FB-Diff: Fourier Basis-guided Diffusion for Temporal Interpolation of 4D Medical Imaging

Fuente: arXiv
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Auteurs principaux: You, Xin, Yang, Runze, Zhang, Chuyan, Jiang, Zhongliang, Yang, Jie, Navab, Nassir
Format: Preprint
Publié: 2025
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author You, Xin
Yang, Runze
Zhang, Chuyan
Jiang, Zhongliang
Yang, Jie
Navab, Nassir
author_facet You, Xin
Yang, Runze
Zhang, Chuyan
Jiang, Zhongliang
Yang, Jie
Navab, Nassir
contents The temporal interpolation task for 4D medical imaging, plays a crucial role in clinical practice of respiratory motion modeling. Following the simplified linear-motion hypothesis, existing approaches adopt optical flow-based models to interpolate intermediate frames. However, realistic respiratory motions should be nonlinear and quasi-periodic with specific frequencies. Intuited by this property, we resolve the temporal interpolation task from the frequency perspective, and propose a Fourier basis-guided Diffusion model, termed FB-Diff. Specifically, due to the regular motion discipline of respiration, physiological motion priors are introduced to describe general characteristics of temporal data distributions. Then a Fourier motion operator is elaborately devised to extract Fourier bases by incorporating physiological motion priors and case-specific spectral information in the feature space of Variational Autoencoder. Well-learned Fourier bases can better simulate respiratory motions with motion patterns of specific frequencies. Conditioned on starting and ending frames, the diffusion model further leverages well-learned Fourier bases via the basis interaction operator, which promotes the temporal interpolation task in a generative manner. Extensive results demonstrate that FB-Diff achieves state-of-the-art (SOTA) perceptual performance with better temporal consistency while maintaining promising reconstruction metrics. Codes are available.
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id arxiv_https___arxiv_org_abs_2507_04547
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publishDate 2025
record_format arxiv
spellingShingle FB-Diff: Fourier Basis-guided Diffusion for Temporal Interpolation of 4D Medical Imaging
You, Xin
Yang, Runze
Zhang, Chuyan
Jiang, Zhongliang
Yang, Jie
Navab, Nassir
Image and Video Processing
Computer Vision and Pattern Recognition
The temporal interpolation task for 4D medical imaging, plays a crucial role in clinical practice of respiratory motion modeling. Following the simplified linear-motion hypothesis, existing approaches adopt optical flow-based models to interpolate intermediate frames. However, realistic respiratory motions should be nonlinear and quasi-periodic with specific frequencies. Intuited by this property, we resolve the temporal interpolation task from the frequency perspective, and propose a Fourier basis-guided Diffusion model, termed FB-Diff. Specifically, due to the regular motion discipline of respiration, physiological motion priors are introduced to describe general characteristics of temporal data distributions. Then a Fourier motion operator is elaborately devised to extract Fourier bases by incorporating physiological motion priors and case-specific spectral information in the feature space of Variational Autoencoder. Well-learned Fourier bases can better simulate respiratory motions with motion patterns of specific frequencies. Conditioned on starting and ending frames, the diffusion model further leverages well-learned Fourier bases via the basis interaction operator, which promotes the temporal interpolation task in a generative manner. Extensive results demonstrate that FB-Diff achieves state-of-the-art (SOTA) perceptual performance with better temporal consistency while maintaining promising reconstruction metrics. Codes are available.
title FB-Diff: Fourier Basis-guided Diffusion for Temporal Interpolation of 4D Medical Imaging
topic Image and Video Processing
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2507.04547