Abstract
The standard morphological operators are (i) defined on Euclidean space, (ii) based on structuring elements, and (iii) invariant with respect to translation. There are several ways to generalise this. One way is to make the operators adaptive by letting the size or shape of structuring elements depend on image location or on image features. Another one is to extend translation invariance to more general invariance groups, where the shape of the structuring element spatially adapts in such a way that global group invariance is maintained. We review group-invariant morphology, discuss the relations with adaptive morphology, point out some pitfalls, and show that there is no inherent incompatibility between a spatially adaptive structuring element and global translation invariance of the corresponding morphological operators.
| Original language | English |
|---|---|
| Title of host publication | 2009 16TH IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOLS 1-6 |
| Place of Publication | NEW YORK |
| Publisher | IEEE (The Institute of Electrical and Electronics Engineers) |
| Pages | 2229-2232 |
| Number of pages | 4 |
| ISBN (Electronic) | 9781424456550 |
| ISBN (Print) | 978-1-4244-5653-6 |
| Publication status | Published - 2009 |
| Event | 16th IEEE International Conference on Image Processing - , Egypt Duration: 7-Nov-2009 → 10-Nov-2009 |
Other
| Other | 16th IEEE International Conference on Image Processing |
|---|---|
| Country/Territory | Egypt |
| Period | 07/11/2009 → 10/11/2009 |
Keywords
- Group morphology
- adaptive morphology
- space-variant structuring elements
- THEORETICAL FOUNDATIONS
- IMAGES