Attribute-space connectivity and connected filters

Surface-Area-Based Attribute Filtering in 3D

Attribute filters are a subset of connected operators.Connected filters have the capacity to precisely identify and extract connected components in their entirety and without distorting their boundaries. This property, critical in many applications such as medical imaging, increases their popularity and makes them a suitable tool for problems in which accurate shape analysis is of importance. C...

Two Applications of Shape-Based Morphology: Blood Vessels Segmentation and a Generalization of Constrained Connectivity

Connected filtering is a popular strategy that relies on treebased image representations: for example, one can compute an attribute on each node of the tree and keep only the nodes for which the attribute is sufficiently strong. This operation can be seen as a thresholding of the tree, seen as a graph whose nodes are weighted by the attribute. Rather than being satisfied with a mere thresholdin...

Fuzzy attribute openings based on a new fuzzy connectivity class. Application to structural recognition in images

In problems such as image segmentation and recognition, the connectivity of target objects is a key feature. In the mathematical morphology framework, connected filters were derived from the classical connectivity theory but do not take into account the imperfections that can affect the image formation. The aim of this paper is twofold: (i) introduce a new class of connectivity for fuzzy object...

STABILIZER TOPOLOGY OF HOOPS

In this paper, we introduce the concepts of right, left and product stabilizers on hoops and study some properties and the relation between them.  And we try to find that how they can be equal and investigate that under what condition they can be filter, implicative filter, fantastic and positive implicative filter. Also, we prove that  right and product stabilizers are filters and if they are ...

Attribute-Space Connected Filters