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Sparse restoration of fractal self-similar data and its application in uranium distribution

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成果类型:
期刊论文
作者:
Wang, Jianyun;He, Chenkai;Xu, Zhenghua;Chen, Yifan;Liu, Yong
通讯作者:
Xu, ZH;Chen, YF
作者机构:
[He, Chenkai; Xu, Zhenghua; Wang, Jianyun] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
[Chen, Yifan; Chen, YF; Liu, Yong] Shenzhen Univ, Coll Phys & Optoelect Engn, Shenzhen 518060, Guangdong, Peoples R China.
通讯机构:
[Xu, ZH ] U
[Chen, YF ] S
Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
Shenzhen Univ, Coll Phys & Optoelect Engn, Shenzhen 518060, Guangdong, Peoples R China.
语种:
英文
关键词:
Fractal;Fractal dimension;Sparse restoration;Kriging interpolation
期刊:
Journal of Radioanalytical and Nuclear Chemistry
ISSN:
0236-5731
年:
2025
页码:
1-11
基金类别:
Postgraduate Scientific Research Innovation Project of Hunan Province [CX20230977]; Thirteenth Five-Year Plan for basic technical research, School of Mathematics and Physics, University of South China, Hengyang, Hunan, China [JSZL 2019 ****C001]; Fourteenth Five-Year Plan Basic Technological Research Project , College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen, Guangdong, China. [JSZL2022XXXX001]
机构署名:
本校为第一且通讯机构
院系归属:
数理学院
摘要:
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 accur...

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