Openings and Closings by Reconstruction Using Propagation Criteria

Abstract

In this paper, a class of openings and closings is investigated using the notion of propagation criteria. The main goal in studying these transformations consists in eliminating some inconveniences of the morphological opening (closing) and the opening (closing) by reconstruction. The idea in building these new openings and closings comes from the notions of morphological filters by recontruction and levelings. Morphological filters by reconstruction extract, from an image, the connected components that are marked. The reconstruction process of the input image is achieved using geodesic dilation (or erosion) until stability. However, since thin connections exist, these filters reconstructs too much and sometimes it is impossible to eliminate some undesirable regions. Because of this inconvenience, propagation criteria must be introduced.