An Unsupervised Learning Model for Deformable Medical Image Registration
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Abstract (arXiv)
We present a fast learning-based algorithm for deformable, pairwise 3D medical image registration. Current registration methods optimize an objective function independently for each pair of images, which can be time-consuming for large data. We define registration as a parametric function, and optimize its parameters given a set of images from a collection of interest. Given a new pair of scans, we can quickly compute a registration field by directly evaluating the function using the learned parameters. We model this function using a convolutional neural network (CNN), and use a spatial transform layer to reconstruct one image from another while imposing smoothness constraints on the registration field. The proposed method does not require supervised information such as ground truth registration fields or anatomical landmarks. We demonstrate registration accuracy comparable to state-of-the-art 3D image registration, while operating orders of magnitude faster in practice. Our method promises to significantly speed up medical image analysis and processing pipelines, while facilitating novel directions in learning-based registration and its applications. Our code is available at https://github.com/balakg/voxelmorph .
Key facts. Cited by 150 papers in the map (data through 7 Oct 2026). First posted on arXiv 7 Feb 2018.
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Citing papers per year: 2021: 32; 2022: 44; 2023: 28; 2024: 22; 2025: 15; 2026: 9.
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- 2021DiffuseMorph: Unsupervised Deformable Image Registration Using Diffusion Modelcited by 57
- 2024DiffuseReg: Denoising Diffusion Model for Obtaining Deformation Fields in Unsupervised Deformable Image Registrationcited by 6
- 20264DLoG: Generative Modeling of Neurodegenerative Brain Anatomy with 4D Longitudinal Diffusion Modelcited by 1
- 20264DLoG: Generative Modeling of Neurodegenerative Brain Anatomy with 4D Longitudinal Diffusion Model24 Apr 2026
- 2024DiffuseReg: Denoising Diffusion Model for Obtaining Deformation Fields in Unsupervised Deformable Image Registration7 Oct 2024
- 2022Diffusion Models for Medical Image Analysis: A Comprehensive Survey14 Nov 2022
- 2022Diffusion Models in Vision: A Survey10 Sep 2022
- 2021DiffuseMorph: Unsupervised Deformable Image Registration Using Diffusion Model9 Dec 2021
- 2021Recent advances and clinical applications of deep learning in medical image analysiscited by 104
- 2021ViT-V-Net: Vision Transformer for Unsupervised Volumetric Medical Image Registrationcited by 87
- 2022Unsupervised Misaligned Infrared and Visible Image Fusion via Cross-Modality Image Generation and Registrationcited by 80
- 2022Diffusion Deformable Model for 4D Temporal Medical Image Generationcited by 65
- 2021Recurrent Mask Refinement for Few-Shot Medical Image Segmentationcited by 63
- 2021Conditional Deformable Image Registration with Convolutional Neural Networkcited by 59
- 2023A Task-guided, Implicitly-searched and Meta-initialized Deep Model for Image Fusioncited by 47
- 2022XMorpher: Full Transformer for Deformable Medical Image Registration via Cross Attentioncited by 46
- 2022U-Net vs Transformer: Is U-Net Outdated in Medical Image Registration?cited by 40
- 2022Affine Medical Image Registration with Coarse-to-Fine Vision Transformercited by 35
- 2021NODEO: A Neural Ordinary Differential Equation Based Optimization Framework for Deformable Image Registrationcited by 28
- 2021Meta-Learning to Improve Pre-Trainingcited by 27
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- 2026Two-Parameter Flow Map Learning for Continuous-Time Diffeomorphic Image Registration9 Sep 2026
- 2026Architectural and Regularization Components in Deep Learning Medical Image Registration: Systematic Ablation Study23 Aug 2026
- 2026Generative Brownian Bridge Diffusion In Motion Space For Enhanced Myocardial Strain Analysis3 Aug 2026
- 2026DrivenMorph: Bridging Attention Mechanism and Variational Image Registration via Difference Modeling29 Jun 2026
- 2026Active Diffusion Matching: Score-based Iterative Alignment of Cross-Modal Retinal Images11 Apr 2026
- 2026Unsupervised MR-US Multimodal Image Registration with Multilevel Correlation Pyramidal Optimization6 Feb 2026
- 2026FMIR, a foundation model-based Image Registration Framework for Robust Image Registration24 Jan 2026
- 2025Robust Rigid and Non-Rigid Medical Image Registration Using Learnable Edge Kernels1 Dec 2025
- 2025AtlasMorph: Learning conditional deformable templates for brain MRI17 Nov 2025
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