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A Bi-Scale-Space for the Analysis of Blobs

机译:双尺度空间的斑点分析

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摘要

We present a scale-space with separate scales in the greyscale and spatial dimensions, using ideas from mathematical morphology. Dynamics are used for greyscale (luminance) filtering and openings or closings with scaled disks for spatial scaling. Dynamics cater naturally for the inclusion relationships between regions and give a very good measure of the salience (scale) of a region in greyscale terms - however dynamics lack any notion of spatial extent or scale. In contrast, spatial closings or openings with scaled flat disks provide a natural measure of size or spatial scale without regard to greyscale variation. The two techniques together - both monotonic with respect to scale - provide a full basis for analysis of the image. We show the strict monotonicity properties of these operations, that is, the strict reduction of number and size of regions with increasing scales, and we give an example of use in the classification of textures.
机译:我们使用数学形态学的思想,提出了一个在灰度和空间维度上具有不同比例的比例空间。动态用于灰度(亮度)过滤以及缩放磁盘的打开或关闭以进行空间缩放。动力学自然地迎合了区域之间的包含关系,并以灰度级的形式很好地度量了一个区域的显着性(尺度)-但是,动力学缺乏任何空间范围或尺度的概念。相反,具有刻度平盘的空间闭合或开口提供了大小或空间比例的自然度量,而无需考虑灰度变化。两种技术(就比例而言都是单调的)共同为图像分析提供了完整的基础。我们展示了这些操作的严格单调性,即随着比例的增加而严格减少区域的数量和大小,并给出了在纹理分类中使用的示例。

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