Tanaka E, Amo Y
Hamamatsu Photonics K K, Tokyo, Japan.
Phys Med Biol. 1998 Apr;43(4):739-46. doi: 10.1088/0031-9155/43/4/004.
This paper presents a Fourier rebinning algorithm for three-dimensional image reconstruction in PET that incorporates the concept of spectral transfer function. It suggests the need for discarding low-frequency components in the rebinning. It also includes the correction for rebinning efficiency which was evaluated by simulations as a function of oblique angle of projections. The performance was optimized by high-pass filters and axial smoothing. The algorithm yields satisfactory images with negligible axial cross-talk for a maximum oblique angle up to 26.6 degrees. The statistical noise was evaluated in terms of 'noise equivalent number of oblique angles', and reasonable results were obtained in view of the theoretical expectation. Ring artefacts due to noise are negligibly small.
本文提出了一种用于正电子发射断层扫描（PET）三维图像重建的傅里叶重排算法，该算法纳入了谱传递函数的概念。它表明在重排过程中需要舍弃低频分量。它还包括对重排效率的校正，重排效率通过模拟作为投影倾斜角的函数进行评估。通过高通滤波器和轴向平滑对性能进行了优化。对于最大倾斜角达26.6度的情况，该算法可产生轴向串扰可忽略不计的令人满意的图像。根据“噪声等效倾斜角数量”对统计噪声进行了评估，并且鉴于理论预期获得了合理的结果。由噪声引起的环形伪影小到可忽略不计。
