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The detector-free feature matching approaches are currently attracting great attention thanks to their excellent performance. However, these methods still struggle at large-scale and viewpoint variations, due to the geometric inconsistency…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Dihe Huang , Ying Chen , Shang Xu , Yong Liu , Wenlong Wu , Yikang Ding , Chengjie Wang , Fan Tang

We propose AffineGlue, a method for joint two-view feature matching and robust estimation that reduces the combinatorial complexity of the problem by employing single-point minimal solvers. AffineGlue selects potential matches from…

Computer Vision and Pattern Recognition · Computer Science 2023-07-31 Daniel Barath , Dmytro Mishkin , Luca Cavalli , Paul-Edouard Sarlin , Petr Hruby , Marc Pollefeys

The invariance to permutations of the adjacency matrix, i.e., graph isomorphism, is an overarching requirement for Graph Neural Networks (GNNs). Conventionally, this prerequisite can be satisfied by the invariant operations over node…

Machine Learning · Computer Science 2022-05-31 Zhongyu Huang , Yingheng Wang , Chaozhuo Li , Huiguang He

Graphs are one of the most important data structures for representing pairwise relations between objects. Specifically, a graph embedded in a Euclidean space is essential to solving real problems, such as physical simulations. A crucial…

Machine Learning · Computer Science 2021-03-11 Masanobu Horie , Naoki Morita , Toshiaki Hishinuma , Yu Ihara , Naoto Mitsume

We consider the problem of two-view matching under significant viewpoint changes with view synthesis. We propose two novel methods, minimizing the view synthesis overhead. The first one, named DenseAffNet, uses dense affine shapes estimates…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Václav Vávra , Dmytro Mishkin , Jiří Matas

The employment of convolutional neural networks has achieved unprecedented performance in the task of image restoration for a variety of degradation factors. However, high-performance networks have been specifically designed for a single…

Computer Vision and Pattern Recognition · Computer Science 2020-01-22 Xing Liu , Masanori Suganuma , Xiyang Luo , Takayuki Okatani

We present a novel area matching algorithm for merging two different 2D grid maps. There are many approaches to address this problem, nevertheless, most previous work is built on some assumptions, such as rigid transformation, or similar…

Robotics · Computer Science 2019-11-19 Jiawei Hou , Haofei Kuang , Sören Schwertfeger

The use of local detectors and descriptors in typical computer vision pipelines work well until variations in viewpoint and appearance change become extreme. Past research in this area has typically focused on one of two approaches to this…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Udit Singh Parihar , Aniket Gujarathi , Kinal Mehta , Satyajit Tourani , Sourav Garg , Michael Milford , K. Madhava Krishna

We address the problem of merging graph and feature-space information while learning a metric from structured data. Existing algorithms tackle the problem in an asymmetric way, by either extracting vectorized summaries of the graph…

Machine Learning · Computer Science 2020-02-17 Nicolo Colombo

The Weisfeiler-Leman procedure is a widely-used technique for graph isomorphism testing that works by iteratively computing an isomorphism-invariant coloring of vertex tuples. Meanwhile, a fundamental tool in structural graph theory, which…

Discrete Mathematics · Computer Science 2022-07-19 Sandra Kiefer , Daniel Neuen

With the rapid development of deep generative models (such as Generative Adversarial Networks and Diffusion models), AI-synthesized images are now of such high quality that humans can hardly distinguish them from pristine ones. Although…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Yan Ju , Shan Jia , Jialing Cai , Haiying Guan , Siwei Lyu

The graph isomorphism (GI) problem, which asks whether two graphs are structurally identical, occupies a unique position in computational complexity -- it is neither known to be solvable in polynomial time, nor proven to be NP-complete. We…

Optimization and Control · Mathematics 2026-05-21 Wenjie Xiao , Mathieu Besançon , Patrick Gelß , Deborah Hendrych , Stefan Klus , Sebastian Pokutta

We propose a novel method for comparing non-aligned graphs of different sizes, based on the Wasserstein distance between graph signal distributions induced by the respective graph Laplacian matrices. Specifically, we cast a new formulation…

Machine Learning · Computer Science 2020-03-16 Hermina Petric Maretic , Mireille El Gheche , Matthias Minder , Giovanni Chierchia , Pascal Frossard

We present a novel learning-based approach for computing correspondences between non-rigid 3D shapes. Unlike previous methods that either require extensive training data or operate on handcrafted input descriptors and thus generalize poorly…

Machine Learning · Statistics 2020-04-01 Nicolas Donati , Abhishek Sharma , Maks Ovsjanikov

The Grassmann angle improves upon similar angles between subspaces that measure volume contraction in orthogonal projections. It works in real or complex spaces, with important differences, and is asymmetric, what makes it more efficient…

Metric Geometry · Mathematics 2021-01-13 André L. G. Mandolesi

Many exact search algorithms for NP-hard graph problems adopt the old Davis-Putman branch-and-reduce paradigm. The performance of these algorithms often suffers from the increasing number of graph modifications, such as vertex/edge…

Data Structures and Algorithms · Computer Science 2014-04-28 Faisal N. Abu-Khzam , Karim A. Jahed , Amer E. Mouawad

Recent advances in computer vision and machine learning suggest that a wide range of problems can be addressed more appropriately by considering non-Euclidean geometry. In this paper we explore sparse dictionary learning over the space of…

Computer Vision and Pattern Recognition · Computer Science 2013-10-21 Mehrtash Harandi , Conrad Sanderson , Chunhua Shen , Brian C. Lovell

In this paper, we focus on the matching recovery problem between a pair of correlated Gaussian Wigner matrices with a latent vertex correspondence. We are particularly interested in a robust version of this problem such that our observation…

Machine Learning · Statistics 2025-06-02 Zhangsong Li

In this paper, we introduce a graph matching method that can account for constraints of arbitrary order, with arbitrary potential functions. Unlike previous decomposition approaches that rely on the graph structures, we introduce a…

Computer Vision and Pattern Recognition · Computer Science 2018-02-26 D. Khuê Lê-Huu , Nikos Paragios

Recommending matches in a text-rich, dynamic two-sided marketplace presents unique challenges due to evolving content and interaction graphs. We introduce GraphMatch, a new large-scale recommendation framework that fuses pre-trained…

Machine Learning · Computer Science 2025-12-03 Mikołaj Sacha , Hammad Jafri , Mattie Terzolo , Ayan Sinha , Andrew Rabinovich
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