Formulas for the number of (n?2) ( n ? 2 ) -gaps of binary objects in arbitrary dimension
In this paper we define the notion of a gap in an arbitrary digital binary object S S in a digital space of arbitrary dimension. Then we obtain an explicit formula for the number of gaps in S S of maximal dimension, derive combinatorial relations for digital curves, and discuss possible applications to image analysis of digital surfaces (in particular planes) and curves.
gap digital surface digital geometry digital picture digital plane tunnel brim