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We consider the problem of computing the nearest matrix polynomial with a non-trivial Smith Normal Form. We show that computing the Smith form of a matrix polynomial is amenable to numeric computation as an optimization problem.…

Symbolic Computation · Computer Science 2019-09-10 Mark Giesbrecht , Joseph Haraldson , George Labahn

We study randomized sketching methods for approximately solving least-squares problem with a general convex constraint. The quality of a least-squares approximation can be assessed in different ways: either in terms of the value of the…

Optimization and Control · Mathematics 2014-11-04 Mert Pilanci , Martin J. Wainwright

Shape-constrained convex regression problem deals with fitting a convex function to the observed data, where additional constraints are imposed, such as component-wise monotonicity and uniform Lipschitz continuity. This paper provides a…

Optimization and Control · Mathematics 2020-02-27 Meixia Lin , Defeng Sun , Kim-Chuan Toh

Estimating the relative pose between two cameras is a fundamental step in many applications such as Structure-from-Motion. The common approach to relative pose estimation is to apply a minimal solver inside a RANSAC loop. Highly efficient…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Charalambos Tzamos , Viktor Kocur , Yaqing Ding , Torsten Sattler , Zuzana Kukelova

We propose several new nonsmooth Newton methods for solving convex composite optimization problems with polyhedral regularizers, while avoiding the computation of complicated second-order information on these functions. Under the…

Optimization and Control · Mathematics 2025-11-25 Tran T. A. Nghia , Nghia V. Vo , Khoa V. H. Vu

This paper presents several new algorithms for the regularized reconstruction of a surface from its measured gradient field. By taking a matrix-algebraic approach, we establish general framework for the regularized reconstruction problem…

Numerical Analysis · Mathematics 2013-08-21 Matthew Harker , Paul O'Leary

Category-level pose estimation is a challenging task with many potential applications in computer vision and robotics. Recently, deep-learning-based approaches have made great progress, but are typically hindered by the need for large…

Computer Vision and Pattern Recognition · Computer Science 2023-11-27 Pengyuan Wang , Takuya Ikeda , Robert Lee , Koichi Nishiwaki

The goal of the proposed method is to directly obtain a pose matrix of a known rectangular target, without estimation, using geometric techniques. This method is specifically tailored for real-time, extreme imaging setups exceeding…

Computer Vision and Pattern Recognition · Computer Science 2023-05-16 Jakub Maksymilian Fober

In this paper, we address the problem of estimating a 3D human pose from a single image, which is important but difficult to solve due to many reasons, such as self-occlusions, wild appearance changes, and inherent ambiguities of 3D…

Computer Vision and Pattern Recognition · Computer Science 2019-10-08 Geonho Cha , Minsik Lee , Jungchan Cho , Songhwai Oh

6D object pose estimation is an important task that determines the 3D position and 3D rotation of an object in camera-centred coordinates. By utilizing such a task, one can propose promising solutions for various problems related to scene…

Computer Vision and Pattern Recognition · Computer Science 2019-03-20 Caner Sahin , Guillermo Garcia-Hernando , Juil Sock , Tae-Kyun Kim

The proposed system outlined in this paper is a solution to a use case that requires the autonomous picking of cuboidal objects from an organized or unorganized pile with high precision. This paper presents an efficient method for precise…

Computer Vision and Pattern Recognition · Computer Science 2025-05-09 Utsav Rai , Hardik Mehta , Vismay Vakharia , Aditya Choudhary , Amit Parmar , Rolif Lima , Kaushik Das

Deep learning models have achieved significant success in various image related tasks. However, they often encounter challenges related to computational complexity and overfitting. In this paper, we propose an efficient approach that…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Salim Khazem , Jeremy Fix , Cédric Pradalier

In the context of future manufacturing lines, removing fixtures will be a fundamental step to increase the flexibility of autonomous systems in assembly and logistic operations. Vision-based 3D pose estimation is a necessity to accurately…

Robotics · Computer Science 2020-10-05 Bjarne Grossmann , Francesco Rovida , Volker Krueger

6-DoF object pose estimation from a monocular image is challenging, and a post-refinement procedure is generally needed for high-precision estimation. In this paper, we propose a framework based on a recurrent neural network (RNN) for…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Yan Xu , Kwan-Yee Lin , Guofeng Zhang , Xiaogang Wang , Hongsheng Li

We present a method named iComMa to address the 6D camera pose estimation problem in computer vision. Conventional pose estimation methods typically rely on the target's CAD model or necessitate specific network training tailored to…

Computer Vision and Pattern Recognition · Computer Science 2024-03-21 Yuan Sun , Xuan Wang , Yunfan Zhang , Jie Zhang , Caigui Jiang , Yu Guo , Fei Wang

Relative pose estimation using point correspondences (PC) is a widely used technique. A minimal configuration of six PCs is required for two views of generalized cameras. In this paper, we present several minimal solvers that use six PCs to…

Computer Vision and Pattern Recognition · Computer Science 2024-11-14 Banglei Guan , Ji Zhao , Laurent Kneip

We present a lightweight solution to recover 3D pose from multi-view images captured with spatially calibrated cameras. Building upon recent advances in interpretable representation learning, we exploit 3D geometry to fuse input images into…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Edoardo Remelli , Shangchen Han , Sina Honari , Pascal Fua , Robert Wang

Transformer-based methods have recently achieved significant success in 3D human pose estimation, owing to their strong ability to model long-range dependencies. However, relying solely on the global attention mechanism is insufficient for…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Guangsheng Xu , Guoyi Zhang , Lejia Ye , Shuwei Gan , Xiaohu Zhang , Xia Yang

We consider the problem of category-level 6D pose estimation from a single RGB image. Our approach represents an object category as a cuboid mesh and learns a generative model of the neural feature activations at each mesh vertex to perform…

Computer Vision and Pattern Recognition · Computer Science 2022-09-14 Wufei Ma , Angtian Wang , Alan Yuille , Adam Kortylewski

Conventional 3D human pose estimation relies on first detecting 2D body keypoints and then solving the 2D to 3D correspondence problem.Despite the promising results, this learning paradigm is highly dependent on the quality of the 2D…

Computer Vision and Pattern Recognition · Computer Science 2021-12-22 Jue Wang , Shaoli Huang , Xinchao Wang , Dacheng Tao
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