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Absolute pose estimation is a fundamental problem in computer vision, and it is a typical parameter estimation problem, meaning that efforts to solve it will always suffer from outlier-contaminated data. Conventionally, for a fixed…

Computer Vision and Pattern Recognition · Computer Science 2019-12-17 Yinlong Liu , Xuechen Li , Manning Wang , Guang Chen , Zhijian Song , Alois Knoll

We propose a new deep learning based approach for camera relocalization. Our approach localizes a given query image by using a convolutional neural network (CNN) for first retrieving similar database images and then predicting the relative…

Computer Vision and Pattern Recognition · Computer Science 2017-08-02 Zakaria Laskar , Iaroslav Melekhov , Surya Kalia , Juho Kannala

We propose three novel solvers for estimating the relative pose of a multi-camera system from affine correspondences (ACs). A new constraint is derived interpreting the relationship of ACs and the generalized camera model. Using the…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Banglei Guan , Ji Zhao , Daniel Barath , Friedrich Fraundorfer

Machine learning and data analysis have been used in many robotics fields, especially for modelling. Data are usually the result of sensor measurements and, as such, they might be subjected to noise and outliers. The presence of outliers…

Robotics · Computer Science 2019-08-26 Francesco Cursi , Guang-Zhong Yang

This paper studies the challenging two-view 3D reconstruction in a rigorous sparse-view configuration, which is suffering from insufficient correspondences in the input image pairs for camera pose estimation. We present a novel Neural…

Computer Vision and Pattern Recognition · Computer Science 2023-09-14 Bin Tan , Nan Xue , Tianfu Wu , Gui-Song Xia

Robust multiple model fitting plays a crucial role in many computer vision applications. Unlike single model fitting problems, the multi-model fitting has additional challenges. The unknown number of models and the inlier noise scale are…

Computer Vision and Pattern Recognition · Computer Science 2020-06-04 Lokender Tiwari , Saket Anand

In this paper, we study problem of estimating a sparse regression vector with correct support in the presence of outlier samples. The inconsistency of lasso-type methods is well known in this scenario. We propose a combinatorial version of…

Machine Learning · Computer Science 2023-06-23 Adarsh Barik , Jean Honorio

The ability to handle outliers is essential for performing the perspective-n-point (PnP) approach in practical applications, but conventional RANSAC+P3P or P4P methods have high time complexities. We propose a fast PnP solution named R1PPnP…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Haoyin Zhou , Tao Zhang , Jagadeesan Jayender

Outlier-robust estimation is a fundamental problem and has been extensively investigated by statisticians and practitioners. The last few years have seen a convergence across research fields towards "algorithmic robust statistics", which…

Machine Learning · Statistics 2022-12-19 Luca Carlone

As the spherical object can be seen everywhere, we should extract the ellipse image accurately and fit it by implicit algebraic curve in order to finish the 3D reconstruction. In this paper, we propose a new ellipse fitting algorithm which…

Computer Vision and Pattern Recognition · Computer Science 2015-03-26 Shenghui Xu

This paper studies statistical aggregation procedures in regression setting. A motivating factor is the existence of many different methods of estimation, leading to possibly competing estimators. We consider here three different types of…

Statistics Theory · Mathematics 2007-06-13 Florentina Bunea , Alexandre Tsybakov , Marten Wegkamp

This paper studies the problem of finding the median of N distinct numbers distributed across networked agents. Each agent updates its estimate for the median from noisy local observations of one of the N numbers and information from…

Optimization and Control · Mathematics 2021-10-12 Shuhua Yu , Yuan Chen , Soummya Kar

Over the past decade, random forest models have become widely used as a robust method for high-dimensional data regression tasks. In part, the popularity of these models arises from the fact that they require little hyperparameter tuning…

Machine Learning · Computer Science 2020-03-18 Shipra Malhotra , John Karanicolas

Rotation estimation plays a fundamental role in many computer vision and robot tasks. However, efficiently estimating rotation in large inputs containing numerous outliers (i.e., mismatches) and noise is a recognized challenge. Many robust…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Taosi Xu , Yinlong Liu , Xianbo Wang , Zhi-Xin Yang

Consider scene understanding problems such as predicting where a person is probably reaching, or inferring the pose of 3D objects from depth images, or inferring the probable street crossings of pedestrians at a busy intersection. This…

Computer Vision and Pattern Recognition · Computer Science 2019-06-03 Javier Felip , Nilesh Ahuja , David Gómez-Gutiérrez , Omesh Tickoo , Vikash Mansinghka

Data assimilation is the process to fuse information from priors, observations of nature, and numerical models, in order to obtain best estimates of the parameters or state of a physical system of interest. Presence of large errors in some…

Numerical Analysis · Mathematics 2015-11-06 Vishwas Rao , Adrian Sandu , Michael Ng , Elias Nino-Ruiz

For effective autonomous navigation,estimation of the pose of the robot is essential at every sampling time. For computing an accurate estimation,odometric error needs to be reduced with the help of data from external sensor. In this work,…

Computer Vision and Pattern Recognition · Computer Science 2012-12-07 Debajyoti Banerji , Ranjit Ray , Jhankar Basu , Indrajit Basak

Motion correction aims to prevent motion artefacts which may be caused by respiration, heartbeat, or head movements for example. In a preliminary step, the measured data is divided in gates corresponding to motion states, and displacement…

Optimization and Control · Mathematics 2024-10-15 Claire Delplancke , Kris Thielemans , Matthias J. Ehrhardt

We consider a recursive algorithm to construct an aggregated estimator from a finite number of base decision rules in the classification problem. The estimator approximately minimizes a convex risk functional under the l1-constraint. It is…

Statistics Theory · Mathematics 2007-06-13 Anatoli Juditsky , Alexander Nazin , Alexandre Tsybakov , Nicolas Vayatis

We explore the connection between outlier-robust high-dimensional statistics and non-convex optimization in the presence of sparsity constraints, with a focus on the fundamental tasks of robust sparse mean estimation and robust sparse PCA.…

Machine Learning · Computer Science 2022-11-15 Yu Cheng , Ilias Diakonikolas , Rong Ge , Shivam Gupta , Daniel M. Kane , Mahdi Soltanolkotabi