Time-harmonic optical flow with applications in elastography

被引：0
|
作者：
Melnyk, Oleh [1 ]
Quellmalz, Michael [1 ]
Steidl, Gabriele [1 ]
Jaitner, Noah [2 ]
Jordan, Jakob [2 ]
Sack, Ingolf [2 ]
机构：
[1] Technische Universität Berlin, Institute of Mathematics, Straße des 17. Juni 136, Berlin,D-10623, Germany
[2] Department of Radiology, Charité Universitätsmedizin Berlin, Charitéplatz 1, Berlin,D-10117, Germany
来源：
Inverse Problems | 2024年 / 40卷 / 12期
基金：
奥地利科学基金会;
关键词：
Fourier analysis - Fourier transforms - Harmonic analysis - Optical flows - Oscillating flow - Variational techniques;
D O I：
10.1088/1361-6420/ad9776
中图分类号：
学科分类号：
摘要：
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. © 2024 The Author(s). Published by IOP Publishing Ltd.
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