Multi-scale Neural ODEs for 3D Medical Image Registration
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Abstract (arXiv)
Image registration plays an important role in medical image analysis. Conventional optimization based methods provide an accurate estimation due to the iterative process at the cost of expensive computation. Deep learning methods such as learn-to-map are much faster but either iterative or coarse-to-fine approach is required to improve accuracy for handling large motions. In this work, we proposed to learn a registration optimizer via a multi-scale neural ODE model. The inference consists of iterative gradient updates similar to a conventional gradient descent optimizer but in a much faster way, because the neural ODE learns from the training data to adapt the gradient efficiently at each iteration. Furthermore, we proposed to learn a modal-independent similarity metric to address image appearance variations across different image contrasts. We performed evaluations through extensive experiments in the context of multi-contrast 3D MR images from both public and private data sources and demonstrate the superior performance of our proposed methods.
Key facts. Cited by 18 papers in the map (data through 7 Oct 2026). Builds on 17 of its 33 references that are in the map. First posted on arXiv 16 Jun 2021.
Builds on
17 of 33 references.
References · 17
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- 2018Neural Ordinary Differential Equationscited by 3,733
- 2018Multimodal Unsupervised Image-to-Image Translationcited by 795
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- 2018A Deep Learning Framework for Unsupervised Affine and Deformable Image Registrationcited by 160
- 2017Quicksilver: Fast Predictive Image Registration - a Deep Learning Approachcited by 113
- 2019Recursive Cascaded Networks for Unsupervised Medical Image Registrationcited by 105
- 2020Adaptive Checkpoint Adjoint Method for Gradient Estimation in Neural ODEcited by 76
- 2017End-to-End Unsupervised Deformable Image Registration with a Convolutional Neural Networkcited by 75
5 more
- 2020Unsupervised Multi-Modal Image Registration via Geometry Preserving Image-to-Image Translationcited by 66
- 2019Unsupervised Deformable Registration for Multi-Modal Images via Disentangled Representationscited by 52
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Citing papers per year: 2021: 2; 2022: 4; 2023: 3; 2024: 4; 2025: 4; 2026: 1.
18 papers.
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- 2023A survey on deep learning in medical image registration: new technologies, uncertainty, evaluation metrics, and beyondcited by 55
- 2021NODEO: A Neural Ordinary Differential Equation Based Optimization Framework for Deformable Image Registrationcited by 28
- 2022Diffeomorphic Image Registration with Neural Velocity Fieldcited by 20
- 2022Medical Image Registration via Neural Fieldscited by 19
- 2021Embedding Gradient-based Optimization in Image Registration Networkscited by 10
- 2022TO-FLOW: Efficient Continuous Normalizing Flows with Temporal Optimization adjoint with Moving Speedcited by 8
- 2025Physics-Informed Machine Learning in Biomedical Science and Engineeringcited by 4
- 2025Disentangling Progress in Medical Image Registration: Beyond Trend-Driven Architectures towards Domain-Specific Strategiescited by 4
- 2023ORRN: An ODE-based Recursive Registration Network for Deformable Respiratory Motion Estimation with Lung 4DCT Imagescited by 3
- 2024CPT-Interp: Continuous sPatial and Temporal Motion Modeling for 4D Medical Image Interpolationcited by 3
- 2023Echocardiography Segmentation Using Neural ODE-based Diffeomorphic Registration Fieldcited by 2
- 2024Recurrent Inference Machine for Medical Image Registrationcited by 2
6 more
- 2025Modality-Aware Feature Matching in Visual and Vision-Language Applications: A Comprehensive Surveycited by 2
- 2022Collaborative Quantization Embeddings for Intra-Subject Prostate MR Image Registrationcited by 1
- 2024Learning Diffeomorphism for Image Registration with Time-Continuous Networks using Semigroup Regularizationcited by 1
- 2024Continuous sPatial-Temporal Deformable Image Registration (CPT-DIR) for motion modelling in radiotherapy: beyond classic voxel-based methodscited by 0
- 2025Multimodal Diffeomorphic Registration with Neural ODEs and Structural Descriptorscited by 0
- 2026Two-Parameter Flow Map Learning for Continuous-Time Diffeomorphic Image Registrationcited by 0
- 2026Two-Parameter Flow Map Learning for Continuous-Time Diffeomorphic Image Registration9 Sep 2026
- 2025Multimodal Diffeomorphic Registration with Neural ODEs and Structural Descriptors27 Dec 2025
- 2025Disentangling Progress in Medical Image Registration: Beyond Trend-Driven Architectures towards Domain-Specific Strategies1 Dec 2025
- 2025Physics-Informed Machine Learning in Biomedical Science and Engineering6 Oct 2025
- 2025Modality-Aware Feature Matching in Visual and Vision-Language Applications: A Comprehensive Survey30 Jul 2025
- 2024Recurrent Inference Machine for Medical Image Registration19 Jun 2024
- 2024Learning Diffeomorphism for Image Registration with Time-Continuous Networks using Semigroup Regularization29 May 2024
- 2024CPT-Interp: Continuous sPatial and Temporal Motion Modeling for 4D Medical Image Interpolation24 May 2024
- 2024Continuous sPatial-Temporal Deformable Image Registration (CPT-DIR) for motion modelling in radiotherapy: beyond classic voxel-based methods1 May 2024
- 2023A survey on deep learning in medical image registration: new technologies, uncertainty, evaluation metrics, and beyond28 Jul 2023
- 2023Echocardiography Segmentation Using Neural ODE-based Diffeomorphic Registration Field16 Jun 2023
- 2023ORRN: An ODE-based Recursive Registration Network for Deformable Respiratory Motion Estimation with Lung 4DCT Images24 May 2023
6 more
- 2022Collaborative Quantization Embeddings for Intra-Subject Prostate MR Image Registration13 Jul 2022
- 2022Medical Image Registration via Neural Fields7 Jun 2022
- 2022TO-FLOW: Efficient Continuous Normalizing Flows with Temporal Optimization adjoint with Moving Speed19 Mar 2022
- 2022Diffeomorphic Image Registration with Neural Velocity Field25 Feb 2022
- 2021Embedding Gradient-based Optimization in Image Registration Networks7 Dec 2021
- 2021NODEO: A Neural Ordinary Differential Equation Based Optimization Framework for Deformable Image Registration7 Aug 2021
- 2023A survey on deep learning in medical image registration: new technologies, uncertainty, evaluation metrics, and beyondcited by 55
- 2021NODEO: A Neural Ordinary Differential Equation Based Optimization Framework for Deformable Image Registrationcited by 28
- 2022Diffeomorphic Image Registration with Neural Velocity Fieldcited by 20
- 2022Medical Image Registration via Neural Fieldscited by 19
- 2021Embedding Gradient-based Optimization in Image Registration Networkscited by 10
- 2022TO-FLOW: Efficient Continuous Normalizing Flows with Temporal Optimization adjoint with Moving Speedcited by 8
- 2025Physics-Informed Machine Learning in Biomedical Science and Engineeringcited by 4
- 2025Disentangling Progress in Medical Image Registration: Beyond Trend-Driven Architectures towards Domain-Specific Strategiescited by 4
- 2023ORRN: An ODE-based Recursive Registration Network for Deformable Respiratory Motion Estimation with Lung 4DCT Imagescited by 3
- 2024CPT-Interp: Continuous sPatial and Temporal Motion Modeling for 4D Medical Image Interpolationcited by 3
- 2023Echocardiography Segmentation Using Neural ODE-based Diffeomorphic Registration Fieldcited by 2
- 2024Recurrent Inference Machine for Medical Image Registrationcited by 2
12 most cited of 18 All 18 (JSON)
- 2026Two-Parameter Flow Map Learning for Continuous-Time Diffeomorphic Image Registration9 Sep 2026
- 2025Multimodal Diffeomorphic Registration with Neural ODEs and Structural Descriptors27 Dec 2025
- 2025Disentangling Progress in Medical Image Registration: Beyond Trend-Driven Architectures towards Domain-Specific Strategies1 Dec 2025
- 2025Physics-Informed Machine Learning in Biomedical Science and Engineering6 Oct 2025
- 2025Modality-Aware Feature Matching in Visual and Vision-Language Applications: A Comprehensive Survey30 Jul 2025
- 2024Recurrent Inference Machine for Medical Image Registration19 Jun 2024
- 2024Learning Diffeomorphism for Image Registration with Time-Continuous Networks using Semigroup Regularization29 May 2024
- 2024CPT-Interp: Continuous sPatial and Temporal Motion Modeling for 4D Medical Image Interpolation24 May 2024
- 2024Continuous sPatial-Temporal Deformable Image Registration (CPT-DIR) for motion modelling in radiotherapy: beyond classic voxel-based methods1 May 2024
- 2023A survey on deep learning in medical image registration: new technologies, uncertainty, evaluation metrics, and beyond28 Jul 2023
- 2023Echocardiography Segmentation Using Neural ODE-based Diffeomorphic Registration Field16 Jun 2023
- 2023ORRN: An ODE-based Recursive Registration Network for Deformable Respiratory Motion Estimation with Lung 4DCT Images24 May 2023
12 newest of 18 All 18 (JSON)