应用数学视域下分形几何学在医学图像处理中的应用  

Application of Fractal Geometry in Medical Image Processing

作　　者：袁晶[1] YUAN Jing(College of Medical Information and Engineering,Ningxia Medical University,Yinchuan Ningxia 750004,China)

机构地区：[1]宁夏医科大学医学信息与工程学院,宁夏银川1750004

出　　处：《信息与电脑》2023年第17期30-32,共3页Information & Computer

基　　金：宁夏回族自治区教育厅高等学校科学研究项目(项目编号:NYC-2022-040)。

摘　　要：针对医学图像边界不清晰,不利于结合图像对患者疾病进行分类和辨识的问题,在应用数学视域下,开展对分形几何学在医学图像处理中的应用研究。首先,结合人体内各器官结构的自相似特征,构建医学图像分形自相似模型;其次,利用分形几何学分割图像,并进行压缩;最后,完成医学图像内插处理。通过实例证明,应用新处理方法可以实现对医学图像分维数的分析,准确辨识疾病类型以及病变状态。In response to the problem of unclear boundaries in medical images,which is not conducive to the classification and identification of patient diseases based on images,the application of fractal geometry in medical image processing is studied from the perspective of applied mathematics.Firstly,based on the self similarity characteristics of various organ structures in the human body,a fractal self similarity model for medical images is constructed.Secondly,use fractal geometry to segment images and compress them.Finally,complete the medical image interpolation processing.Through practical examples,it has been proven that the application of the new processing method can achieve analysis of the fractal dimension of medical images,accurately identify disease types and disease states.

关 键 词：应用数学 分形几何学 医学 图像处理 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]