01599nas a2200145 4500008004100000245008200041210006900123260004300192300001400235520102400249100001901273700002301292700001401315856012401329 2013 eng d00aSufficient Conditions for Topology Preserving Additions and General Operators0 aSufficient Conditions for Topology Preserving Additions and Gene aCalgarybIASTED - Acta PresscFeb 2013 a107 - 1143 a

Topology preservation is a crucial issue of digital topology. Various applications of binary image processing rest on topology preserving operators. Earlier studies in this topic mainly concerned with reductions (i.e., operators that only delete some object points from binary images), as they form the basis for thinning algorithms. However, additions (i.e., operators that never change object points) also play important role for the purpose of generating discrete Voronoi diagrams or skeletons by influence zones (SKIZ). Furthermore, the use of general operators that may both add and delete some points to and from objects in pictures are suitable for contour smoothing. Therefore, in this paper we present some new sufficient conditions for topology preserving reductions, additions, and general operators. Two additions for 2D and 3D contour smoothing are also reported.

 

1 aKardos, Péter1 aPalágyi, Kálmán1 aLinsen, L uhttps://tisat.inf.u-szeged.hu/publication/sufficient-conditions-for-topology-preserving-additions-and-general-operators