{"title":"PERCOLATION TRANSITION AND TOPOLOGY","authors":"P. Jouannot-Chesney, J. Jernot, C. Lantuéjoul","doi":"10.5566/IAS.1573","DOIUrl":null,"url":null,"abstract":"A number of bidimensional random structures with increasing densities are simulated to explore possible links between Euler-Poincare characteristic (EPC), or connectivity, and percolation threshold. For each structure model, the percolation threshold is compared with a number of typical points (extrema, zero crossings...) of the EPC curve. From these exercises, it can be concluded that the percolation threshold cannot be generally predicted using the evolution of the EPC.","PeriodicalId":49062,"journal":{"name":"Image Analysis & Stereology","volume":"91 1","pages":"95-103"},"PeriodicalIF":0.8000,"publicationDate":"2017-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Image Analysis & Stereology","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.5566/IAS.1573","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY","Score":null,"Total":0}
引用次数: 2
Abstract
A number of bidimensional random structures with increasing densities are simulated to explore possible links between Euler-Poincare characteristic (EPC), or connectivity, and percolation threshold. For each structure model, the percolation threshold is compared with a number of typical points (extrema, zero crossings...) of the EPC curve. From these exercises, it can be concluded that the percolation threshold cannot be generally predicted using the evolution of the EPC.
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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