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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

Non-rigid registration is challenging because it is ill-posed with high degrees of freedom and is thus sensitive to noise and outliers. We propose a robust non-rigid registration method using reweighted sparsities on position and…

Computer Vision and Pattern Recognition · Computer Science 2019-06-20 Kun Li , Jingyu Yang , Yu-Kun Lai , Daoliang Guo

In general, the problem of non-rigid registration is about matching two different scans of a dynamic object taken at two different points in time. These scans can undergo both rigid motions and non-rigid deformations. Since new parts of the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Alireza Ahmadi

Robust 3D registration is a fundamental problem in computer vision and robotics, where the goal is to estimate the geometric transformation between two sets of measurements in the presence of noise, mismatches, and extreme outlier…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Xianyun Qian , Fei Wen , Peilin Liu

Non-rigid registration computes an alignment between a source surface with a target surface in a non-rigid manner. In the past decade, with the advances in 3D sensing technologies that can measure time-varying surfaces, non-rigid…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Bailin Deng , Yuxin Yao , Roberto M. Dyke , Juyong Zhang

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

Non-rigid registration is a crucial task with applications in medical imaging, industrial robotics, computer vision, and entertainment. Standard approaches accomplish this task using variations on the Non-Rigid Iterative Closest Point…

Graphics · Computer Science 2025-10-22 Gabrielle Browne , Mengfei Liu , Eitan Grinspun , Otman Benchekroun

This work presents a new recursive robust filtering approach for feature-based 3D registration. Unlike the common state-of-the-art alignment algorithms, the proposed method has four advantages that have not yet occurred altogether in any…

Computer Vision and Pattern Recognition · Computer Science 2021-10-29 Abdenour Amamra , Nabil Aouf , Dowling Stuart , Mark Richardson

Medical image registration is critical for aligning anatomical structures across imaging modalities such as computed tomography (CT), magnetic resonance imaging (MRI), and ultrasound. Among existing techniques, non-rigid registration (NRR)…

Image and Video Processing · Electrical Eng. & Systems 2025-12-17 Sneha Sree C. , Dattesh Shanbhag , Sudhanya Chatterjee

Current approaches for deformable medical image registration often struggle to fulfill all of the following criteria: versatile applicability, small computation or training times, and the being able to estimate large deformations.…

Image and Video Processing · Electrical Eng. & Systems 2021-12-07 Hanna Siebert , Lasse Hansen , Mattias P. Heinrich

We present an unsupervised data-driven approach for non-rigid shape matching. Shape matching identifies correspondences between two shapes and is a fundamental step in many computer vision and graphics applications. Our approach is designed…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Aymen Merrouche , Joao Regateiro , Stefanie Wuhrer , Edmond Boyer

Optimization techniques have been widely used in deformable registration, allowing for the incorporation of similarity metrics with regularization mechanisms. These regularization mechanisms are designed to mitigate the effects of trivial…

Computer Vision and Pattern Recognition · Computer Science 2014-04-10 Martin Rajchl , John S. H. Baxter , Wu Qiu , Ali R. Khan , Aaron Fenster , Terry M. Peters , Jing Yuan

Surface registration, the task of aligning several multidimensional point sets, is a necessary task in many scientific fields. In this work, a novel statistical approach is developed to solve the problem of nonrigid registration. While the…

Methodology · Statistics 2020-06-15 Ashton Wiens , William Kleiber , Douglas Nychka , Katherine R. Barnhart

We describe a convex programming framework for pose estimation in 2D/3D point-set registration with unknown point correspondences. We give two mixed-integer nonlinear program (MINP) formulations of the 2D/3D registration problem when there…

Computer Vision and Pattern Recognition · Computer Science 2016-06-29 Yuehaw Khoo , Ankur Kapoor

The goal of rigid registration is to align a source surface $ X $ to a target surface $ Y $. The alignment process involves iteratively transforming $ X $ closer and closer to $ Y $, such that $ X=Z^0 \rightarrow Z^1 \rightarrow Z^2…

Optimization and Control · Mathematics 2024-01-08 Dániel Unyi

In regularized risk minimization, the associated optimization problem becomes particularly difficult when both the loss and regularizer are nonsmooth. Existing approaches either have slow or unclear convergence properties, are restricted to…

Machine Learning · Computer Science 2016-10-14 Shuai Zheng , Ruiliang Zhang , James T. Kwok

Learning non-rigid registration in an end-to-end manner is challenging due to the inherent high degrees of freedom and the lack of labeled training data. In this paper, we resolve these two challenges simultaneously. First, we propose to…

Computer Vision and Pattern Recognition · Computer Science 2021-04-14 Wanquan Feng , Juyong Zhang , Hongrui Cai , Haofei Xu , Junhui Hou , Hujun Bao

Surface matching usually provides significant deformations that can lead to structural failure due to the lack of physical policy. In this context, partial surface matching of non-linear deformable bodies is crucial in engineering to govern…

Artificial Intelligence · Computer Science 2023-03-17 Alban Odot , Guillaume Mestdagh , Yannick Privat , Stéphane Cotin

We consider the problem of rigid registration, where we wish to jointly register multiple point sets via rigid transforms. This arises in applications such as sensor network localization, multiview registration, and protein structure…

Optimization and Control · Mathematics 2019-07-19 Aditya V. Singh , Kunal N. Chaudhury

The nonrigid alignment between a pre-operative biomechanical model and an intra-operative observation is a critical step to track the motion of a soft organ in augmented surgery. While many elastic registration procedures introduce…

Optimization and Control · Mathematics 2022-06-23 Guillaume Mestdagh , Stéphane Cotin
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