Regularization of voxel art

Abstract

Figure 1: First row, from left to right: input voxel art decomposed into two labels (sea, island, 64 × 68 × 40) and three interfaces, piecewise smooth regularization with consistent interfaces between labels. Second row: high resolution regularization and low resolution voxel art reconstruction. ABSTRACTVoxel based modeling is an attractive way to represent complex multi-material objects. Multi-labeled voxel models are also ubiquitous in material sciences, medical imaging or numerical simulations. We present here a variational method to regularize interfaces in multi-labeled digital images. It builds piecewise smooth quadrangulated surfaces efficiently, with theoretical guarantees of stability. Complex topological events when several materials are considered are handled naturally . We show its usefulness for digital surface approximation, for voxel art regularization by transferring colorimetric information, and for upscaling voxel models to speed up coarse-to-fine modeling.