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Imperfect data (noise, outliers and partial overlap) and high degrees of freedom make non-rigid registration a classical challenging problem in computer vision. Existing methods typically adopt the $\ell_{p}$ type robust estimator to…

Computer Vision and Pattern Recognition · Computer Science 2020-04-10 Yuxin Yao , Bailin Deng , Weiwei Xu , Juyong Zhang

Implicit neural representations (INR) have been recently proposed as deep learning (DL) based solutions for image compression. An image can be compressed by training an INR model with fewer weights than the number of image pixels to map the…

Image and Video Processing · Electrical Eng. & Systems 2022-10-28 Harry Gao , Weijie Gan , Zhixin Sun , Ulugbek S. Kamilov

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

Deformable image registration is a fundamental problem in the field of medical image analysis. During the last years, we have witnessed the advent of deep learning-based image registration methods which achieve state-of-the-art performance,…

Image and Video Processing · Electrical Eng. & Systems 2020-02-03 Lucas Mansilla , Diego H. Milone , Enzo Ferrante

A novel solution is obtained to solve the rigid 3D registration problem, motivated by previous eigen-decomposition approaches. Different from existing solvers, the proposed algorithm does not require sophisticated matrix operations e.g.…

Systems and Control · Computer Science 2018-07-03 Jin Wu , Ming Liu , Zebo Zhou , Rui Li

We present a new inner-outer iterative algorithm for edge enhancement in imaging problems. At each outer iteration, we formulate a Tikhonov-regularized problem where the penalization is expressed in the 2-norm and involves a regularization…

Numerical Analysis · Mathematics 2020-12-30 Silvia Gazzola , Misha E. Kilmer , James G. Nagy , Oguz Semerici , Eric L. Miller

Learning-based deformable image registration (DIR) accelerates alignment by amortizing traditional optimization via neural networks. Label supervision further enhances accuracy, enabling efficient and precise nonlinear alignment of unseen…

Computer Vision and Pattern Recognition · Computer Science 2025-06-13 Hang Zhang , Xiang Chen , Renjiu Hu , Rongguang Wang , Jinwei Zhang , Min Liu , Yaonan Wang , Gaolei Li , Xinxing Cheng , Jinming Duan

Medical image registration is crucial for various clinical and research applications including disease diagnosis or treatment planning which require alignment of images from different modalities, time points, or subjects. Traditional…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Ahsan Raza Siyal , Markus Haltmeier , Ruth Steiger , Malik Galijasevic , Elke Ruth Gizewski , Astrid Ellen Grams

Unsupervised deformable image registration requires aligning complex anatomical structures without reference labels, making interpretability and reliability critical. Existing deep learning methods achieve considerable accuracy but often…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Zafar Iqbal , Anwar Ul Haq , Srimannarayana Grandhi

Image registration is a fundamental task for medical imaging. Resampling of the intensity values is required during registration and better spatial resolution with finer and sharper structures can improve the resampling performance and…

Image and Video Processing · Electrical Eng. & Systems 2022-01-03 Kaicong Sun , Sven Simon

We propose the use of the Kantorovich-Rubinstein norm from optimal transport in imaging problems. In particular, we discuss a variational regularisation model endowed with a Kantorovich-Rubinstein discrepancy term and total variation…

Computer Vision and Pattern Recognition · Computer Science 2020-02-13 Jan Lellmann , Dirk A. Lorenz , Carola Schönlieb , Tuomo Valkonen

Registration of brain MRI images requires to solve a deformation field, which is extremely difficult in aligning intricate brain tissues, e.g., subcortical nuclei, etc. Existing efforts resort to decomposing the target deformation field…

Image and Video Processing · Electrical Eng. & Systems 2022-04-27 Jinxin Lv , Zhiwei Wang , Hongkuan Shi , Haobo Zhang , Sheng Wang , Yilang Wang , Qiang Li

Methods for medical image registration infer geometric transformations that align pairs/groups of images by maximising an image similarity metric. This problem is ill-posed as several solutions may have equivalent likelihoods, also…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Aisha L. Shuaibu , Ivor J. A. Simpson

Image registration is an inherently ill-posed problem that lacks the constraints needed for a unique mapping between voxels of the two images being registered. As such, one must regularize the registration to achieve physically meaningful…

Numerical Analysis · Mathematics 2025-02-03 Keyur D. Shah , James A. Shackleford , Nagarajan Kandasamy , Gregory C. Sharp

Multimodal image registration (MIR) is a fundamental procedure in many image-guided therapies. Recently, unsupervised learning-based methods have demonstrated promising performance over accuracy and efficiency in deformable image…

Computer Vision and Pattern Recognition · Computer Science 2020-11-13 Zhe Xu , Jiangpeng Yan , Jie Luo , Xiu Li , Jayender Jagadeesan

Regularization approaches have demonstrated their effectiveness for solving ill-posed problems. However, in the context of variational restoration methods, a challenging question remains, which is how to find a good regularizer. While total…

Optimization and Control · Mathematics 2011-10-25 Nelly Pustelnik , Caroline Chaux , Jean-Christophe Pesquet

Image registration is the basis for many applications in the fields of medical image computing and computer assisted interventions. One example is the registration of 2D X-ray images with preoperative three-dimensional computed tomography…

Computer Vision and Pattern Recognition · Computer Science 2020-12-16 Darya Trofimova , Tim Adler , Lisa Kausch , Lynton Ardizzone , Klaus Maier-Hein , Ulrich Köthe , Carsten Rother , Lena Maier-Hein

Image Registration (IR) is the process of aligning two (or more) images of the same scene taken at different times, different viewpoints and/or by different sensors. It is an important, crucial step in various image analysis tasks where…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 Sarit Chicotay , Eli David , Nathan S. Netanyahu

Tensor ring (TR) decomposition is a powerful tool for exploiting the low-rank nature of multiway data and has demonstrated great potential in a variety of important applications. In this paper, nonnegative tensor ring (NTR) decomposition…

Computer Vision and Pattern Recognition · Computer Science 2020-10-13 Yuyuan Yu , Guoxu Zhou , Ning Zheng , Shengli Xie , Qibin Zhao

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