Dolgin Madlena, Einziger Pinchas D
Department of Electrical Engineering, Technion- Israel Institute of Technology, Haifa 32000, Israel.
IEEE Trans Biomed Eng. 2006 Dec;53(12 Pt 1):2464-71. doi: 10.1109/TBME.2006.884638.
The reconstruction of layered biological tissues, via electrical impedance tomography, is carried out by utilizing two alternative linear transformations, namely, Legendre polynomial expansion and Fourier Bessel transform. Both transformations are performed on a recently proposed image series expansion scheme in conjunction with the WKB approximation. The resultant spectrum posses a crucially important locality feature, assigning analytically to each spectral image term a local impedance associated with a unique layer, and thereby leading to efficient and accurate novel reconstruction procedures. The quality of the reconstruction procedures is verified through numerical simulations, revealing small reconstruction errors even in the presence of noisy data.
通过电阻抗断层成像技术对分层生物组织进行重建,是利用两种交替的线性变换来实现的,即勒让德多项式展开和傅里叶贝塞尔变换。这两种变换都是在最近提出的图像序列展开方案中结合WKB近似进行的。所得频谱具有一个至关重要的局部性特征,即通过解析为每个频谱图像项赋予一个与唯一层相关联的局部阻抗,从而产生高效且准确的新型重建程序。通过数值模拟验证了重建程序的质量,结果表明即使存在噪声数据,重建误差也很小。