%0 Journal Article
%T Study on three-dimensional flame temperature distribution reconstruction based on truncated singular value decomposition<br>基于截断奇异值分解的三维火焰温度场重建研究
%A Huang Qun-Xing
%A Liu Dong
%A Wang Fei
%A Yan Jian-Hu
%A Chi Yong
%A Cen Ke-Fa
%A <br>黄群星
%A 刘 冬
%A 王 飞
%A 严建华
%A 池 涌
%A 岑可法
%J 物理学报
%D 2007
%I 
%X Three-dimensional flame temperature distribution reconstruction in furnace according to the flame radiative energy images captured by CCD cameras was studied. Temperature reconstruction matrix equation is an ill-posed linear system of equations and the reconstruction problem is an ill-posed problem. Truncated singular value decomposition method (TSVD) was introduced to deal with the ill-posed matrix equation and L-curve method was adopted to choose regularization parameter. Singular value decomposition (SVD) and discrete Picard condition were used to analyze the ill-posed characteristics of the reconstruction problem carefully. The results show that reasonable solutions can be obtained by TSVD and the reconstructed temperature distribution can reproduce the feature of the assumed temperature distribution.
%K temperature distribution
%K ill-posed problem
%K TSVD
%K discrete Picard condition<br>温度场重建
%K 不适定问题
%K 截断奇异值分解
%K 离散Picard条件
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=1A7F80CA21754FB42047BB131FB3650F&yid=A732AF04DDA03BB3&vid=014B591DF029732F&iid=708DD6B15D2464E8&sid=D717457681EBAC63&eid=F9D206ACB3437581&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=15