Layer the sphere

摘要: Voxelation today is not only limited to discretization and representation of 3D objects, but has also been gaining tremendous importance in rapid prototyping through printing. In this paper, we introduce a novel technique for sphere the integer space, which gives rise set mathematically accurate, 3D-printable physical voxels up desired level precision. The proposed based on an interesting correspondence between voxel forming discrete certain easy-to-compute intervals defined by position dimension. It us several algorithmic leverages, such as computational sufficiency with simple operations amenability layer-by-layer additive fabrication. Theoretical analysis, prototype characteristics, experimental results demonstrate its efficiency, versatility, further prospects.