文章摘要
张东文,陶进绪,叶寒生.超声逆散射成像问题中正则化参数研究[J].声学技术,2008,(3):351~355
超声逆散射成像问题中正则化参数研究
A novel method for regularization parameter determination with applications to ultrasound diffraction tomography
投稿时间:2007-07-21  修订日期:2007-10-30
DOI:
中文关键词: 超声逆散射成像  矩量法  DBI(Distored Born Iteration)  离散正则化
英文关键词: ultrasound inverse scattering imaging  moment method  distored born iteration  discrete regularization
基金项目:
作者单位E-mail
张东文 中国科学技术大学电子工程与信息科学系, 合肥, 230027 bsdwen@mail.ustc.edu.cn 
陶进绪 中国科学技术大学电子工程与信息科学系, 合肥, 230027  
叶寒生 中国科学技术大学电子工程与信息科学系, 合肥, 230027  
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中文摘要:
      研究了二维理想情况下,基于精确场描述的超声逆散射成像问题,先用矩量法将波动方程化为离散形式,分别用BI和DBI算法进行迭代重建。影响整个算法的一个关键因素是散射场方程的正则化求解,具有明显的不适定性。文章基于L曲线法,提出以解的范数和残差变化量的加权形式作为确定正则化参数的依据,在迭代过程根据问题不适定性程度,自适应地调整搜索范围。仿真结果表明,该算法可快速地找到最优正则化参数。
英文摘要:
      Problem of 2-D ultrasound diffraction tomography based on precise field description in the loss-less circumstance is studied. For the inverse problem,the moment method is adopted to discretize the acoustic wave equations, and then the contrast function is reconstructed by using DBI and BI algorithm respectively.The regularization method for scattering equation seriously, which is ill-posed, affects the performance of reconstruction. Based on the L-curve,a novel method for regularization parameter determination is proposed by comprehensively considering the variations in norm and residual error of solutions. To get the optimal regularization parameter,a fast search applying adaptive search range according to ill-posedness works during iterative process.
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