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Real-world problems are very difficult to optimize. However, many researchers have been solving benchmark problems that have been extensively investigated for the last decades even if they have very few direct applications. The Traveling…

Artificial Intelligence · Computer Science 2016-03-25 Mohamed El Yafrani , Belaïd Ahiod

Triangle counting is a fundamental and widely studied problem on static graphs, and recently on temporal graphs, where edges carry information on the timings of the associated events. Streaming processing and resource efficiency are crucial…

Data Structures and Algorithms · Computer Science 2025-06-17 Giorgio Venturin , Ilie Sarpe , Fabio Vandin

We present TRI\`EST, a suite of one-pass streaming algorithms to compute unbiased, low-variance, high-quality approximations of the global and local (i.e., incident to each vertex) number of triangles in a fully-dynamic graph represented as…

Data Structures and Algorithms · Computer Science 2016-06-29 Lorenzo De Stefani , Alessandro Epasto , Matteo Riondato , Eli Upfal

In this paper, a statistically optimal solution to the Perspective-n-Point (PnP) problem is presented. Many solutions to the PnP problem are geometrically optimal, but do not consider the uncertainties of the observations. In addition, it…

Computer Vision and Pattern Recognition · Computer Science 2016-07-28 Steffen Urban , Jens Leitloff , Stefan Hinz

Determining the position and orientation of a calibrated camera from a single image with respect to a 3D model is an essential task for many applications. When 2D-3D correspondences can be obtained reliably, perspective-n-point solvers can…

Computer Vision and Pattern Recognition · Computer Science 2019-06-19 Dylan Campbell , Lars Petersson , Laurent Kneip , Hongdong Li , Stephen Gould

Generative posterior sampling using diffusion models has emerged as a dominant paradigm for solving inverse problems in imaging, which usually consists of three main components: data consistency (DC) guidance, classifier-free guidance (CFG)…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Junseo Bang , Dong Ju Mun , Hoigi Seo , Seongmin Hong , Se Young Chun

Surface normal integration is a fundamental problem in computer vision, dealing with the objective of reconstructing a surface from its corresponding normal map. Existing approaches require an iterative global optimization to jointly…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Francesco Milano , Jen Jen Chung , Lionel Ott , Roland Siegwart

Path planning is a fundamental problem in road networks, with the goal of finding a path that optimizes objectives such as shortest distance or minimal travel time. Existing methods typically use graph indexing to ensure the efficiency of…

Data Structures and Algorithms · Computer Science 2024-12-10 Hanzhang Chen , Xiangzhi Zhang , Shufeng Gong , Feng Yao , Song Yu , Yanfeng Zhang , Ge Yu

To address the issue of increased triangulation uncertainty caused by selecting views with small camera baselines in Structure from Motion (SFM) view selection, this paper proposes a robust error-resistant view selection method. The method…

Computer Vision and Pattern Recognition · Computer Science 2024-02-27 Shaojie Zhang , Yinghui Wang , Bin Nan , Wei Li , Jinlong Yang , Tao Yan , Yukai Wang , Liangyi Huang , Mingfeng Wang , Ibragim R. Atadjanov

Acquiring 3D geometry of real world objects has various applications in 3D digitization, such as navigation and content generation in virtual environments. Image remains one of the most popular media for such visual tasks due to its…

Computer Vision and Pattern Recognition · Computer Science 2017-01-26 Shuai Du , Youyi Zheng

This paper studies the underlying combinatorial structure of a class of object rearrangement problems, which appear frequently in applications. The problems involve multiple, similar-geometry objects placed on a flat, horizontal surface,…

Robotics · Computer Science 2017-11-21 Shuai D Han , Nicholas M Stiffler , Athanasios Krontiris , Kostas E Bekris , Jingjin Yu

Many evolutionary and constructive heuristic approaches have been introduced in order to solve the Traveling Thief Problem (TTP). However, the accuracy of such approaches is unknown due to their inability to find global optima. In this…

Data Structures and Algorithms · Computer Science 2017-08-02 Junhua Wu , Markus Wagner , Sergey Polyakovskiy , Frank Neumann

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

Accurate and efficient modeling of agent interactions is essential for trajectory generation, the core of autonomous driving systems. Existing methods, scene-centric, agent-centric, and query-centric frameworks, each present distinct…

Robotics · Computer Science 2025-03-20 Jianbo Zhao , Taiyu Ban , Zhihao Liu , Hangning Zhou , Xiyang Wang , Qibin Zhou , Hailong Qin , Mu Yang , Lei Liu , Bin Li

Triangle counting and sampling are two fundamental problems for streaming algorithms. Arguably, designing sampling algorithms is more challenging than their counting variants. It may be noted that triangle counting has received far greater…

Data Structures and Algorithms · Computer Science 2024-05-17 Arijit Bishnu , Arijit Ghosh , Gopinath Mishra , Sayantan Sen

We report on the implementation of an algorithm for computing the set of all regular triangulations of finitely many points in Euclidean space. This algorithm, which we call down-flip reverse search, can be restricted, e.g., to computing…

Combinatorics · Mathematics 2018-10-30 Charles Jordan , Michael Joswig , Lars Kastner

This paper presents a distributed approach for exploring and triangulating an unknown region using a multi- robot system. The objective is to produce a covering of an unknown workspace by a fixed number of robots such that the covered…

Robotics · Computer Science 2014-02-04 SeoungKyou Lee , Aaron Becker , Sándor P. Fekete , Alexander Kröller , James McLurkin

$3$D structure recovery from a collection of $2$D images requires the estimation of the camera locations and orientations, i.e. the camera motion. For large, irregular collections of images, existing methods for the location estimation…

Computer Vision and Pattern Recognition · Computer Science 2015-06-05 Onur Ozyesil , Amit Singer

In tomographic reconstruction, the goal is to reconstruct an unknown object from a collection of line integrals. Given a complete sampling of such line integrals for various angles and directions, explicit inverse formulas exist to…

Numerical Analysis · Mathematics 2018-01-18 Tristan van Leeuwen , Simon Maretzke , K. Joost Batenburg

Robust and accurate scale estimation of a target object is a challenging task in visual object tracking. Most existing tracking methods cannot accommodate large scale variation in complex image sequences and thus result in inferior…

Image and Video Processing · Electrical Eng. & Systems 2024-10-30 Haoyi Ma , Scott T. Acton , Zongli Lin