While most all-in-one medical image restoration methods focus on handling heterogeneous data distributions and degradation types, they often neglect the anatomical consistencies shared across modalities. The proposed UniH^3 framework addresses this balance by introducing a Hierarchical Homogeneity Memory to extract and inject shared structural priors, coupled with a balancer module to mitigate optimization conflicts across varied tasks. Benchmarked on MedIR-2D-500K and MedIR-3D-3K, the unified model achieves consistent restoration performance across diverse single-task and multi-task scenarios.
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