Time-harmonic optical flow with applications in elastography

Melnyk O, Quellmalz M, Steidl G, Jaitner N, Jordan JEL, Sack I (2024)

Publication Type: Journal article

Publication year: 2024

Journal

Inverse Problems Institute of Physics: Hybrid Open Access

Book Volume: 40

Pages Range: 125026

Issue: 12

DOI: 10.1088/1361-6420/ad9776

Abstract

In this paper, we propose mathematical models for reconstructing the optical flow in time-harmonic elastography. In this image acquisition technique, the object undergoes a special time-harmonic oscillation with known frequency so that only the spatially varying amplitude of the velocity field has to be determined. This allows for a simpler multi-frame optical flow analysis using Fourier analytic tools in time. We propose three variational optical flow models and show how their minimization can be tackled via Fourier transform in time. Numerical examples with synthetic as well as real-world data demonstrate the benefits of our approach.

Additional Organisation(s)

Sonderforschungsbereich 1540/1 - Erforschung der Mechanik des Gehirns (EBM): Verständnis, Engineering und Nutzung mechanischer Eigenschaften und Signale in der Entwicklung, Physiologie und Pathologie des zentralen Nervensystems

Involved external institutions

Technische Universität Berlin DE Germany (DE) Charité - Universitätsmedizin Berlin DE Germany (DE)

How to cite

APA:

Melnyk, O., Quellmalz, M., Steidl, G., Jaitner, N., Jordan, J.E.L., & Sack, I. (2024). Time-harmonic optical flow with applications in elastography. Inverse Problems, 40, 125026. https://doi.org/10.1088/1361-6420/ad9776

MLA:

Melnyk, Oleh, et al. "Time-harmonic optical flow with applications in elastography." Inverse Problems 40 (2024): 125026.

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