|
Abstract
|
|
|---|---|
| This paper studies connectivity aspects that arise in image operators that process connected components. The focus is on morphological image analysis (i.e., on increasing image operators) and, in particular, on a robustness property satisfied by certain morphological filters that is denominated the strong property. The behavior of alternated compositions of openings and closings is investigated under certain as- sumptions, particularly connectedness and a connected com- ponent preserving condition. It is shown that these condi- tions cannot in general guarantee the strong property of cer- tain connected alternated filters because of issues related to the locality of the filters. As treated in the paper, there have been a series of misunderstandings in the literature concern- ing this topic, and it is important to clarify them. The root cause of those problems is discussed, and a solution is in- dicated. The class of connected openings and closings used to build connected alternated filters should therefore be de- fined to avoid such situations, since the strong property of alternated filters should be a distinctive characteristic of this class. | |
|
International
|
Si |
|
JCR
|
Si |
|
Title
|
JOURNAL OF MATHEMATICAL IMAGING AND VISION |
|
ISBN
|
0924-9907 |
|
Impact factor JCR
|
1,22 |
|
Impact info
|
|
|
Volume
|
32 |
|
|
10.1007/s10851-008-0098-x |
|
Journal number
|
3 |
|
From page
|
251 |
|
To page
|
263 |
|
Month
|
NOVIEMBRE |
|
Ranking
|
|