A topology set structure is a powerful image segmentation technique, it has advantages over individual pixels due to its intrinsic behavior, retrieval of colony characteristic of related pixels, shape independence, and ease of implementation. In this paper, we present a new method of topology model designed using Barnode, which achieves geometric preservation by collecting the pixels from binary patterns. The Barnodes are divided into several types from which the element features, and its distributions are extracted and concatenated into several enhanced feature links, formed a topology set structure. Several experiments on simulated and real data are provided to demonstrate the performance of the algorithm.