arXiv:2608.24027cs.CV2026-08中稿 · ed

用相位对齐的傅里叶变形,让稀疏医学影像动态插值更准确。

Phase-Aligned Finite-Fourier Periodic Deformation for 4D Medical Image Interpolation

论文配图:Phase-Aligned Finite-Fourier Periodic Deformation for 4D Medical Image Interpolation
图 1 · 摘自论文原文
  • 用有限傅里叶基建模相位结构化的速度场,嵌入周期性运动先验
  • 在ACDC和4D-Lung数据集上优于现有方法,生成解剖合理中间帧
  • 适合心脏、肺部等具有近周期运动的动态医学影像分析

4D医学图像插值旨在从稀疏时间点恢复缺失体积,对心脏MRI和胸腔CT等动态解剖分析至关重要。由于生理运动常呈周期性但非均匀,等时距不等于等形变。为此,本文将插值建模为学习连续变形过程,引入相位结构先验:以有限傅里叶基参数化条件速度场,直接嵌入近周期运动模式,并支持任意时间点连续查询。进一步提出相位对齐的时间重参数化,根据形变强度将归一化时间映射至潜在运动相位,更好建模非均匀运动。通过连续变形两端体素并双向融合与轻量残差优化,合成中间体积。在ACDC与4D-Lung数据集上的实验表明,该方法优于现有基线,生成解剖合理且连贯的中间帧。

原文摘要 · Abstract (English)

4D medical image interpolation aims to recover missing volumes from sparsely observed time points and is important for dynamic anatomical analysis in applications such as cardiac MRI and thoracic CT, where motion is often repetitive or near-periodic over clinically relevant intervals. A key challenge is that this structure is not always encoded directly in deformation representations for interpolation. In addition, physiological motion is often non-uniform, so equal temporal intervals do not necessarily correspond to equal amounts of anatomical change. To address these issues, we formulate interpolation as learning a continuous deformation process with a phase-structured prior. Given two endpoint volumes, we parameterize a phase-conditioned velocity field with a finite Fourier basis, which embeds near-periodic motion patterns directly into the deformation space and supports continuous querying at arbitrary target times. We further introduce a phase-aligned temporal reparameterization that maps normalized within-interval time to a latent motion phase according to deformation variation intensity, thereby better modeling non-uniform motion progression. Intermediate volumes are then synthesized by continuously warping both endpoints, followed by bidirectional fusion and lightweight residual refinement. Experiments on ACDC and 4D-Lung show that the proposed method achieves state-of-the-art performance over existing baselines while producing anatomically plausible and coherent intermediate volumes from sparse observations.

医学影像动态重建周期运动插值

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