Simple Points in 2D and 3D Binary Images

摘要

The notion of a simple point is of fundamental importance for deformations of digital images. A point (pixel or voxel) is simple if the change of its value does not change the topology of the image. This article unifies characterizations of simple points. It shows equivalences of characterizations based on different models that are useful for the design of deformation algorithms (thinning and magnification). The paper also specifies an algorithm for identifying simple voxels.