in and carve out alongside the specified pattern. The 2D pattern is easily mapped to the 3D surface, as we consider the thinnest voxelized model. We perform functional partition of the voxelized surface and use a local optimization with these components in order to achieve a realistic carving. Necessary theoretical foundations, implementation details, and experimental results have been furnished to adjudge the merit of the proposed technique.