Well-posedness of a nonlinear integro-differential problem and its rearranged formulation
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2015
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914653524721664 |
|---|---|
| author | Galiano, Gonzalo Schiavi, Emanuele Velasco, Julián |
| author_facet | Galiano, Gonzalo Schiavi, Emanuele Velasco, Julián |
| contents | We study the existence and uniqueness of solutions of a nonlinear integro-differential problem which we reformulate introducing the notion of the decreasing rearrangement of the solution. A dimensional reduction of the problem is obtained and a detailed analysis of the properties of the solutions of the model is provided. Finally, a fast numerical method is devised and implemented to show the performance of the model when typical image processing tasks such as filtering and segmentation are performed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1506_02247 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Well-posedness of a nonlinear integro-differential problem and its rearranged formulation Galiano, Gonzalo Schiavi, Emanuele Velasco, Julián Computer Vision and Pattern Recognition We study the existence and uniqueness of solutions of a nonlinear integro-differential problem which we reformulate introducing the notion of the decreasing rearrangement of the solution. A dimensional reduction of the problem is obtained and a detailed analysis of the properties of the solutions of the model is provided. Finally, a fast numerical method is devised and implemented to show the performance of the model when typical image processing tasks such as filtering and segmentation are performed. |
| title | Well-posedness of a nonlinear integro-differential problem and its rearranged formulation |
| topic | Computer Vision and Pattern Recognition |
| url | https://arxiv.org/abs/1506.02247 |