Investigations of the distribution and variation of gamma radiation field play an important role in nuclear installation monitor and radioprotection.
Purpose
2
In order to obtain the gamma radiation field distribution
one has to deal with the problem of reconstructing the whole gamma radiation field using the small scaled
discrete and irregular distributed experimental data.
Methods
2
In present paper
several classic scattered data interpolation techniques are introduced with the emphasis on parallel radial basis function interpolation method
and the Multiquadric algorithm is applied to reconstruct the gamma field.
Results
2
For the gamma radiation with rotational symmetry
it is found that
the reconstruction results from Multiquadric method is much better than the result from the built-in interpolation method based on the same sampling data
where the average relative error of Multiquadric result is only 9.47% of the later. For the gamma radiation field with π/2 symmetry
an optimized method for sampling data is proposed and it is found that the average relative error of Multiquadric interpolation results after optimization has been reduced by 64.51% or so.
Conclusion
2
Multiquadric method can be applied for the reconstruction of the gamma radiation filed based on small scaled
discrete and irregular distributed detected gamma field information with high precision
and the experimental investigations are also in progress.
WANG Xiaojing. Research on application of VR technology in radiation protection[D]. Hefei:Hefei University of Technology, 2010. DOI:10.7666/d.y1700273 http://dx.doi.org/10.7666/d.y1700273
Lorensen W E, Cline H E. Marching cubes:a high resolution 3D surface construction algorithm[C]. ACM Siggraph Computer Graphics, ACM, 1987, 21(4):163-169. DOI:10.1145/37402.37422 http://dx.doi.org/10.1145/37402.37422
Hao YIN , Guangming DAI . Study on visualization of scattered data . Microcomputer Development , 2005 . 15 ( 7 ): 7 - 10 . DOI: 10.3969/j.issn.1673-29X.2005.07.003 http://doi.org/10.3969/j.issn.1673-29X.2005.07.003 .
Shepard D. A two-dimensional interpolation function for irregularly spaced data[C]. Proceedings of the 1968 23rd ACM National Conference, ACM, 1968:517-524
M D Buhmann . Radial basis functions:theory and implementations , Cambridge University Press , 2003 . 4 DOI: 10.1017/CBO9780511543241 http://doi.org/10.1017/CBO9780511543241 .
Yilang LIU , Weiwei ZHANG , Yuewen JIANG , . A reconstruction method for finite volume flow field solving based on incremental radial basis function . Chinese Journal of Theoretical and Applied Mechanics , 2014 . 46 ( 5 ): 694 - 702 . DOI: 10.6052/0459-1879-14-028 http://doi.org/10.6052/0459-1879-14-028 .
O Estruch , O Lehmkuhl , R Borrell , . A parallel radial basis function interpolation method for unstructured dynamic meshes . Computers & Fluids , 2013 . 80 ( 7 ): 44 - 54 . DOI: 10.1016/j.compfluid.2012.06.015 http://doi.org/10.1016/j.compfluid.2012.06.015 .
R Franke . Scattered data interpolation:tests of some methods . Mathematics of Computation , 1982 . 38 ( 38 ): 181 - 181 . DOI: 10.2307/2007474 http://doi.org/10.2307/2007474 .
ZHU Wenwen. Scattered data interpolation with random radical basis functions[D]. Dalian:Liaoning Normal University, 2009. DOI:10.7666/d.y1600762 http://dx.doi.org/10.7666/d.y1600762
Jun HE , Chaowen YANG . Measurement of γ absorption dose rate through measuring the full energy peak of γ spectrum . Nuclear Techniques , 2014 . 37 ( 7 ): 070403 DOI: 10.11889/j.0253-219.2014.hjs.37.070403 http://doi.org/10.11889/j.0253-219.2014.hjs.37.070403 http://www.j.sinap.ac.cn/hejishu/CN/abstract/abstract208.shtml .
Lianping ZHANG , Lunqiang WU , Xiaojun DANG , . Acquiring the nuclide distribution based on the hypothesis of layered uniform distribution . Nuclear Techniques , 2014 . 37 ( 2 ): 020602 DOI: 10.11889/j.0253-219.2014.hjs.37.020602 http://doi.org/10.11889/j.0253-219.2014.hjs.37.020602 http://www.j.sinap.ac.cn/hejishu/CN/abstract/abstract144.shtml .
R L Hardy . Multiquadric equations of topography and other irregular surfaces . Journal of Geophysical Research , 1971 . 76 ( 8 ): 1905 - 1915 . DOI: 10.1029/JB076i008p01905 http://doi.org/10.1029/JB076i008p01905 .