Sažetak In this paper we analyse some properties of the triangular and hexagonal grids in
the 2D digital space. We define distances based on neighbourhood relations that can be …

In this paper we present some former results about properties of digital circles defined by
neighbourhood sequences in the triangular grid. Das and Chatterji [Inform. Sci. 50 (1990) …

PP Das et al.[2] characterized the periodic neighbourhood sequences which provide a
metric and they gave an algorithm which provides a shortest path between two arbitrary …

In this paper, we analyze some properties of triangular and hexagonal grids in 2D digital
space. We define distances based on the neighbouring relations that can be introduced in …

In this paper we compute distances with neighbourhood sequences in the cubic and in the
triangular grids. First we give a formula which computes the distance with arbitrary …

Properties for distances based on neighbourhood sequences on the face-centred cubic (fcc)
and the body-centred cubic (bcc) grids are presented. Formulas to both compute the …

In this paper we generalize some former results of Das et al. about distances with n-
dimensional periodic neighbourhood sequences. We use a more general definition of …

Chamfer distances play an important role in the theory of distance transforms. Though the
determination of the exact Euclidean distance transform is also a well investigated area, the …

By combining weighted distances and distances based on neighbourhood sequences, a
new family of distance functions with potentially low rotational dependency is obtained. The …

The theory of neighborhood sequences is applicable in many image-processing algorithms.
The theory is well examined for the square and the cubic grids. In this paper we consider …