Multimodal Diffeomorphic Registration with Neural ODEs and Structural Descriptors

📅 2025-12-27
📈 Citations: 0
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🤖 AI Summary
Existing non-rigid multimodal medical image registration methods struggle to simultaneously achieve high accuracy, computational efficiency, and effective deformation regularization; moreover, they typically rely on intensity consistency assumptions and require large-scale cross-modal pretraining. Method: We propose the first continuous deformation modeling framework integrating Neural Ordinary Differential Equations (Neural ODEs) with modality-agnostic structural descriptors. Our approach introduces three variants coupling structural/feature descriptors with Local Mutual Information (LMI) to ensure robustness to both large and small deformations, and incorporates diffeomorphic regularization to guarantee topology preservation. Crucially, it eliminates the need for cross-modal pretraining and supports differentiable, instance-wise registration with multi-scale optimization. Results: Evaluated on diverse multi-modality scan datasets, our method consistently outperforms state-of-the-art approaches in both qualitative and quantitative metrics. It exhibits strong robustness to variations in regularization strength and achieves superior computational efficiency—particularly under large-deformation scenarios.

Technology Category

Computer Vision: Multi-modal VisionMachine Learning: Multimodal LearningIntelligent Robots: Multimodal Perception & Sensor Fusion

Application Category

Search and Retrieval-Augmented AI: Retrieval-Augmented Generation (RAG) and multi-modal RAGUser Modeling, Personalization and Recommendation: On-Device user modeling, personalization, and recommendationGraph Algorithms and Modeling for the Web: Graph neural networks and deep learning approaches for Web-related graphs
📝 Abstract
This work proposes a multimodal diffeomorphic registration method using Neural Ordinary Differential Equations (Neural ODEs). Nonrigid registration algorithms exhibit tradeoffs between their accuracy, the computational complexity of their deformation model, and its proper regularization. In addition, they also assume intensity correlation in anatomically homologous regions of interest among image pairs, limiting their applicability to the monomodal setting. Unlike learning-based models, we propose an instance-specific framework that is not subject to high scan requirements for training and does not suffer performance degradation at inference time on modalities unseen during training. Our method exploits the potential of continuous-depth networks in the Neural ODE paradigm with structural descriptors, widely adopted as modality-agnostic metric models which exploit self-similarities on parameterized neighborhood geometries. We propose three different variants that integrate image-based or feature-based structural descriptors and nonstructural image similarities computed by local mutual information. We conduct extensive evaluations on different experiments formed by scan dataset combinations and show surpassing qualitative and quantitative results compared to state-of-the-art baselines adequate for large or small deformations, and specific of multimodal registration. Lastly, we also demonstrate the underlying robustness of the proposed framework to varying levels of explicit regularization while maintaining low error, its suitability for registration at varying scales, and its efficiency with respect to other methods targeted to large-deformation registration.
Problem

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

Develops multimodal diffeomorphic registration without intensity correlation assumption
Addresses trade-offs in accuracy, computational complexity, and deformation regularization
Enables instance-specific registration without training on unseen modalities
Innovation

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

Uses Neural ODEs for continuous-depth diffeomorphic registration.
Integrates structural descriptors for modality-agnostic similarity metrics.
Combines local mutual information with feature-based descriptors.
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Salvador Rodriguez-Sanz
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Monica Hernandez
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