{"title":"分形维数测量的面积和周长使用“盒计数”技术应用于曼德布洛特图。","authors":"C. Acosta, F. Peñuñuri, O. Carvente","doi":"10.23967/j.rimni.2022.03.007","DOIUrl":null,"url":null,"abstract":"Measuring fractal dimension in general is made over edges of a figure, however this kind of calculations could be made over a 1D, 2D or even a 3D images. With the FracLac plugin of ImageJ application, it has been possible to measure both dimensions, over the area and over the edge of a Mandelbrot fractal, using the Box Counting technique.","PeriodicalId":49607,"journal":{"name":"Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria","volume":"1 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fractal dimension measured over areas and perimeters using “Box Counting” technique applied over a Mandelbrot figure.\",\"authors\":\"C. Acosta, F. Peñuñuri, O. Carvente\",\"doi\":\"10.23967/j.rimni.2022.03.007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Measuring fractal dimension in general is made over edges of a figure, however this kind of calculations could be made over a 1D, 2D or even a 3D images. With the FracLac plugin of ImageJ application, it has been possible to measure both dimensions, over the area and over the edge of a Mandelbrot fractal, using the Box Counting technique.\",\"PeriodicalId\":49607,\"journal\":{\"name\":\"Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.23967/j.rimni.2022.03.007\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.23967/j.rimni.2022.03.007","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
Fractal dimension measured over areas and perimeters using “Box Counting” technique applied over a Mandelbrot figure.
Measuring fractal dimension in general is made over edges of a figure, however this kind of calculations could be made over a 1D, 2D or even a 3D images. With the FracLac plugin of ImageJ application, it has been possible to measure both dimensions, over the area and over the edge of a Mandelbrot fractal, using the Box Counting technique.
期刊介绍：
International Journal of Numerical Methods for Calculation and Design in Engineering (RIMNI) contributes to the spread of theoretical advances and practical applications of numerical methods in engineering and other applied sciences. RIMNI publishes articles written in Spanish, Portuguese and English. The scope of the journal includes mathematical and numerical models of engineering problems, development and application of numerical methods, advances in software, computer design innovations, educational aspects of numerical methods, etc. RIMNI is an essential source of information for scientifics and engineers in numerical methods theory and applications. RIMNI contributes to the interdisciplinar exchange and thus shortens the distance between theoretical developments and practical applications.
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