Yeonho Bae

You are already at the latest version Deciding whether a vertex of a cubical complex lies on a locally well-composed surface reduces to a finite question: examine the occupancy pattern of the eight voxels incident to the vertex and decide whether the resulting active incidence structure is connected and 2-regular. We give a symbolic account of this decision.

You are already at the latest version Local topological singularities on digital or voxel grids motivated well-composedness conditions excluding them; P-well-composedness lifts this regularity into an intrinsic, order-theoretic setting on posets. We study whether P-well-composedness is inherited by the strict neighborhood of a face in a finite embedded cubical complex.