[1C2] Towards smoother surfaces by applying subdivision to voxelised data

A Stock¹ and S López-Ureña²
¹University of Passau, Germany
²University of Valencia, Spain 

In computed tomography, the approximation quality of a real object is typically limited by the acquisition geometries. To improve upon this, we experiment with a three-dimensional subdivision scheme to increase the resolution of the reconstructed voxelised data. Subdivision schemes are often used to refine two-dimensional meshes, leading to smoother surfaces. In this work, the refinement scheme is applied to three-dimensional data first, and only then is the meshing process started. Thus, the main subject of this work lies not on subdivision surfaces, but rather on subdivision volumes. In the volumetric case, each subdivision iteration consumes eight times more storage space than the previous one. Hence, it is restricted to a single subdivision iteration.

We evaluate the quality of the produced subdivision volumes using synthetic and industrial data. Furthermore, we consider manufacturing errors in the original and in the subdivision volumes, extract their surfaces and compare the resulting meshes in critical regions. Observations show that our specific choice of a subdivision scheme produces smoothly interpolated data while also preserving edges sharply.