We investigate the application of the common circle method for estimating sample motion in optical diffraction tomography (ODT) of sub-millimeter sized biological tissue. When samples are confined via contact-free acoustical force fields, their motion must be estimated from the captured images. The common circle method identifies intersections of Ewald spheres in Fourier space to determine rotational motion. This paper presents a practical implementation, incorporating temporal consistency constraints to achieve stable reconstructions. Our results on both simulated and real-world data demonstrate that the common circle method provides a computationally efficient alternative to full optimization methods for motion detection.

翻译：本文研究了通用圆环法在亚毫米级生物组织光学衍射层析成像中用于估计样本运动的实际应用。当样本通过非接触式声学力场进行限位时，其运动必须从捕获的图像中进行估计。通用圆环法通过识别傅里叶空间中埃瓦尔德球面的交线来确定旋转运动。本文提出了一种实用的实现方案，通过引入时间一致性约束以实现稳定的重建。我们在仿真数据和真实数据上的实验结果表明，对于运动检测任务，通用圆环法为全优化方法提供了一种计算高效的替代方案。