Jianyun Wang, Chenkai He, Zhenghua Xu, Yifan Chen, Yong Liu
{"title":"Sparse restoration of fractal self-similar data and its application in uranium distribution","authors":"Jianyun Wang, Chenkai He, Zhenghua Xu, Yifan Chen, Yong Liu","doi":"10.1007/s10967-024-09950-4","DOIUrl":null,"url":null,"abstract":"<div><p>Uranium is a rare and important energy mineral. In order to study the distribution characteristics of uranium deposits, we establish a data restoration algorithm with fractal features and sparse known point data. The algorithm ensures the accuracy of the restoration and the retention of fractal features through the steps of determining the basis function, preserving the dimension invariant restoration, and dimension greedy optimization. By comparing the numerical test with the Kriging interpolation method, it is proved that the algorithm is better in accuracy error and dimension error when restoring the fractal feature data.</p></div>","PeriodicalId":661,"journal":{"name":"Journal of Radioanalytical and Nuclear Chemistry","volume":"334 2","pages":"1205 - 1215"},"PeriodicalIF":1.5000,"publicationDate":"2025-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Radioanalytical and Nuclear Chemistry","FirstCategoryId":"92","ListUrlMain":"https://link.springer.com/article/10.1007/s10967-024-09950-4","RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, ANALYTICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Uranium is a rare and important energy mineral. In order to study the distribution characteristics of uranium deposits, we establish a data restoration algorithm with fractal features and sparse known point data. The algorithm ensures the accuracy of the restoration and the retention of fractal features through the steps of determining the basis function, preserving the dimension invariant restoration, and dimension greedy optimization. By comparing the numerical test with the Kriging interpolation method, it is proved that the algorithm is better in accuracy error and dimension error when restoring the fractal feature data.
期刊介绍:
An international periodical publishing original papers, letters, review papers and short communications on nuclear chemistry. The subjects covered include: Nuclear chemistry, Radiochemistry, Radiation chemistry, Radiobiological chemistry, Environmental radiochemistry, Production and control of radioisotopes and labelled compounds, Nuclear power plant chemistry, Nuclear fuel chemistry, Radioanalytical chemistry, Radiation detection and measurement, Nuclear instrumentation and automation, etc.