Two-Step Method for Assessing Similarity of Random Sets

IF 0.8 4区 计算机科学 Q4 IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY Image Analysis & Stereology Pub Date : 2021-12-15 DOI:10.5566/ias.2600
Vesna Gotovac Đogaš, K. Helisova, B. Radović, J. Stanek, M. Zikmundová, Kateřina Brejchová
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引用次数: 0

Abstract

The paper concerns a new statistical method for assessing dissimilarity of two random sets based on one realisation of each of them. The method focuses on shapes of the components of the random sets, namely on the curvature of their boundaries together with the ratios of their perimeters and areas. Theoretical background is introduced and then, the method is described, justified by a simulation study and applied to real data of two different types of tissue - mammary cancer and mastopathy.
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随机集相似度评估的两步法
本文研究了一种基于两个随机集的一种实现来评估两个随机集的不相似性的新统计方法。该方法关注随机集组成部分的形状,即它们边界的曲率以及它们的周长和面积的比值。介绍了该方法的理论背景,并通过仿真研究验证了该方法的正确性,并将其应用于乳腺癌和乳腺病变两种不同类型组织的实际数据中。
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来源期刊
Image Analysis & Stereology
Image Analysis & Stereology MATERIALS SCIENCE, MULTIDISCIPLINARY-MATHEMATICS, APPLIED
CiteScore
2.00
自引率
0.00%
发文量
7
审稿时长
>12 weeks
期刊介绍: Image Analysis and Stereology is the official journal of the International Society for Stereology & Image Analysis. It promotes the exchange of scientific, technical, organizational and other information on the quantitative analysis of data having a geometrical structure, including stereology, differential geometry, image analysis, image processing, mathematical morphology, stochastic geometry, statistics, pattern recognition, and related topics. The fields of application are not restricted and range from biomedicine, materials sciences and physics to geology and geography.
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