Application and Evaluation of the Common Circles Method

TL;DR

This paper evaluates the common circle method for estimating sample motion in optical diffraction tomography, demonstrating its efficiency and stability in both simulated and real-world biological tissue data.

Contribution

It presents a practical implementation of the common circle method with temporal constraints, offering a computationally efficient alternative for motion estimation in ODT.

Findings

Effective in simulated and real data

Provides stable reconstructions with temporal constraints

Offers a faster alternative to full optimization methods

Abstract

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.