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Image segmentation and filtering based on transformations with reconstruction criteria

机译:基于重构准则的变换的图像分割与滤波

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In this paper, a class of transformations with reconstruction criteria, derived from the reconstruction transformations, is investigated. The idea to build these transformations consists in stopping the reconstruction process according to a size criterion. This class of transformations was initially proposed for obtaining intermediate results between the morphological opening and the opening by reconstruction. Here, the transformations are presented in the general case, as in the reconstruction transformations case, by imposing some conditions on the marker. We show that the set of markers for the transformations with reconstruction criteria is given by the set of dilated images. The interest of these transformations in image segmentation is shown, and in particular, the form of selecting the markers for segmenting images is described for binary images. Also, the use of the opening and closing with reconstruction criteria to build other morphological tools is illustrated to show the performance of these transformations. In particular, the notion of granulometry and the alternating sequential filters using openings and closings with reconstruction criteria are investigated.
机译:在本文中,研究了从重构转换派生的具有重构标准的一类转换。建立这些转换的想法在于根据大小标准停止重建过程。最初提出此类转换,是为了获得形态学开放与重建开放之间的中间结果。在此,通过在标记上施加一些条件,在一般情况下(与在重构转换情况下一样)呈现转换。我们表明,具有重建标准的变换的标记集由膨胀图像集给出。示出了这些变换在图像分割中的兴趣,并且特别地,针对二进制图像描述了选择用于分割图像的标记的形式。此外,还说明了使用带有重建标准的打开和关闭来构建其他形态工具的过程,以显示这些转换的性能。特别是,研究了粒度学的概念以及使用具有重建标准的开闭的交替顺序过滤器。

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