{"title":"部分缩放分形在自然物体分析中的应用","authors":"M. Punčochář, J. Drahoš, J. Slezák","doi":"10.1016/S0923-0467(96)03102-8","DOIUrl":null,"url":null,"abstract":"<div><p>The time evolution of fractal objects is ivestigated. A mechanism of iterative development is suggested based on the partial scaling of the initiator-generator fractals. The approach enables us to estimate the Hausdorff dimension of the resulting objects. An example is given from the modeling of catalytic gas-solid reactions.</p></div>","PeriodicalId":101226,"journal":{"name":"The Chemical Engineering Journal and the Biochemical Engineering Journal","volume":"64 1","pages":"Pages 1-5"},"PeriodicalIF":0.0000,"publicationDate":"1996-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0923-0467(96)03102-8","citationCount":"0","resultStr":"{\"title\":\"Application partially scaled fractals in the analysis of natural objects\",\"authors\":\"M. Punčochář, J. Drahoš, J. Slezák\",\"doi\":\"10.1016/S0923-0467(96)03102-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The time evolution of fractal objects is ivestigated. A mechanism of iterative development is suggested based on the partial scaling of the initiator-generator fractals. The approach enables us to estimate the Hausdorff dimension of the resulting objects. An example is given from the modeling of catalytic gas-solid reactions.</p></div>\",\"PeriodicalId\":101226,\"journal\":{\"name\":\"The Chemical Engineering Journal and the Biochemical Engineering Journal\",\"volume\":\"64 1\",\"pages\":\"Pages 1-5\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0923-0467(96)03102-8\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Chemical Engineering Journal and the Biochemical Engineering Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0923046796031028\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Chemical Engineering Journal and the Biochemical Engineering Journal","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0923046796031028","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Application partially scaled fractals in the analysis of natural objects
The time evolution of fractal objects is ivestigated. A mechanism of iterative development is suggested based on the partial scaling of the initiator-generator fractals. The approach enables us to estimate the Hausdorff dimension of the resulting objects. An example is given from the modeling of catalytic gas-solid reactions.
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