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Computation of the Euler Number of a Binary Image Composed of Hexagonal Cells

机译:六边形细胞组成的二值图像的欧拉数的计算

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Most of the proposals to compute the Euler number of a binary image have been designed to work with images composed of squared cells. Only a few of these methods (in the case of images composed of hexagonal cells) have been reported in literature, although it is known that images composed of hexagonal cells do not suffer from the problems of connectivity frequently found in the case of images composed of squared cells. In this paper, a new way to compute the Euler number (E) of a binary image composed of hexagonal cells is presented. For this, the perimeter P of the isolated regions in the image, their contact perimeter Pc and the type T of a cell are used to obtain this important invariant. The proposal can be used alone or in combination with other features to describe any binary planar shape composed of hexagonal pixels for its further recognition.
机译:计算二进制图像的欧拉数的大多数建议已设计为与由平方单元格组成的图像一起使用。尽管已知由六边形单元格构成的图像不存在在由六边形单元格构成的图像的情况下经常发现的连通性问题,但是文献中仅报道了这些方法中的少数方法。平方单元格。本文提出了一种新的方法来计算由六边形单元组成的二进制图像的欧拉数(E)。为此,使用图像中孤立区域的周长P,它们的接触周长Pc和单元格的类型T来获得这个重要的不变量。该建议可以单独使用,也可以与其他功能结合使用,以描述由六角形像素组成的任何二进制平面形状,以供进一步识别。

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