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Differential equations are widely used to describe complex dynamical systems with evolving parameters in nature and engineering. Effectively learning a family of maps from the parameter function to the system dynamics is of great…

Machine Learning · Computer Science 2025-03-12 Xin Li , Chengli Zhao , Xue Zhang , Xiaojun Duan

Deep Implicit Functions (DIFs) represent 3D geometry with continuous signed distance functions learned through deep neural nets. Recently DIFs-based methods have been proposed to handle shape reconstruction and dense point correspondences…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Shanlin Sun , Kun Han , Deying Kong , Hao Tang , Xiangyi Yan , Xiaohui Xie

In this paper, we propose a novel learning-based framework for 3D shape registration, which overcomes the challenges of significant non-rigid deformation and partiality undergoing among input shapes, and, remarkably, requires no…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Zhangquan Chen , Puhua Jiang , Mingze Sun , Ruqi Huang

Deformable image registration is fundamental for many medical image analyses. A key obstacle for accurate image registration lies in image appearance variations such as the variations in texture, intensities, and noise. These variations are…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Mingyuan Meng , Lei Bi , Michael Fulham , David Dagan Feng , Jinman Kim

Modeling complex systems using standard neural ordinary differential equations (NODEs) often faces some essential challenges, including high computational costs and susceptibility to local optima. To address these challenges, we propose a…

Machine Learning · Computer Science 2024-05-24 Xin Li , Jingdong Zhang , Qunxi Zhu , Chengli Zhao , Xue Zhang , Xiaojun Duan , Wei Lin

Joint image registration and segmentation has long been an active area of research in medical imaging. Here, we reformulate this problem in a deep learning setting using adversarial learning. We consider the case in which fixed and moving…

Image and Video Processing · Electrical Eng. & Systems 2019-07-01 Mohamed S. Elmahdy , Jelmer M. Wolterink , Hessam Sokooti , Ivana Išgum , Marius Staring

We propose a deformable registration algorithm based on unsupervised learning of a low-dimensional probabilistic parameterization of deformations. We model registration in a probabilistic and generative fashion, by applying a conditional…

Computer Vision and Pattern Recognition · Computer Science 2018-07-23 Julian Krebs , Tommaso Mansi , Boris Mailhé , Nicholas Ayache , Hervé Delingette

Medical image registration is one of the key processing steps for biomedical image analysis such as cancer diagnosis. Recently, deep learning based supervised and unsupervised image registration methods have been extensively studied due to…

Computer Vision and Pattern Recognition · Computer Science 2019-07-03 Boah Kim , Jieun Kim , June-Goo Lee , Dong Hwan Kim , Seong Ho Park , Jong Chul Ye

Intra-fraction motion in radiotherapy is commonly modeled using deformable image registration (DIR). However, existing methods often struggle to balance speed and accuracy, limiting their applicability in clinical scenarios. This study…

Medical Physics · Physics 2024-02-09 Xia Li , Fabian Zhang , Muheng Li , Damien Weber , Antony Lomax , Joachim Buhmann , Ye Zhang

One of the fundamental challenges in supervised learning for multimodal image registration is the lack of ground-truth for voxel-level spatial correspondence. This work describes a method to infer voxel-level transformation from…

Deformable image registration (DIR) is a crucial tool in radiotherapy for analyzing anatomical changes and motion patterns. Current DIR implementations rely on discrete volumetric motion representation, which often leads to compromised…

Medical Physics · Physics 2025-07-22 Xia Li , Runzhao Yang , Muheng Li , Xiangtai Li , Antony J. Lomax , Joachim M. Buhmann , Ye Zhang

We present a method to predict image deformations based on patch-wise image appearance. Specifically, we design a patch-based deep encoder-decoder network which learns the pixel/voxel-wise mapping between image appearance and registration…

Computer Vision and Pattern Recognition · Computer Science 2016-07-11 Xiao Yang , Roland Kwitt , Marc Niethammer

Deformable image registration (DIR) is a crucial and challenging technique for aligning anatomical structures in medical images and is widely applied in diverse clinical applications. However, existing approaches often struggle to capture…

Image and Video Processing · Electrical Eng. & Systems 2025-08-26 Shayan Kebriti , Shahabedin Nabavi , Ali Gooya

Deformable image registration (DIR) remains a fundamental yet challenging problem in medical image analysis, largely due to the prohibitively high-dimensional deformation space of dense displacement fields and the scarcity of voxel-level…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Runxun Zhang , Yizhou Liu , Li Dongrui , Bo XU , Jingwei Wei

Image registration (IR) is a process that deforms images to align them with respect to a reference space, making it easier for medical practitioners to examine various medical images in a standardized reference frame, such as having the…

Image and Video Processing · Electrical Eng. & Systems 2024-01-11 Ahmad Hammoudeh , Stéphane Dupont

In the past, optimization-based registration models have used spatially-varying regularization to account for deformation variations in different image regions. However, deep learning-based registration models have mostly relied on…

Image and Video Processing · Electrical Eng. & Systems 2023-03-14 Junyu Chen , Yihao Liu , Yufan He , Yong Du

We propose a novel approach for image segmentation that combines Neural Ordinary Differential Equations (NODEs) and the Level Set method. Our approach parametrizes the evolution of an initial contour with a NODE that implicitly learns from…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Rafael Valle , Fitsum Reda , Mohammad Shoeybi , Patrick Legresley , Andrew Tao , Bryan Catanzaro

Purpose: To develop a neural ordinary differential equation (ODE) model for visualizing deep neural network (DNN) behavior during multi-parametric MRI (mp-MRI) based glioma segmentation as a method to enhance deep learning explainability.…

Quantitative Methods · Quantitative Biology 2022-03-25 Zhenyu Yang , Zongsheng Hu , Hangjie Ji , Kyle Lafata , Scott Floyd , Fang-Fang Yin , Chunhao Wang

Registration is an essential tool in image analysis. Deep learning based alternatives have recently become popular, achieving competitive performance at a faster speed. However, many contemporary techniques are limited to volumetric…

Image and Video Processing · Electrical Eng. & Systems 2021-09-29 Balder Croquet , Daan Christiaens , Seth M. Weinberg , Michael Bronstein , Dirk Vandermeulen , Peter Claes

Diffuse Optical Tomography (DOT) is an emerging technology in medical imaging which employs light in the NIR spectrum to estimate the distribution of optical coefficients in biological tissues for diagnostic and monitoring purposes. DOT…

Numerical Analysis · Mathematics 2022-05-27 Alessandro Benfenati , Giuseppe Bisazza , Paola Causin