论文标题
图像持续同源的二元性
Duality in Persistent Homology of Images
论文作者
论文摘要
我们得出了两个双重滤波的CW复合物的持续同源条形码之间的关系。应用于灰度数字图像，我们获得了一种算法，用于在两个不同的（双重）像素连接性的（双重）拓扑模型之间转换条形码。
We derive the relationship between the persistent homology barcodes of two dual filtered CW complexes. Applied to greyscale digital images, we obtain an algorithm to convert barcodes between the two different (dual) topological models of pixel connectivity.
