Application and Evaluation of the Common Circles Method
This work addresses motion estimation in a specific domain (optical diffraction tomography for biological tissue), presenting an incremental improvement with practical implementation.
The paper tackled the problem of estimating sample motion in optical diffraction tomography of biological tissue confined by acoustical force fields, and demonstrated that the common circle method offers a computationally efficient alternative to full optimization methods for motion detection.
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.