Nonlinear Filters and Characterization of the Discrete Pulse Transform of Images
The Discrete Pulse Transform (DPT) for images and videos has been developed over the past few years and provides a theoretically sound setting for a nonlinear decomposition of an image or video. In [1] the theoretical basis of the DPT was presented. In this paper we now present a sound characteriza...
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| Format: | Article |
| Language: | English |
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Bulgarian Academy of Sciences, Institute of Mathematics and Informatics
2012-12-01
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| Series: | Biomath |
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| Online Access: | http://www.biomathforum.org/biomath/index.php/biomath/article/view/33 |
| _version_ | 1827853277534879744 |
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| author | Inger Fabris-Rotelli |
| author_facet | Inger Fabris-Rotelli |
| author_sort | Inger Fabris-Rotelli |
| collection | DOAJ |
| description | The Discrete Pulse Transform (DPT) for images and videos has been developed over the past few years and provides a theoretically sound setting for a nonlinear decomposition of an image or video. In [1] the theoretical basis of the DPT was presented. In this paper we now present a sound characterization of this useful nonlinear
hierarchical decomposition by referring to its ability as a separator, the consistency of the decomposition, as well as the smoothing ability of the decomposition. |
| first_indexed | 2024-03-12T11:02:57Z |
| format | Article |
| id | doaj.art-dcdfca055ece4d4d83f96547ba99e6d8 |
| institution | Directory Open Access Journal |
| issn | 1314-684X 1314-7218 |
| language | English |
| last_indexed | 2024-03-12T11:02:57Z |
| publishDate | 2012-12-01 |
| publisher | Bulgarian Academy of Sciences, Institute of Mathematics and Informatics |
| record_format | Article |
| series | Biomath |
| spelling | doaj.art-dcdfca055ece4d4d83f96547ba99e6d82023-09-02T04:31:22ZengBulgarian Academy of Sciences, Institute of Mathematics and InformaticsBiomath1314-684X1314-72182012-12-011210.11145/j.biomath.2012.11.11942Nonlinear Filters and Characterization of the Discrete Pulse Transform of ImagesInger Fabris-Rotelli0University of Pretoria, South AfricaThe Discrete Pulse Transform (DPT) for images and videos has been developed over the past few years and provides a theoretically sound setting for a nonlinear decomposition of an image or video. In [1] the theoretical basis of the DPT was presented. In this paper we now present a sound characterization of this useful nonlinear hierarchical decomposition by referring to its ability as a separator, the consistency of the decomposition, as well as the smoothing ability of the decomposition.http://www.biomathforum.org/biomath/index.php/biomath/article/view/33LULUDiscrete Pulse TransformDPTNonlinear DecompositionFeature Detection |
| spellingShingle | Inger Fabris-Rotelli Nonlinear Filters and Characterization of the Discrete Pulse Transform of Images Biomath LULU Discrete Pulse Transform DPT Nonlinear Decomposition Feature Detection |
| title | Nonlinear Filters and Characterization of the Discrete Pulse Transform of Images |
| title_full | Nonlinear Filters and Characterization of the Discrete Pulse Transform of Images |
| title_fullStr | Nonlinear Filters and Characterization of the Discrete Pulse Transform of Images |
| title_full_unstemmed | Nonlinear Filters and Characterization of the Discrete Pulse Transform of Images |
| title_short | Nonlinear Filters and Characterization of the Discrete Pulse Transform of Images |
| title_sort | nonlinear filters and characterization of the discrete pulse transform of images |
| topic | LULU Discrete Pulse Transform DPT Nonlinear Decomposition Feature Detection |
| url | http://www.biomathforum.org/biomath/index.php/biomath/article/view/33 |
| work_keys_str_mv | AT ingerfabrisrotelli nonlinearfiltersandcharacterizationofthediscretepulsetransformofimages |