Application and Evaluation of the Common Circles Method
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Abstract (arXiv)
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.
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References · 5
- 2020Synchronizing Probability Measures on Rotations via Optimal Transportcited by 19
- 2024Parallelly Sliced Optimal Transport on Spheres and on the Rotation Groupcited by 10
- 2025Fast rigid alignment of heterogeneous images in sliced Wasserstein distancecited by 4
- 2022Total variation-based reconstruction and phase retrieval for diffraction tomographycited by 2
- 2022Motion Detection in Diffraction Tomography by Common Circle Methodscited by 1
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