Yan Aimin, Wu Xizeng, Liu Hong
Department of Radiology, University of Alabama at Birmingham, Birmingham, AL 35233, USA.
Opt Express. 2010 Jul 19;18(15):16074-89. doi: 10.1364/OE.18.016074.
The phase retrieval is an important task in x-ray phase contrast imaging. The robustness of phase retrieval is especially important for potential medical imaging applications such as phase contrast mammography. Recently the authors developed an iterative phase retrieval algorithm, the attenuation-partition based algorithm, for the phase retrieval in inline phase-contrast imaging [1]. Applied to experimental images, the algorithm was proven to be fast and robust. However, a quantitative analysis of the performance of this new algorithm is desirable. In this work, we systematically compared the performance of this algorithm with other two widely used phase retrieval algorithms, namely the Gerchberg-Saxton (GS) algorithm and the Transport of Intensity Equation (TIE) algorithm. The systematical comparison is conducted by analyzing phase retrieval performances with a digital breast specimen model. We show that the proposed algorithm converges faster than the GS algorithm in the Fresnel diffraction regime, and is more robust against image noise than the TIE algorithm. These results suggest the significance of the proposed algorithm for future medical applications with the x-ray phase contrast imaging technique.
相位恢复是X射线相衬成像中的一项重要任务。相位恢复的稳健性对于诸如相衬乳腺摄影等潜在的医学成像应用尤为重要。最近，作者开发了一种迭代相位恢复算法，即基于衰减划分的算法，用于在线相衬成像中的相位恢复[1]。应用于实验图像时，该算法被证明是快速且稳健的。然而，对这种新算法的性能进行定量分析是很有必要的。在这项工作中，我们系统地将该算法的性能与其他两种广泛使用的相位恢复算法，即格尔奇贝格 - 萨克斯顿（GS）算法和强度传输方程（TIE）算法进行了比较。通过使用数字乳腺标本模型分析相位恢复性能来进行系统比较。我们表明，所提出的算法在菲涅耳衍射区域比GS算法收敛更快，并且比TIE算法对图像噪声更具稳健性。这些结果表明了所提出的算法对于未来采用X射线相衬成像技术的医学应用的重要性。
