基于改进水平集模型的心脏图像分割模型

Cardiac Image Segmentation Model Based on Improved Level Set Modeling

  • 摘要: 近年来,基于变分水平集方法的心脏医学图像分割在图像处理中得到广泛的应用,然而,由于图像灰度不均匀性和梯度下降法中的符号距离函数导致图像在分割中有计算复杂、运算时间长和运算成本较高的问题。为了解决这些问题,我们提出了一种改进的活动轮廓模型,并与图像分割的快速计算算法——乘子交替方向法(ADMM)相结合来求解水平集方程。本文提出的新的水平集图像分割模型,包含了图像的邻域信息,可以更好的解决图像不均匀的问题;利用传统的梯度下降法来分割图像会有耗时长、计算成本高等问题,而用ADMM算法代替传统的算法,原本复杂的问题可以被拆分成若干个简单的子问题,逐一解决这些子问题能够更快速并准确地解决整个问题,进而解决了传统模型存在耗时长、计算复杂、计算成本高的问题。实验结果表明新模型不仅对灰度不均匀的图像具有较强的鲁棒性,还具有更高的分割效率和精度,且使用的时间少。

     

    Abstract: In recent years, medical image segmentation based on variational level set methods has been widely used in image processing, but due to image grey level inhomogeneity and features with symbols, the image in segmentation is computationally intensive, computationally time consuming and computationally expensive. These problems are mainly caused by the image grey level inhomogeneity and the dependence on the sign distance function in the gradient descent method. To solve these problems, we propose a new level-set activity contour model that is combined with a fast computational method, the Alternating Direction Method of Multipliers (ADMM), to solve the level-set activity contour model. The problem of inaccurate segmentation results is solved by introducing a new level set active contour model that uses neighbourhood information to accurately segment the region of interest. The model uses local contextual information to mitigate the effect of grey scale variations, thus improving the segmentation accuracy. Since the use of traditional segmentation methods, such as gradient descent, is usually very time consuming, computationally complex and computationally expensive, so an otherwise complex problem can be broken down into several simple sub-problems, which can be solved one by one to solve the entire problem more quickly and accurately by using a fast computational method, the ADMM algorithm. By solving the simple sub-problems and then indirectly solving the original complex problem, this decomposition can solve the problem more efficiently and accurately, thus significantly reducing the computational time and cost. Experimental results validate the robustness of our proposed model against grey scale inhomogeneity in segmented cardiac images. The model demonstrates the ability to evolve curves quickly and accurately depict the contours of cardiac images. To assess the effectiveness of the model, we conducted comparative experiments using Dice coefficient and Jaccard index as evaluation metrics. The experimental data show that our proposed model consistently achieves higher Dice coefficients and Jaccard indices compared to other existing models, indicating superior segmentation performance. In conclusion, our improved level-set contour model combined with a fast computational method, the ADMM algorithm, provides an effective solution to the difficult problems prevalent in medical image segmentation, with significant improvements in accuracy, computation time, and cost-effectiveness. Experimental results show that the new model not only has strong robustness to images with uneven gray scale, but also has higher segmentation efficiency and accuracy, and uses less time.

     

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