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In the present paper we propose two new algorithms of tensor completion for three-order tensors. The proposed methods consist in minimizing the average rank of the underlying tensor using its approximate function namely the tensor nuclear…

Numerical Analysis · Mathematics 2021-02-23 A. H. Bentbib , A. El Hachimi , K. Jbilou , A. Ratnani

In this paper, a method for Automatic Image Registration (AIR) through histogram is proposed. Automatic image registration is one of the crucial steps in the analysis of remotely sensed data. A new acquired image must be transformed, using…

Computer Vision and Pattern Recognition · Computer Science 2014-02-25 V. Karthikeyan

We present an adaptive regularization scheme for optimizing composite energy functionals arising in image analysis problems. The scheme automatically trades off data fidelity and regularization depending on the current data fit during the…

Computer Vision and Pattern Recognition · Computer Science 2017-05-10 Byung-Woo Hong , Ja-Keoung Koo , Martin Burger , Stefano Soatto

In this paper, we consider optimal low-rank regularized inverse matrix approximations and their applications to inverse problems. We give an explicit solution to a generalized rank-constrained regularized inverse approximation problem,…

Numerical Analysis · Mathematics 2016-03-21 Julianne Chung , Matthias Chung

Variational methods in imaging are nowadays developing towards a quite universal and flexible tool, allowing for highly successful approaches on tasks like denoising, deblurring, inpainting, segmentation, super-resolution, disparity, and…

Optimization and Control · Mathematics 2014-12-16 Martin Burger , Alex Sawatzky , Gabriele Steidl

Equivariant and invariant deep learning models have been developed to exploit intrinsic symmetries in data, demonstrating significant effectiveness in certain scenarios. However, these methods often suffer from limited representation…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Yulu Bai , Jiahong Fu , Qi Xie , Deyu Meng

All imaging modalities such as computed tomography (CT), emission tomography and magnetic resonance imaging (MRI) require a reconstruction approach to produce an image. A common image processing task for applications that utilise those…

Regularization is essential in deformable image registration (DIR) to ensure that the estimated Deformation Vector Field (DVF) remains smooth, physically plausible, and anatomically consistent. However, fine-tuning regularization parameters…

Computer Vision and Pattern Recognition · Computer Science 2025-07-18 Sidaty El Hadramy , Oumeymah Cherkaoui , Philippe C. Cattin

Multi-modal image registration is a challenging problem that is also an important clinical task for many real applications and scenarios. As a first step in analysis, deformable registration among different image modalities is often…

Image and Video Processing · Electrical Eng. & Systems 2020-07-21 Fengze Liu , Jinzheng Cai , Yuankai Huo , Chi-Tung Cheng , Ashwin Raju , Dakai Jin , Jing Xiao , Alan Yuille , Le Lu , ChienHung Liao , Adam P Harrison

With recent advances in computing hardware and surges of deep-learning architectures, learning-based deep image registration methods have surpassed their traditional counterparts, in terms of metric performance and inference time. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-13 Bin Duan , Ming Zhong , Yan Yan

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

Point cloud registration is the process of aligning a pair of point sets via searching for a geometric transformation. Unlike classical optimization-based methods, recent learning-based methods leverage the power of deep learning for…

Computer Vision and Pattern Recognition · Computer Science 2020-10-02 Lingjing Wang , Xiang Li , Yi Fang

Image registration aims to establish spatial correspondence across pairs, or groups of images, and is a cornerstone of medical image computing and computer-assisted-interventions. Currently, most deep learning-based registration methods…

Image and Video Processing · Electrical Eng. & Systems 2021-07-12 Xiang Chen , Nishant Ravikumar , Yan Xia , Alejandro F Frangi

Deep neural networks are increasingly used for pair-wise image registration. We propose to extend current learning-based image registration to allow simultaneous registration of multiple images. To achieve this, we build upon the pair-wise…

Image and Video Processing · Electrical Eng. & Systems 2020-10-02 Tycho F. A. van der Ouderaa , Ivana Išgum , Wouter B. Veldhuis , Bob D. de Vos

Optical diffraction tomography measures the three-dimensional refractive index map of a specimen and visualizes biochemical phenomena at the nanoscale in a non-destructive manner. One major drawback of optical diffraction tomography is poor…

Image and Video Processing · Electrical Eng. & Systems 2020-09-30 DongHun Ryu , Dongmin Ryu , YoonSeok Baek , Hyungjoo Cho , Geon Kim , Young Seo Kim , Yongki Lee , Yoosik Kim , Jong Chul Ye , Hyun-Seok Min , YongKeun Park

In brain tumor diagnosis and surgical planning, segmentation of tumor regions and accurate analysis of surrounding normal tissues are necessary for physicians. Pathological variability often renders difficulty to register a well-labeled…

Image and Video Processing · Electrical Eng. & Systems 2020-07-13 Zhongqiang Liu

This paper considers the problem of reconstructing an object with high-resolution using several low-resolution images, which are degraded due to nonuniform defocus effects caused by angular misalignment of the subpixel motions. The new…

Optimization and Control · Mathematics 2021-07-30 Hieu Thao Nguyen , Oleg Soloviev , Jacques Noom , Michel Verhaegen

Recently, deep-learning-based approaches have been widely studied for deformable image registration task. However, most efforts directly map the composite image representation to spatial transformation through the convolutional neural…

Image and Video Processing · Electrical Eng. & Systems 2022-07-08 Jiashun Chen , Donghuan Lu , Yu Zhang , Dong Wei , Munan Ning , Xinyu Shi , Zhe Xu , Yefeng Zheng

This paper introduces an abstract framework for randomized subspace correction methods for convex optimization, which unifies and generalizes a broad class of existing algorithms, including domain decomposition, multigrid, and block…

Optimization and Control · Mathematics 2026-04-28 Boou Jiang , Jongho Park , Jinchao Xu

Tensor completion is a technique of filling missing elements of the incomplete data tensors. It being actively studied based on the convex optimization scheme such as nuclear-norm minimization. When given data tensors include some noises,…

Computer Vision and Pattern Recognition · Computer Science 2018-01-11 Tatsuya Yokota , Hidekata Hontani
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