Digital geometry is about deriving geometric information from digital pictures. The field
emerged from its mathematical roots some forty-years ago through work in computer-based …

There are exactly three regular planar grids, which are formed by tiling the 2-dimensional
Euclidean space with regular triangles, squares, and hexagons. The topology of the square …

A widely used technique to obtain skeletons of binary objects is thinning, which is an
iterative layer-by-layer erosion in a topology preserving way. Thinning in 3D is capable of …

A crucial issue in digital topology is to ensure topology preservation of binary image
operators. Several sufficient conditions have already been proposed (ie, for operators that …

Thinning is a frequently used technique capable of producing all kinds of skeleton-like
shape features in a topology-preserving way. It is an iterative object reduction: some border …

There are three possible partitionings of the continuous plane into regular polygons that
leads to triangular, square, and hexagonal grids. The topology of the square grid is fairly …

Publisher Summary Digital topology deals with properties and features of a binary image
array that correspond to simple topological properties (for example, connectedness) and …

Thinning is a well-known technique for producing skeleton-like shape features from digital
binary objects in a topology-preserving way. Most of the existing thinning algorithms work on …

A reduction transforms a binary picture only by changing some black points to white ones,
which is referred to as deletion. Sequential reductions traverse the black points of a picture …

Thinning is a widely used approach for skeletonization. Sequential thinning algorithms use
contour tracking: they scan border points and remove the actual one if it is not designated a …