Application and Evaluation of the Common Circles Method

Fuente: arXiv
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Autori principali: Quellmalz, Michael, Løvmo, Mia Kvåle, Moser, Simon, Strasser, Franziska, Ritsch-Marte, Monika
Natura: Preprint
Pubblicazione: 2026
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author Quellmalz, Michael
Løvmo, Mia Kvåle
Moser, Simon
Strasser, Franziska
Ritsch-Marte, Monika
author_facet Quellmalz, Michael
Løvmo, Mia Kvåle
Moser, Simon
Strasser, Franziska
Ritsch-Marte, Monika
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_17353
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Application and Evaluation of the Common Circles Method
Quellmalz, Michael
Løvmo, Mia Kvåle
Moser, Simon
Strasser, Franziska
Ritsch-Marte, Monika
Numerical Analysis
Computer Vision and Pattern Recognition
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.
title Application and Evaluation of the Common Circles Method
topic Numerical Analysis
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2602.17353