Setting the regularization coefficient based on image energy in image segmentation using kernel graph cut algorithm
Mehrnaz Niazi,
Kambiz Rahbar
Abstract:The kernel graph cut method provides good performance in image segmentation. However, its efficiency strongly depends on the data term and regularization term in the objective function. The data term maps the standard deviation of the data of each region to the transformation space. The regularization term is responsible for smoothing the boundaries. The regularization term, based on a constant coefficient, is added to the data term. Allocating a fixed coefficient for all images leads to inappropriate image se… Show more
In graph theory and network analysis, finding the minimum cut in a graph is a fundamental algorithmic challenge. This paper explores the development and application of Benczur-Karger’s minimum cut algorithms, focusing on the relationship between theoretical advancements and practical implementation. Despite the algorithm's advantages, there are challenges related to its implementation complexities and the effects of compression factor settings. To address these issues, this paper first implements Benczur-Karger’s minimum cuts algorithm in Python and discusses the implementation details. Additionally, we propose a new compression factor setting for Benczur-Karger’s minimum cuts algorithm and conduct an experiment with this new setting. The experimental results show that our proposed compression factor performs better than the original one. Finally, we discuss the application of Benczur-Karger’s minimum cuts algorithm in social network analysis, a field where its use has been limited. The code is available at https://github.com/HarleyHanqin/Modified_BK.
In graph theory and network analysis, finding the minimum cut in a graph is a fundamental algorithmic challenge. This paper explores the development and application of Benczur-Karger’s minimum cut algorithms, focusing on the relationship between theoretical advancements and practical implementation. Despite the algorithm's advantages, there are challenges related to its implementation complexities and the effects of compression factor settings. To address these issues, this paper first implements Benczur-Karger’s minimum cuts algorithm in Python and discusses the implementation details. Additionally, we propose a new compression factor setting for Benczur-Karger’s minimum cuts algorithm and conduct an experiment with this new setting. The experimental results show that our proposed compression factor performs better than the original one. Finally, we discuss the application of Benczur-Karger’s minimum cuts algorithm in social network analysis, a field where its use has been limited. The code is available at https://github.com/HarleyHanqin/Modified_BK.
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