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We study the problem of finding the global Riemannian center of mass of a set of data points on a Riemannian manifold. Specifically, we investigate the convergence of constant step-size gradient descent algorithms for solving this problem.…

Differential Geometry · Mathematics 2012-01-05 Bijan Afsari , Roberto Tron , René Vidal

Image editing and compositing have become ubiquitous in entertainment, from digital art to AR and VR experiences. To produce beautiful composites, the camera needs to be geometrically calibrated, which can be tedious and requires a physical…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Yannick Hold-Geoffroy , Dominique Piché-Meunier , Kalyan Sunkavalli , Jean-Charles Bazin , François Rameau , Jean-François Lalonde

Accurate maps are a prerequisite for virtually all mobile robot tasks. Most state-of-the-art maps assume a static world; therefore, dynamic objects are filtered out of the measurements. However, this division ignores movable but non-moving…

Robotics · Computer Science 2025-01-09 Matti Pekkanen , Francesco Verdoja , Ville Kyrki

We present a solution to the problem of spatio-temporal calibration for event cameras mounted on an onmi-directional vehicle. Different from traditional methods that typically determine the camera's pose with respect to the vehicle's body…

Robotics · Computer Science 2023-07-20 Xiao Li , Yi Zhou , Ruibin Guo , Xin Peng , Zongtan Zhou , Huimin Lu

We introduce Cycle-Sync, a robust and global framework for estimating camera poses (both rotations and locations). Our core innovation is a location solver that adapts message-passing least squares (MPLS) -- originally developed for group…

Computer Vision and Pattern Recognition · Computer Science 2025-11-05 Shaohan Li , Yunpeng Shi , Gilad Lerman

Can freely moving humans or animals themselves serve as calibration targets for multi-camera systems while simultaneously estimating their correspondences across views? We humans can solve this problem by mentally rotating the observed 2D…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Sang-Eun Lee , Ko Nishino , Shohei Nobuhara

A large number of cameras embedded on smart-phones, drones or inside cars have a direct access to external motion sensing from gyroscopes and accelerometers. On these power-limited devices, video compression must be of low-complexity. For…

Image and Video Processing · Electrical Eng. & Systems 2020-02-03 Karim El Khoury , Pascal Pellegrin , Antonin Descampe , Sébastien Lugan , Benoit Macq

Dynamic inverse problems are challenging to solve due to the need to identify and incorporate appropriate regularization in both space and time. Moreover, the very large scale nature of such problems in practice presents an enormous…

Numerical Analysis · Mathematics 2025-01-23 Toluwani Okunola , Mirjeta Pasha , Misha Kilmer , Melina Freitag

The process of camera calibration involves estimating the intrinsic and extrinsic parameters, which are essential for accurately performing tasks such as 3D reconstruction, object tracking and augmented reality. In this work, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2024-02-21 Muhammad Waleed , Abdul Rauf , Murtaza Taj

This is Part II of a two-part work on the estimation for a multi-layer generalized linear model (ML-GLM) in large system limits. In Part I, we had analyzed the asymptotic performance of an exact MMSE estimator, and obtained a set of coupled…

Information Theory · Computer Science 2020-07-21 Qiuyun Zou , Haochuan Zhang , Hongwen Yang

Accurate and robust pose estimation plays a crucial role in many robotic systems. Popular algorithms for pose estimation typically rely on high-fidelity and high-frequency signals from various sensors. Inclusion of these sensors makes the…

Computer Vision and Pattern Recognition · Computer Science 2023-11-17 Stepan Konev , Yuriy Biktairov

Contemporary approaches frame the color constancy problem as learning camera specific illuminant mappings. While high accuracy can be achieved on camera specific data, these models depend on camera spectral sensitivity and typically exhibit…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Daniel Hernandez-Juarez , Sarah Parisot , Benjamin Busam , Ales Leonardis , Gregory Slabaugh , Steven McDonagh

Slow motion videos are becoming increasingly popular, but capturing high-resolution videos at extremely high frame rates requires professional high-speed cameras. To mitigate this problem, current techniques increase the frame rate of…

Computer Vision and Pattern Recognition · Computer Science 2020-04-22 Avinash Paliwal , Nima Khademi Kalantari

Doubly robust estimators are widely used for estimating average treatment effects and other linear summaries of regression functions. While consistency requires only one of two nuisance functions to be estimated consistently, asymptotic…

Methodology · Statistics 2025-07-01 Lars van der Laan , Alex Luedtke , Marco Carone

We consider the problem of parameter estimation for a system of ordinary differential equations from noisy observations on a solution of the system. In case the system is nonlinear, as it typically is in practical applications, an analytic…

Statistics Theory · Mathematics 2012-07-27 Shota Gugushvili , Chris A. J. Klaassen

Pel-recursive motion estimation isa well-established approach. However, in the presence of noise, it becomes an ill-posed problem that requires regularization. In this paper, motion vectors are estimated in an iterative fashion by means of…

Computer Vision and Pattern Recognition · Computer Science 2014-03-31 Vania Vieira Estrela , Marcos Henrique da Silva Bassani

Autonomous machines must self-maintain proper functionality to ensure the safety of humans and themselves. This pertains particularly to its cameras as predominant sensors to perceive the environment and support actions. A fundamental…

Computer Vision and Pattern Recognition · Computer Science 2024-04-05 Maik Wischow , Patrick Irmisch , Anko Boerner , Guillermo Gallego

We study nonparametric change-point estimation from indirect noisy observations. Focusing on the white noise convolution model, we consider two classes of functions that are smooth apart from the change-point. We establish lower bounds on…

Statistics Theory · Mathematics 2007-06-13 A. Goldenshluger , A. Tsybakov , A. Zeevi

This work provides a theoretical analysis for optimally solving the pose estimation problem using total least squares for vector observations from landmark features, which is central to applications involving simultaneous localization and…

Robotics · Computer Science 2022-10-24 Saeed Maleki , Adhiti Raman , Yang Cheng , John Crassidis , Matthias Schmid

In this paper, we present a novel linear algorithm to estimate the 6 DoF relative pose from consecutive frames of stereo rolling shutter (RS) cameras. Our method is derived based on the assumption that stereo cameras undergo motion with…

Computer Vision and Pattern Recognition · Computer Science 2020-06-16 Ke Wang , Bin Fan , Yuchao Dai
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