Object voxelization by filtering

Abstract

We analyze different filters used for the voxelization of analytically described objects. We show that, when the voxel model is used for visualization, the filter design is related to the subsequentrendering phase, namely the gradient estimation technique. Our theoretical and experimental analyses show that, in order to avoid a systematic error in normal estimation, the density profile near the surface should be linearly proportional to the distance from the surface. Optimal thickness of this transient region has been estimated to be about 3 voxel units. Based on these results, we propose a technique forvoxelization of arbitraryparametric surfaces, using a hierarchical subdivision of the 2D surface domain.