SciELO - Scientific Electronic Library Online

 
 issue48Dynamic priorization model of dispatching vehicles using analytic hierarchy process author indexsubject indexarticles search
Home Pagealphabetic serial listing  

Services on Demand

Article

Indicators

Related links

  • On index processCited by Google
  • Have no similar articlesSimilars in SciELO
  • On index processSimilars in Google

Share


Revista Facultad de Ingeniería Universidad de Antioquia

Print version ISSN 0120-6230
On-line version ISSN 2422-2844

Abstract

DIAZ DE LEON SANTIAGO, Juan et al. K-statistical operators for set mathematical morphology. Rev.fac.ing.univ. Antioquia [online]. 2009, n.48, pp.216-227. ISSN 0120-6230.

A generalization of the basic operators in mathematical morphology is presented in this paper. The resulting generalization lead to the construction of the k-statistical operators, due to its ability to obtain geometricaly the statistical descriptors within the range of the operator (Z={0,1}). These operators can be less strict as to the expected result as in the basic operators of dilation and erosion. Furthermore, a single k-statistical operator represents a functional complete set that includes erosion and dilation as particular cases. In a k-statistical operator, the condition to obtain the resulting set depends on whether the area (number of elements) of intersection between the translated structural set and the original set is at least equal to k. As a consecuence, a single parameter (k) is able to create a manifold of operators ranging from erosion to dilation. Hence, other kinds of openings and closings with new behavior are created as alternative solutions to binary image processing problems.

Keywords : Mathematical morphology; dilatation; erosion; opening; closing.

        · abstract in Spanish     · text in Spanish     · Spanish ( pdf )

 

Creative Commons License All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License