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We aim at estimating the fundamental matrix in two views from five correspondences of rotation invariant features obtained by e.g.\ the SIFT detector. The proposed minimal solver first estimates a homography from three correspondences…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 Daniel Barath

Multimodal language models (MLLMs) are increasingly paired with vision tools (e.g., depth, flow, correspondence) to enhance visual reasoning. However, despite access to these tool-generated visual cues, MLLMs often fail to benefit from…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Muhammad Kamran Janjua , Hugo Silva , Di Niu , Bahador Rashidi

Joint object matching, also known as multi-image matching, namely, the problem of finding consistent partial maps among all pairs of objects within a collection, is a crucial task in many areas of computer vision. This problem subsumes…

Optimization and Control · Mathematics 2022-11-29 Antonio De Rosa , Aida Khajavirad

Placing a minimum number of guards on a given watchman route in a polygonal domain is called the {\em minimum vision points problem}. We prove that finding the minimum number of vision points on a shortest watchman route in a simple polygon…

Computational Geometry · Computer Science 2022-07-12 Mayank Chaturvedi , Bengt J. Nilsson

Multimodal Vision Language Models (VLMs) have emerged as a transformative topic at the intersection of computer vision and natural language processing, enabling machines to perceive and reason about the world through both visual and textual…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Zongxia Li , Xiyang Wu , Hongyang Du , Fuxiao Liu , Huy Nghiem , Guangyao Shi

We study the problem of learning a partially observed matrix under the low rank assumption in the presence of fully observed side information that depends linearly on the true underlying matrix. This problem consists of an important…

Machine Learning · Statistics 2026-02-05 Dimitris Bertsimas , Nicholas A. G. Johnson

We propose and analyze asymptotic proximal point (APP) methods to find the global minimizer for a class of nonconvex, nonsmooth, or even discontinuous multiple minima functions. The method is based on an asymptotic representation of…

Optimization and Control · Mathematics 2020-12-23 Xiaopeng Luo , Xin Xu , Herschel A. Rabitz

This paper shows the benefits and fruitfulness of evaluating LLMs with multiple problems at once, a paradigm we call multi-problem evaluation (MPE). Unlike conventional single-problem evaluation, where a prompt presents a single problem and…

Artificial Intelligence · Computer Science 2025-06-24 Zhengxiang Wang , Jordan Kodner , Owen Rambow

We study several natural instances of the geometric hitting set problem for input consisting of sets of line segments (and rays, lines) having a small number of distinct slopes. These problems model path monitoring (e.g., on road networks)…

Computational Geometry · Computer Science 2016-12-20 Sándor P. Fekete , Kan Huang , Joseph S. B. Mitchell , Ojas Parekh , Cynthia A. Phillips

In this work, we carry out structural and algorithmic studies of a problem of barrier forming: selecting theminimum number of straight line segments (barriers) that separate several sets of mutually disjoint objects in the plane. The…

Robotics · Computer Science 2022-02-25 Si Wei Feng , Jingjin Yu

Existing video benchmarks often resemble image-based benchmarks, with question types like "What actions does the person perform throughout the video?" or "What color is the woman's dress in the video?" For these, models can often answer by…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Yiyang Zhou , Linjie Li , Shi Qiu , Zhengyuan Yang , Yuyang Zhao , Siwei Han , Yangfan He , Kangqi Li , Haonian Ji , Zihao Zhao , Haibo Tong , Lijuan Wang , Huaxiu Yao

This paper proposes a novel algorithm of discovering the structure of a kaleidoscopic imaging system that consists of multiple planar mirrors and a camera. The kaleidoscopic imaging system can be recognized as the virtual multi-camera…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Kosuke Takahashi , Shohei Nobuhara

This paper addresses the challenge of probabilistic parameter estimation given measurement uncertainty in real-time. We provide a general formulation and apply this to pose estimation for an autonomous visual landing system. We present…

Conventional absolute camera pose via a Perspective-n-Point (PnP) solver often assumes that the correspondences between 2D image pixels and 3D points are given. When the correspondences between 2D and 3D points are not known a priori, the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Liu Liu , Dylan Campbell , Hongdong Li , Dingfu Zhou , Xibin Song , Ruigang Yang

Traditional image classification requires a predefined list of semantic categories. In contrast, Large Multimodal Models (LMMs) can sidestep this requirement by classifying images directly using natural language (e.g., answering the prompt…

Computer Vision and Pattern Recognition · Computer Science 2025-10-17 Alessandro Conti , Massimiliano Mancini , Enrico Fini , Yiming Wang , Paolo Rota , Elisa Ricci

We study the set of image tuples arising from fixed cameras observing varying planar 3-dimensional point configurations. We derive a formula for the number of complex critical points of the triangulation problem, which seeks to reconstruct…

Algebraic Geometry · Mathematics 2026-05-01 Petr Hrubý , Elima Shehu

Constructing expressive and legible visualizations is a key activity for visualization designers. While numerous design guidelines exist, research on how specific graphical features affect perceived visual complexity remains limited. In…

Human-Computer Interaction · Computer Science 2025-12-08 Johannes Ellemose , Niklas Elmqvist

Existing vision-language models (VLMs) such as CLIP have showcased an impressive capability to generalize well across various downstream tasks. These models leverage the synergy between visual and textual information, enabling them to…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Fangming Cui , Yonggang Zhang , Xuan Wang , Xule Wang , Liang Xiao

We present a 4-approximation algorithm for the problem of placing a fewest guards on a 1.5D terrain so that every point of the terrain is seen by at least one guard. This improves on the currently best approximation factor of 5. Our method…

Computational Geometry · Computer Science 2008-09-02 K. Elbassioni , D. Matijevic , J. Mestre , D. Severdija

Geometric camera calibration is often required for applications that understand the perspective of the image. We propose perspective fields as a representation that models the local perspective properties of an image. Perspective Fields…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Linyi Jin , Jianming Zhang , Yannick Hold-Geoffroy , Oliver Wang , Kevin Matzen , Matthew Sticha , David F. Fouhey