| Автор | Froment, Jacques |
| Дата выпуска | 1999 |
| dc.description | This paper describes a compact perceptual image model intended for morphological representation of the visual information contained in natural images. We explain why the total variation can be a criterion to split the information between the two main visual structures, which are the sketch and the microtextures. We deduce a morphological decomposition scheme, based on a segmentation where the borders of the regions correspond to the location of the topological singularities of a topographic map. This leads to propose a new and morphological definition of edges. The sketch is computed by approximating the image with a piecewise smooth non-oscillating function, using a Lipshitz interpolant given as the solution of a PDE. The data needed to reconstruct the sketch image are very compact, so that an immediate outcome of this image model is the design of a progressive, and artifact-free, image compression scheme. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 1999 |
| Тема | Perceptual image model |
| Тема | total variation |
| Тема | mathematical morphology |
| Тема | segmentation |
| Тема | image compression. |
| Название | a functional analysis model for natural images permitting structured compression |
| Тип | research-article |
| DOI | 10.1051/cocv:1999118 |
| Electronic ISSN | 1262-3377 |
| Print ISSN | 1292-8119 |
| Журнал | ESAIM: Control, Optimisation and Calculus of Variations |
| Том | 4 |
| Первая страница | 473 |
| Последняя страница | 495 |
| Аффилиация | Froment Jacques; PRISME, UFR de Math. et Info., Université R. Descartes Paris 5, 45 rue des Saints-Pères, 75270 Paris Cedex 06, France.; CMLA, École Normale Supérieure de Cachan, 61 avenue du Président Wilson, 94235 Cachan Cedex, France. |
