{"title":"著名的“前立体学”工具:半个世纪以来水泥基材料的应用综述","authors":"P. Stroeven","doi":"10.5566/ias.2207","DOIUrl":null,"url":null,"abstract":"Old theorems by Cavalieri, Buffon and Cauchy that have been mentioned earlier for their relevance to materials engineering are discussed herein, whereby it is indicated how we applied them on cementbased materials. Specifically, relevant problems treated by the present author are surveyed. Particularly in the presently explored field of porosimetry and permeability estimation of virtual representations of the cement-based materials, it is demonstrated how the stereological framework - in which the theorems are embedded to day - develops with respect to the discussed problems.","PeriodicalId":49062,"journal":{"name":"Image Analysis & Stereology","volume":"23 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2019-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"FAMOUS “PRE-STEREOLOGICAL” TOOLS: SURVEY OF APPLICATIONS ON CEMENT-BASED MATERIALS DURING PAST HALF OF A CENTURY\",\"authors\":\"P. Stroeven\",\"doi\":\"10.5566/ias.2207\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Old theorems by Cavalieri, Buffon and Cauchy that have been mentioned earlier for their relevance to materials engineering are discussed herein, whereby it is indicated how we applied them on cementbased materials. Specifically, relevant problems treated by the present author are surveyed. Particularly in the presently explored field of porosimetry and permeability estimation of virtual representations of the cement-based materials, it is demonstrated how the stereological framework - in which the theorems are embedded to day - develops with respect to the discussed problems.\",\"PeriodicalId\":49062,\"journal\":{\"name\":\"Image Analysis & Stereology\",\"volume\":\"23 1\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2019-12-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Image Analysis & Stereology\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.5566/ias.2207\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Image Analysis & Stereology","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.5566/ias.2207","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}
FAMOUS “PRE-STEREOLOGICAL” TOOLS: SURVEY OF APPLICATIONS ON CEMENT-BASED MATERIALS DURING PAST HALF OF A CENTURY
Old theorems by Cavalieri, Buffon and Cauchy that have been mentioned earlier for their relevance to materials engineering are discussed herein, whereby it is indicated how we applied them on cementbased materials. Specifically, relevant problems treated by the present author are surveyed. Particularly in the presently explored field of porosimetry and permeability estimation of virtual representations of the cement-based materials, it is demonstrated how the stereological framework - in which the theorems are embedded to day - develops with respect to the discussed problems.
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.