An Analysis on Natural Image Small Patches

The method of computational homology is used to analyze natural image 8 × 8 and 9x9-patches locally. Our experimental results show that there exist subspaces of the spaces of 8x8 and 9x9-patches that are topologically equivalent to a circle and a Klein bottle respectively. These extend the results of the paper ”on the local behavior of spaces of natural images.” To the larger patches. The Klein bottle feature of natural image patches can be used in image compression.