Spatially Adaptive Regularization in Image Segmentation
We present a total-variation-regularized image segmentation model that uses local regularization parameters to take into account spatial image information. We propose some techniques for defining those parameters, based on the cartoon-texture decomposition of the given image, on the mean and median...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-09-01
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| Series: | Algorithms |
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| Online Access: | https://www.mdpi.com/1999-4893/13/9/226 |
| _version_ | 1797554276118036480 |
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| author | Laura Antonelli Valentina De Simone Daniela di Serafino |
| author_facet | Laura Antonelli Valentina De Simone Daniela di Serafino |
| author_sort | Laura Antonelli |
| collection | DOAJ |
| description | We present a total-variation-regularized image segmentation model that uses local regularization parameters to take into account spatial image information. We propose some techniques for defining those parameters, based on the cartoon-texture decomposition of the given image, on the mean and median filters, and on a thresholding technique, with the aim of preventing excessive regularization in piecewise-constant or smooth regions and preserving spatial features in nonsmooth regions. Our model is obtained by modifying a well-known image segmentation model that was developed by T. Chan, S. Esedoḡlu, and M. Nikolova. We solve the modified model by an alternating minimization method using split Bregman iterations. Numerical experiments show the effectiveness of our approach. |
| first_indexed | 2024-03-10T16:29:37Z |
| format | Article |
| id | doaj.art-63c5a79fc1294afcac7fb87b788ea7a4 |
| institution | Directory Open Access Journal |
| issn | 1999-4893 |
| language | English |
| last_indexed | 2024-03-10T16:29:37Z |
| publishDate | 2020-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Algorithms |
| spelling | doaj.art-63c5a79fc1294afcac7fb87b788ea7a42023-11-20T12:57:19ZengMDPI AGAlgorithms1999-48932020-09-0113922610.3390/a13090226Spatially Adaptive Regularization in Image SegmentationLaura Antonelli0Valentina De Simone1Daniela di Serafino2Institute for High Performance Computing and Networking (ICAR), Italian National Research Council (CNR), via P. Castellino 111, I-80131 Naples, ItalyDepartment of Mathematics and Physics, University of Campania “Luigi Vanvitelli”, viale A. Lincoln 5, I-81100 Caserta, ItalyDepartment of Mathematics and Physics, University of Campania “Luigi Vanvitelli”, viale A. Lincoln 5, I-81100 Caserta, ItalyWe present a total-variation-regularized image segmentation model that uses local regularization parameters to take into account spatial image information. We propose some techniques for defining those parameters, based on the cartoon-texture decomposition of the given image, on the mean and median filters, and on a thresholding technique, with the aim of preventing excessive regularization in piecewise-constant or smooth regions and preserving spatial features in nonsmooth regions. Our model is obtained by modifying a well-known image segmentation model that was developed by T. Chan, S. Esedoḡlu, and M. Nikolova. We solve the modified model by an alternating minimization method using split Bregman iterations. Numerical experiments show the effectiveness of our approach.https://www.mdpi.com/1999-4893/13/9/226image segmentationspatially adaptive regularizationnonsmooth optimizationsplit bregman method |
| spellingShingle | Laura Antonelli Valentina De Simone Daniela di Serafino Spatially Adaptive Regularization in Image Segmentation Algorithms image segmentation spatially adaptive regularization nonsmooth optimization split bregman method |
| title | Spatially Adaptive Regularization in Image Segmentation |
| title_full | Spatially Adaptive Regularization in Image Segmentation |
| title_fullStr | Spatially Adaptive Regularization in Image Segmentation |
| title_full_unstemmed | Spatially Adaptive Regularization in Image Segmentation |
| title_short | Spatially Adaptive Regularization in Image Segmentation |
| title_sort | spatially adaptive regularization in image segmentation |
| topic | image segmentation spatially adaptive regularization nonsmooth optimization split bregman method |
| url | https://www.mdpi.com/1999-4893/13/9/226 |
| work_keys_str_mv | AT lauraantonelli spatiallyadaptiveregularizationinimagesegmentation AT valentinadesimone spatiallyadaptiveregularizationinimagesegmentation AT danieladiserafino spatiallyadaptiveregularizationinimagesegmentation |