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Image restoration is typically addressed through non-convex inverse problems, which are often solved using first-order block-wise splitting methods. In this paper, we consider a general type of non-convex optimisation model that captures…

Robust and accurate camera calibration is essential for 3D reconstruction in light microscopy under circular motion. Conventional methods require either accurate key point matching or precise segmentation of the axial-view images. Both…

Computer Vision and Pattern Recognition · Computer Science 2019-10-31 Yuanhao Guo , Fons J. Verbeek , Ge Yang

Dense human pose estimation is the problem of learning dense correspondences between RGB images and the surfaces of human bodies, which finds various applications, such as human body reconstruction, human pose transfer, and human action…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Liqian Ma , Lingjie Liu , Christian Theobalt , Luc Van Gool

Ill-posed inverse problems of the form y = X p where y is J-dimensional vector of a data, p is m-dimensional probability vector which cannot be measured directly and matrix X of observable variables is a known J,m matrix, J < m, are…

Mathematical Physics · Physics 2012-08-27 M. Grendar, , M. Grendar

In this paper, we develop a parameterized proximal point algorithm (P-PPA) for solving a class of separable convex programming problems subject to linear and convex constraints. The proposed algorithm is provable to be globally convergent…

Optimization and Control · Mathematics 2018-12-11 Jianchao Bai , Hongchao Zhang , Jicheng Li

Event cameras respond primarily to edges--formed by strong gradients--and are thus particularly well-suited for line-based motion estimation. Recent work has shown that events generated by a single line each satisfy a polynomial constraint…

Computer Vision and Pattern Recognition · Computer Science 2024-09-20 Ling Gao , Daniel Gehrig , Hang Su , Davide Scaramuzza , Laurent Kneip

Triangulation of a three-dimensional point from at least two noisy 2-D images can be formulated as a quadratically constrained quadratic program. We propose an algorithm to extract candidate solutions to this problem from its semidefinite…

Optimization and Control · Mathematics 2012-08-09 Chris Aholt , Sameer Agarwal , Rekha Thomas

We study the problem of planning paths for a team of robots for visually monitoring an environment. Our work is motivated by surveillance and persistent monitoring applications. We are given a set of target points in a polygonal environment…

Robotics · Computer Science 2016-12-13 Pratap Tokekar , Ashish Kumar Budhiraja , Vijay Kumar

In this paper, we develop an interior-point method for solving a class of convex optimization problems with time-varying objective and constraint functions. Using log-barrier penalty functions, we propose a continuous-time dynamical system…

Optimization and Control · Mathematics 2016-08-29 Mahyar Fazlyab , Santiago Paternain , Victor M. Preciado , Alejandro Ribeiro

Currently, there are no learning-free or neural techniques for real-time recalibration of infrared multi-camera systems. In this paper, we address the challenge of real-time, highly-accurate calibration of multi-camera infrared systems, a…

Computer Vision and Pattern Recognition · Computer Science 2024-10-21 Benyamin Mehmandar , Reza Talakoob , Charalambos Poullis

This paper examines the question of finding feasible points to discrete-time optimal control problems. The optimization problem of finding a feasible trajectory is transcribed to an unconstrained optimal control problem. An efficient…

Optimization and Control · Mathematics 2024-07-08 David Kiessling , Katrin Baumgärtner , Jonathan Frey , Wilm Decré , Jan Swevers , Moritz Diehl

We propose an automatic method for pose and motion estimation against a ground surface for a ground-moving robot-mounted monocular camera. The framework adopts a semi-dense approach that benefits from both a feature-based method and an…

Robotics · Computer Science 2023-03-10 Masahiro Hirano , Taku Senoo , Norimasa Kishi , Masatoshi Ishikawa

Image-to-point-cloud registration (I2P) is a fundamental task in robotic applications such as manipulation,grasping, and localization. Existing deep learning-based I2P methods seek to align image and point cloud features in a learned…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Muyao Peng , Shun Zou , Pei An , You Yang , Qiong Liu

We describe a randomized algorithm that, given a set $P$ of points in the plane, computes the best location to insert a new point $p$, such that the Delaunay triangulation of $P\cup\{p\}$ has the largest possible minimum angle. The expected…

Computational Geometry · Computer Science 2014-01-07 Boris Aronov , Mark V. Yagnatinsky

We introduce TAPIP3D, a novel approach for long-term 3D point tracking in monocular RGB and RGB-D videos. TAPIP3D represents videos as camera-stabilized spatio-temporal feature clouds, leveraging depth and camera motion information to lift…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Bowei Zhang , Lei Ke , Adam W. Harley , Katerina Fragkiadaki

We present a new interior-point potential-reduction algorithm for solving monotone linear complementarity problems (LCPs) that have a particular special structure: their matrix $M\in{\mathbb R}^{n\times n}$ can be decomposed as $M=\Phi U +…

Machine Learning · Computer Science 2013-01-01 Geoffrey J. Gordon

This paper presents a systematic approach for computing local solutions to motion planning problems in non-convex environments using numerical optimal control techniques. It extends the range of use of state-of-the-art numerical optimal…

Optimization and Control · Mathematics 2017-10-03 Kristoffer Bergman , Daniel Axehill

A new closed-form solver is proposed minimizing the algebraic error optimally, in the least-squares sense, to estimate the relative planar motion of two calibrated cameras. The main objective is to solve the over-determined case, i.e., when…

Computer Vision and Pattern Recognition · Computer Science 2019-12-16 Levente Hajder , Daniel Barath

Multi-person pose estimation (MPPE) in natural images is key to the meaningful use of visual data in many fields including movement science, security, and rehabilitation. In this paper we tackle MPPE with a bottom-up approach, starting with…

Computer Vision and Pattern Recognition · Computer Science 2017-11-22 Shaofei Wang , Konrad Paul Kording , Julian Yarkony

Estimating the orientations of nodes in a pose graph from relative angular measurements is challenging because the variables live on a manifold product with nontrivial topology and the maximum-likelihood objective function is non-convex and…

Robotics · Computer Science 2012-11-14 Luca Carlone , Andrea Censi