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Papers

Correlation Ratio for Unsupervised Learning of Multi-modal Deformable Registration

2025-04-16 · Xiaojian Chen, Yihao Liu, Shuwen Wei, Aaron Carass, Yong Du, Junyu Chen

In recent years, unsupervised learning for deformable image registration has been a major research focus. This approach involves training a registration network using pairs of moving and fixed images, along with a loss function that combines an image similarity measure and deformation regularization. For multi-modal image registration tasks, the correlation ratio has been a widely-used image similarity measure historically, yet it has been underexplored in current deep learning methods. Here, we propose a differentiable correlation ratio to use as a loss function for learning-based multi-modal deformable image registration. This approach extends the traditionally non-differentiable implementation of the correlation ratio by using the Parzen windowing approximation, enabling backpropagation with deep neural networks. We validated the proposed correlation ratio on a multi-modal neuroimaging dataset. In addition, we established a Bayesian training framework to study how the trade-off between the deformation regularizer and similarity measures, including mutual information and our proposed correlation ratio, affects the registration performance.

📄 PDF Abstract BibTeX arXiv:2504.12265

Code (1)

junyuchen245/correlation_ratio 공식 구현 pytorch

Tasks

Image Registration

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