摘要
引入无网格方法替代传统有限元方法(FEM),求解弥散光学层析成像(DOT)正问题,避免了FEM需要人工根据实际形状生成和调整网格的繁琐过程.优化形函数及各项参数,得到精确解.在求解逆问题时引入第2重较稀疏自适应点阵,能够根据重建迭代过程中的结果自适应调整分布和密度,一方面较大限度地减少了计算消耗,提高计算速度,另一方面抑制了问题的病态性,能够得到更鲁棒的结果.逆问题二维仿真实验表明,在噪声抑制、图像分辨率、网格依赖性方面该方法均优于传统方法.三维仿真实验和实物体模实验结果进一步体现了该方法的优势.
The mesh free method was employed to solve forward problem of diffuse optical tomography （DOT） image reconstruction. The burdensome mesh generation work of the finite element method （FEM） was avoided. The shape function and related coefficients of mesh free method were optimized for the very problem. In the inverse problem, a second self-adoptive sparse node set was utilized to reduce the calcula- tion consumption and suppress the illness of the problem. The advantages in respects of noise suppression, reconstructed image resolution, mesh dependence of the proposed method were proved in two-dimensional sim- ulation experiments. The results of three-dimensional and phantom experiments reinforced the conclusion.
出处
《浙江大学学报（工学版）》
EI
CAS
CSCD
北大核心
2013年第1期102-108,共7页
Journal of Zhejiang University：Engineering Science
基金
国家"973"重点基础研究发展规划资助项目(2010CB732504)
国家自然科学基金资助项目(60872068)
