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This paper primarily focuses on figuring out the best array of cameras, or visual sensors, so that such a placement enables the maximum utilization of these visual sensors. Maximizing the utilization of these cameras can convert to another…

Computer Vision and Pattern Recognition · Computer Science 2019-10-29 Lin Xu

We address the problem of optimal path planning for a simple nonholonomic vehicle in the presence of obstacles. Most current approaches are either split hierarchically into global path planning and local collision avoidance, or neglect some…

Optimization and Control · Mathematics 2020-05-08 Christian Parkinson , Andrea L. Bertozzi , Stanley Osher

This paper proposes a method to compute camera 6Dof poses to achieve a user defined coverage. The camera placement problem is modeled as a combinatorial optimization where given the maximum number of cameras, a camera set is selected from a…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Akshay Malhotra , Dhananjay Singh , Tushar Dadlani , Luis Yoichi Morales

We proposed an algorithm for solving Hamilton-Jacobi equation associated to an optimal trajectory problem for a vehicle moving inside the pre-specified domain with the speed depending upon the direction of the motion and current position of…

Computer Vision and Pattern Recognition · Computer Science 2013-03-29 Myong-Song Ho , Gwang-Hui Ju , Yong-Bom O , Gwang-Ho Jong

The problem of finding a next best viewpoint for 3D modeling or scene mapping has been explored in computer vision over the last decade. This paper tackles a similar problem, but with different characteristics. It proposes a method for…

Computer Vision and Pattern Recognition · Computer Science 2017-10-18 Christos Maniatis , Marcelo Saval-Calvo , Radim Tylecek , Robert B. Fisher

An adaptive, adversarial methodology is developed for the optimal transport problem between two distributions $\mu$ and $\nu$, known only through a finite set of independent samples $(x_i)_{i=1..N}$ and $(y_j)_{j=1..M}$. The methodology…

Optimization and Control · Mathematics 2019-02-20 Montacer Essid , Debra Laefer , Esteban G. Tabak

This paper present the mathematical fundaments and experimental study of an algorithm used to find the optimal position for the camera lens to obtain a maximum of details. This information can be further applied to a appropriate system to…

Computer Vision and Pattern Recognition · Computer Science 2015-02-24 Radu Arsinte

Visual place recognition is a critical task in computer vision, especially for localization and navigation systems. Existing methods often rely on contrastive learning: image descriptors are trained to have small distance for similar images…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 María Leyva-Vallina , Nicola Strisciuglio , Nicolai Petkov

In this paper, we propose a novel image restoration framework that integrates optimal control techniques with the Hamilton-Jacobi-Bellman (HJB) equation. Motivated by models from production planning, our method restores degraded images by…

Analysis of PDEs · Mathematics 2025-05-13 Dragos-Patru Covei

This paper is concerned with finding an optimal path for an observer, or sensor, moving at a constant speed, which is to estimate the position of a stationary target, using only bearing angle measurements. The generated path is optimal in…

Optimization and Control · Mathematics 2022-01-19 C. Yalçın Kaya

In contemporary imaging systems, achieving optimal auto-focus (AF) performance hinges on precise lens positioning. Extensive research has delved into refining algorithms for determining the ideal lens position across passive, active, and…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Ali Karaoglu

Neural networks build the foundation of several intelligent systems, which, however, are known to be easily fooled by adversarial examples. Recent advances made these attacks possible even in air-gapped scenarios, where the autonomous…

Computer Vision and Pattern Recognition · Computer Science 2023-11-16 Ana Răduţoiu , Jan-Philipp Schulze , Philip Sperl , Konstantin Böttinger

We present a partial-differential-equation-based optimal path-planning framework for curvature constrained motion, with application to vehicles in 2- and 3-spatial-dimensions. This formulation relies on optimal control theory, dynamic…

Numerical Analysis · Mathematics 2024-04-17 Christian Parkinson , Isabelle Boyle

Path finding is a well-studied problem in AI, which is often framed as graph search. Any-angle path finding is a technique that augments the initial graph with additional edges to build shorter paths to the goal. Indeed, optimal algorithms…

Artificial Intelligence · Computer Science 2021-04-15 Konstantin Yakovlev , Anton Andreychuk

In this work, we tackle the problem of active camera localization, which controls the camera movements actively to achieve an accurate camera pose. The past solutions are mostly based on Markov Localization, which reduces the position-wise…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Qihang Fang , Yingda Yin , Qingnan Fan , Fei Xia , Siyan Dong , Sheng Wang , Jue Wang , Leonidas Guibas , Baoquan Chen

Visual localization, i.e., determining the position and orientation of a vehicle with respect to a map, is a key problem in autonomous driving. We present a multicamera visual inertial localization algorithm for large scale environments. To…

Robotics · Computer Science 2019-05-16 Marcel Geppert , Peidong Liu , Zhaopeng Cui , Marc Pollefeys , Torsten Sattler

Despite recent advances on the topic of direct camera pose regression using neural networks, accurately estimating the camera pose of a single RGB image still remains a challenging task. To address this problem, we introduce a novel…

Computer Vision and Pattern Recognition · Computer Science 2019-10-29 Mai Bui , Christoph Baur , Nassir Navab , Slobodan Ilic , Shadi Albarqouni

In the context of optimal control, we consider the inverse problem of Lagrangian identification given system dynamics and optimal trajectories. Many of its theoretical and practical aspects are still open. Potential applications are very…

Optimization and Control · Mathematics 2014-03-21 Edouard Pauwels , Didier Henrion , Jean-Bernard Bernard Lasserre

Neural networks are prone to adversarial attacks. In general, such attacks deteriorate the quality of the input by either slightly modifying most of its pixels, or by occluding it with a patch. In this paper, we propose a method that keeps…

Computer Vision and Pattern Recognition · Computer Science 2019-10-18 Konrad Zolna , Michal Zajac , Negar Rostamzadeh , Pedro O. Pinheiro

We present a method for determining optimal walking paths in steep terrain using the level set method and an optimal control formulation. By viewing the walking direction as a control variable, we can determine the optimal control by…

Optimization and Control · Mathematics 2018-06-25 Christian Parkinson , David Arnold , Andrea L. Bertozzi , Yat Tin Chow , Stanley Osher
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