Dual-Scale Volume Priors with Wasserstein-Based Consistency for Semi-Supervised Medical Image Segmentation

📅 2025-09-04
📈 Citations: 0
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🤖 AI Summary
In semi-supervised medical image segmentation, feature learning suffers from insufficient guidance and underutilization of prior knowledge. Method: This paper proposes a framework integrating explicit and implicit dual-scale volumetric priors. Specifically: (1) it establishes image-level and dataset-level volumetric priors—estimating target region volume via regression and modeling population-level volume distribution, respectively; (2) it enforces cross-scale feature distribution alignment using a Wasserstein-distance-based consistency constraint; and (3) it incorporates spatial regularization derived from variational inference (Threshold Dynamics) to enhance structural coherence. Results: Experiments on ACDC, PROMISE12, and thigh muscle MR datasets demonstrate substantial improvements in segmentation accuracy and robustness under semi-supervised settings, particularly at extremely low labeling ratios (e.g., 1–5 labeled samples per dataset).

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📝 Abstract
Despite signi cant progress in semi-supervised medical image segmentation, most existing segmentation networks overlook e ective methodological guidance for feature extraction and important prior information from datasets. In this paper, we develop a semi-supervised medical image segmentation framework that e ectively integrates spatial regularization methods and volume priors. Speci cally, our approach integrates a strong explicit volume prior at the image scale and Threshold Dynamics spatial regularization, both derived from variational models, into the backbone segmentation network. The target region volumes for each unlabeled image are estimated by a regression network, which e ectively regularizes the backbone segmentation network through an image-scale Wasserstein distance constraint, ensuring that the class ratios in the segmentation results for each unlabeled image match those predicted by the regression network. Additionally, we design a dataset-scale Wasserstein distance loss function based on a weak implicit volume prior, which enforces that the volume distribution predicted for the unlabeled dataset is similar to that of labeled dataset. Experimental results on the 2017 ACDC dataset, PROMISE12 dataset, and thigh muscle MR image dataset show the superiority of the proposed method.
Problem

Research questions and friction points this paper is trying to address.

Integrating spatial regularization and volume priors for semi-supervised segmentation
Estimating target region volumes through regression network constraints
Enforcing volume distribution consistency between labeled and unlabeled datasets
Innovation

Methods, ideas, or system contributions that make the work stand out.

Dual-scale volume priors integration
Wasserstein distance constraints application
Spatial regularization with variational models
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J
Junying Meng
Complex Systems Research Center, Shanxi University, Taiyuan Shanxi, 030006, China; Shanxi Key Laboratory for Mathematical Technology in Complex Systems, Shanxi University, Taiyuan Shanxi, 030006, China; Key Laboratory of Complex Systems and Data Science of Ministry of Education, Shanxi University, Taiyuan Shanxi, 030006, China
G
Gangxuan Zhou
Laboratory of Mathematics and Complex Systems (Ministry of Education of China), School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China
J
Jun Liu
Laboratory of Mathematics and Complex Systems (Ministry of Education of China), School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China
Weihong Guo
Weihong Guo
Professor of Applied Mathematics, Case Western Reserve University
Image processingComputer VisionInverse ProblemsDeep Learning