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基于非截断小波有限元的BLT正向问题研究
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基金项目:

Supported by the National Natural Science Foundation of China under Grant Nos.60872137, 30873462, 90209008, 30870685, 30672690, 30600151, 60532050, 60621001 (国家自然科学基金); the National Basic Research Program of China under Grant No.2006CB705700 (国家重点基础研究发展计划(973)); the Program for Cheung Kong Scholars and Innovative Research Team in University of China under Grant No.IRT0645 (长江学者和创新团队发展计划); the Program for Chair Professors of “Cheung Kong Scholars Program” of China (“长江学者奖励计划”特聘教授); the Joint Research Fund for Overseas Chinese Young Scholars under Grant No.30528027 (海外青年学者合作研究基金); the CAS Hundred Talents Program (中国科学院百人计划); the CAS Scientific Research Equipment Develop Program under Grant Nos.YZ0642, YZ200766 (中国科学院重大科研装备研制项目); the Beijing Municipal Natural Science Foundation of China under Grant No.4071003 (北京市自然科学基金)

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    摘要:

    针对自发荧光断层成像,提出了一种非截断小波有限元算法.该算法采用单元间非截断组合小波基来逼近未知函数,从理论上解决了二维和三维下复杂形状体的剖分,并成功地应用于自发荧光断层成像正向问题中圆柱和圆球仿体的研究.理论分析和数值仿真结果表明,与传统有限元的数值解相比,该算法在获得同样有效解的情况下减少了单元剖分数,降低了计算的复杂度.

    Abstract:

    In this paper, an algorithm named non-truncated wavelet finite element for bioluminescence tomography (BLT) is proposed. Using linear combination of non-truncated wavelet functions across the elements to approximate the unknown function, this algorithm is used in BLT forward problem in phantoms of cylinder and sphere successfully. Theoretical analysis and numerical simulations show that the computation accuracy by this algorithm is almost as good as that of finite element method (FEM), while the number of elements and computational complexity reduce greatly compared with FEM.

    参考文献
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靳露冬,吴艳,王卫卫,任努努,黄鹤羽,陈雪利,韩润强.基于非截断小波有限元的BLT正向问题研究.软件学报,2009,20(5):1194-1206

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  • 收稿日期:2008-04-10
  • 最后修改日期:2009-01-14
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