The notion of Abstract Cellular Complex, which was initiated by Kovalevsky, is a consistent topology for representing images through lower-dimensional cells in the combinatorial grid. This paper introduces the concept of subspace topology in Abstract Cellular Complex and also characterizes it using the lower-dimensional cells. Further, the paper initiates the modified Chain Code algorithm and implements it in the various images and the results thus obtained are compared with the other existing methods.

中文翻译：

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抽象细胞复合体的映射及其在图像分析中的应用

由 Kovalevsky 发起的抽象细胞复合体的概念是一种一致的拓扑结构，用于通过组合网格中的低维细胞来表示图像。本文在 Abstract Cellular Complex 中引入了子空间拓扑的概念，并使用低维单元对其进行了表征。进一步，本文提出了改进的链码算法，并在各种图像中实现了它，并将由此得到的结果与其他现有方法进行了比较。