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Graph matching is a fundamental tool in computer vision and pattern recognition. In this paper, we introduce an algorithm for graph matching based on the proximal operator, referred to as differentiable proximal graph matching (DPGM).…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Haoru Tan , Chuang Wang , Xu-Yao Zhang , Cheng-Lin Liu

Images are a convenient way to specify which particular object instance an embodied agent should navigate to. Solving this task requires semantic visual reasoning and exploration of unknown environments. We present a system that can perform…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Jacob Krantz , Theophile Gervet , Karmesh Yadav , Austin Wang , Chris Paxton , Roozbeh Mottaghi , Dhruv Batra , Jitendra Malik , Stefan Lee , Devendra Singh Chaplot

In the paper, some geometric properties of the plane interception curve defined by a nonlinear ordinary differential equation are discussed. Its parametric representation is used to find the limits of some triangle elements associated with…

Differential Geometry · Mathematics 2023-07-25 Yagub N. Aliyev

Object detection is one of the most fundamental yet challenging research topics in the domain of computer vision. Recently, the study on this topic in aerial images has made tremendous progress. However, complex background and worse imaging…

Computer Vision and Pattern Recognition · Computer Science 2022-04-07 Zongqi Wei , Dong Liang , Dong Zhang , Liyan Zhang , Qixiang Geng , Mingqiang Wei , Huiyu Zhou

We consider the problem of 3D object pose estimation. While much recent work has focused on the RGB domain, the reliance on accurately annotated images limits their generalizability and scalability. On the other hand, the easily available…

Computer Vision and Pattern Recognition · Computer Science 2019-08-01 Georgios Georgakis , Srikrishna Karanam , Ziyan Wu , Jana Kosecka

In this paper we present a new algorithmic realization of a projection-based scheme for general convex constrained optimization problem. The general idea is to transform the original optimization problem to a sequence of feasibility…

Optimization and Control · Mathematics 2019-11-12 Aviv Gibali , Karl-Heinz Küfer , Daniel Reem , Philipp Süss

Object shape and pose estimation is a foundational robotics problem, supporting tasks from manipulation to scene understanding and navigation. We present a fast local solver for shape and pose estimation which requires only category-level…

Robotics · Computer Science 2026-03-05 Lorenzo Shaikewitz , Tim Nguyen , Luca Carlone

The group PGL(3) of linear transformations of the projective plane acts naturally on the projective space parametrizing curves of a given degree. In this note we begin the study of the orbits of smooth curves under this action: we construct…

alg-geom · Mathematics 2012-04-10 Paolo Aluffi , Carel Faber

In 3D reconstruction, the recovery of the calibration parameters of the cameras is paramount since it provides metric information about the observed scene, e.g., measures of angles and ratios of distances. Autocalibration enables the…

Computer Vision and Pattern Recognition · Computer Science 2019-01-21 José I. Ronda , Antonio Valdés , Guillermo Gallego

We propose a novel method to accurately reconstruct a set of images representing a single scene from few linear multi-view measurements. Each observed image is modeled as the sum of a background image and a foreground one. The background…

Computer Vision and Pattern Recognition · Computer Science 2013-09-19 Gilles Puy , Pierre Vandergheynst

The equivalence test is a main part in any classification problem. It helps to prove bounds for the main parameters of the considered combinatorial structures and to study their properties. In this paper, we present algorithms for…

Discrete Mathematics · Computer Science 2022-02-07 Iliya Bouyukliev , Stefka Bouyuklieva

Explicitly or implicitly, most of dimensionality reduction methods need to determine which samples are neighbors and the similarity between the neighbors in the original highdimensional space. The projection matrix is then learned on the…

Computer Vision and Pattern Recognition · Computer Science 2017-09-12 Yanwei Pang , Bo Zhou , Feiping Nie

Estimating 3D shapes and poses of static objects from a single image has important applications for robotics, augmented reality and digital content creation. Often this is done through direct mesh predictions which produces unrealistic,…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Florian Langer , Gwangbin Bae , Ignas Budvytis , Roberto Cipolla

Aligning partially overlapping point sets where there is no prior information about the value of the transformation is a challenging problem in computer vision. To achieve this goal, we first reduce the objective of the robust point…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Wei Lian , WangMeng Zuo , Lei Zhang

Multi-objective probabilistic model checking provides a way to verify several, possibly conflicting, quantitative properties of a stochastic system. It has useful applications in controller synthesis and compositional probabilistic…

Logic in Computer Science · Computer Science 2015-03-20 Vojtech Forejt , Marta Kwiatkowska , David Parker

In statistical machine learning, kernel methods allow to consider infinite dimensional feature spaces with a computational cost that only depends on the number of observations. This is usually done by solving an optimization problem…

Optimization and Control · Mathematics 2019-01-17 Guillaume Garrigos , Lorenzo Rosasco , Silvia Villa

We present ObjectMatch, a semantic and object-centric camera pose estimator for RGB-D SLAM pipelines. Modern camera pose estimators rely on direct correspondences of overlapping regions between frames; however, they cannot align camera…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Can Gümeli , Angela Dai , Matthias Nießner

We present a method for constructing all bounded rational motions that frame a space curve $\mathbf{r}(t)$. This means that the motion guides an orthogonal frame along the curve such that one frame axis is in direction of the curve tangent.…

Optimization and Control · Mathematics 2025-08-04 Hans-Peter Schröcker , Zbyněk Šír

We address the problem of finding reliable dense correspondences between a pair of images. This is a challenging task due to strong appearance differences between the corresponding scene elements and ambiguities generated by repetitive…

Computer Vision and Pattern Recognition · Computer Science 2018-11-30 Ignacio Rocco , Mircea Cimpoi , Relja Arandjelović , Akihiko Torii , Tomas Pajdla , Josef Sivic

Given a planar curve defined by means of a real rational parametrization, we prove that the affine values of the parameter generating the real singularities of the offset are real roots of a univariate polynomial that can be derived from…

Algebraic Geometry · Mathematics 2015-06-12 Juan Gerardo Alcázar , Jorge Caravantes , Gema M. Diaz-Toca
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