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arXiv 1204.4758cs.CVmath.OA
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形状空间中的形态学滤波:使用基于树的图像表示的应用

Morphological Filtering in Shape Spaces: Applications using Tree-Based Image Representations

EPITA Research and Development Laboratory (LRDE)(EPITA研发实验室(LRDE));Université Paris-Est(巴黎东大学);ESIEE(巴黎高等电子与电工技术工程师学校)

Yongchao Xu, Thierry Géraud, Laurent Najman

摘要:

连通算子是通过合并图像的基本区域来起作用的过滤工具。一种流行的策略是基于树的图像表示:例如,可以计算树的每个节点上的属性,并仅保留属性足够强的节点。这个操作可以被看作是树的阈值化,看作是一个节点被属性加权的图。而不是仅仅满足于阈值,我们建议扩展这个想法,并在这个最新的图上应用连接过滤器。因此,滤波不是在图像的空间中进行,而是在从图像构建的形状的空间上进行。这样的处理是现有的基于树的连通算子的推广。事实上,该框架包括经典的现有连接运营商的属性。它也使我们能够提出一类新的连接运营商的水平家庭,形状属性的基础上。最后,我们还提出了一类新的自对偶连通算子,我们称之为形态整形。

英文摘要:

Connected operators are filtering tools that act by merging elementary regions of an image. A popular strategy is based on tree-based image representations: for example, one can compute an attribute on each node of the tree and keep only the nodes for which the attribute is sufficiently strong. This operation can be seen as a thresholding of the tree, seen as a graph whose nodes are weighted by the attribute. Rather than being satisfied with a mere thresholding, we propose to expand on this idea, and to apply connected filters on this latest graph. Consequently, the filtering is done not in the space of the image, but on the space of shapes build from the image. Such a processing is a generalization of the existing tree-based connected operators. Indeed, the framework includes classical existing connected operators by attributes. It also allows us to propose a class of novel connected operators from the leveling family, based on shape attributes. Finally, we also propose a novel class of self-dual connected operators that we call morphological shapings.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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