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基于广义分形维数的CT图像边缘检测方法比较分析,用于估计新型冠状病毒肺炎疾病感染情况。

Generalized fractal dimensions based comparison analysis of edge detection methods in CT images for estimating the infection of COVID-19 disease.

作者信息

Thangaraj C, Easwaramoorthy D

机构信息

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu India.

出版信息

Eur Phys J Spec Top. 2022;231(18-20):3717-3739. doi: 10.1140/epjs/s11734-022-00651-1. Epub 2022 Sep 5.

Abstract

The coronavirus, also known as COVID-19, has become highly contagious and has been associated with one of the world's deadliest diseases. It also has direct effects on human lungs, causing significant damage. CT-scans are commonly employed in such circumstances to promptly evaluate, detect, and treat COVID-19 patients. Without any filtering, CT-scan images are more difficult to identify the damaged parts of the lungs and determine the severity of various diseases. In this paper, we use the multifractal theory to evaluate COVID-19 patient's CT-scan images to analyze the complexity of the various patient's original, filtered, and edge detected CT-scan images. To precisely characterize the severity of the disease, the original, noisy and denoised images are compared. Furthermore, the edge detection and filtered methods called Robert, Prewitt, and Sobel are applied to analyze the various patient's COVID-19 CT-scan images and examined by the multifractal measure in the proposed technique. All of the images are converted, filtered and edge detected using Robert, Prewitt, and Sobel edge detection algorithms, and compared by the Generalized Fractal Dimensions are compared. For the CT-scan images of COVID-19 patients, the various Qualitative Measures are also computed exactly for the filtered and edge detected images by Robert, Prewitt, and Sobel schemes. It is observed that Sobel method is performed well for classifying the COIVD-19 patients' CT-scans used in this research study, when compared to other algorithms. Since the image complexity of the Sobel method is very high for all the images and then more complexity of the images contains more clarity to confirm the COVID-19 images. Finally, the proposed method is supported by ANOVA test and box plots, and the same type of classification in experimental images is explored statistically.

摘要

冠状病毒,也被称为COVID-19,已经具有高度传染性,并与世界上最致命的疾病之一相关联。它还对人类肺部有直接影响,造成重大损害。在这种情况下,CT扫描通常被用于迅速评估、检测和治疗COVID-19患者。未经任何滤波处理的CT扫描图像更难识别肺部受损部位并确定各种疾病的严重程度。在本文中,我们使用多重分形理论来评估COVID-19患者的CT扫描图像,以分析各种患者原始的、滤波后的和边缘检测后的CT扫描图像的复杂性。为了精确表征疾病的严重程度,对原始图像、有噪声图像和去噪图像进行了比较。此外,应用称为罗伯特(Robert)、普雷维特(Prewitt)和索贝尔(Sobel)的边缘检测和滤波方法来分析各种患者的COVID-19 CT扫描图像,并在所提出的技术中通过多重分形测度进行检验。所有图像都使用罗伯特、普雷维特和索贝尔边缘检测算法进行转换、滤波和边缘检测,并通过广义分形维数进行比较。对于COVID-19患者的CT扫描图像,还通过罗伯特、普雷维特和索贝尔方案对滤波后的和边缘检测后的图像精确计算了各种定性度量。观察到,与其他算法相比,索贝尔方法在对本研究中使用的COVID-19患者的CT扫描进行分类时表现良好。由于索贝尔方法对所有图像的图像复杂性都非常高,而且图像的复杂性越高,确认COVID-19图像就越清晰。最后,所提出的方法得到了方差分析测试和箱线图的支持,并对实验图像中的相同类型分类进行了统计探索。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8d28/9443658/6b6923602866/11734_2022_651_Fig1_HTML.jpg

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