Digital Surface Regularization With Guarantees

Voxel based modeling is a very attractive way to represent complex multi-material objects. Beside artistic choices of pixel/voxel arts, representing objects as voxels allows efficient and dynamic interactions with the scene. For geometry processing purposes, many applications in material sciences, medical imaging or numerical simulation rely on regular partitioning space labeled voxels. In this article, we consider variational approach reconstruct interfaces multi-labeled digital images. This efficiently produces piecewise smooth quadrangulated surfaces some theoretical stability guarantee. Non-manifold parts at intersecting are handled naturally by our model. We illustrate strength tool for surface regularization, well voxel art regularization transferring colorimetric information regularized quads computing isotropic geodesic surfaces.