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Biological and physical systems often exhibit distinct structures at different spatial/temporal scales. Persistent homology is an algebraic tool that provides a mathematical framework for analyzing the multi-scale structures frequently…

代数拓扑 · 数学 2016-02-01 Jonathan Jaquette , Miroslav Kramár

Persistent homology is a topological feature used in a variety of applications such as generating features for data analysis and penalizing optimization problems. We develop an approach to accelerate persistent homology computations…

代数拓扑 · 数学 2023-01-19 Yuan Luo , Bradley J. Nelson

An end-to-end trainable ConvNet architecture, that learns to harness the power of shape representation for matching disparate image pairs, is proposed. Disparate image pairs are deemed those that exhibit strong affine variations in scale,…

计算机视觉与模式识别 · 计算机科学 2018-11-27 Shefali Srivastava , Abhimanyu Chopra , Arun CS Kumar , Suchendra M. Bhandarkar , Deepak Sharma

An important task in the field of sensor technology is the efficient implementation of adaptation procedures of measurements from one sensor to another sensor of identical design. One idea is to use the estimation of an affine…

Persistent homology (PH) has recently emerged as a powerful tool for extracting topological features. Integrating PH into machine learning and deep learning models enhances topology awareness and interpretability. However, most PH methods…

机器学习 · 计算机科学 2026-01-05 Xinyang Chen , Amaël Broustet , Guanyuan Zeng , Cheng He , Guoting Chen

We present a novel feature matching algorithm that systematically utilizes the geometric properties of features such as position, scale, and orientation, in addition to the conventional descriptor vectors. In challenging scenes with the…

计算机视觉与模式识别 · 计算机科学 2017-01-23 Sehyung Lee , Jongwoo Lim , Il Hong Suh

Feature selection is a process of choosing a subset of relevant features so that the quality of prediction models can be improved. An extensive body of work exists on information-theoretic feature selection, based on maximizing Mutual…

机器学习 · 计算机科学 2016-12-05 Jilin Wu , Soumyajit Gupta , Chandrajit Bajaj

The paper aims at proposing the first shape identification and classification algorithm in echolocation. The approach is based on first extracting geometric features from the reflected waves and then matching them with precomputed ones…

数值分析 · 计算机科学 2013-08-27 Habib Ammari , Minh Phuong Tran , Han Wang

Local features are essential to many modern downstream applications. Therefore, it is of interest to determine the properties of local features that contribute to the downstream performance for a better design of feature detectors and…

计算机视觉与模式识别 · 计算机科学 2025-06-02 Konstantin Pakulev , Alexander Vakhitov , Gonzalo Ferrer

Semi-dense detector-free approaches (SDF), such as LoFTR, are currently among the most popular image matching methods. While SDF methods are trained to establish correspondences between two images, their performances are almost exclusively…

计算机视觉与模式识别 · 计算机科学 2024-06-04 Matthieu Vilain , Rémi Giraud , Hugo Germain , Guillaume Bourmaud

Feature extraction in noisy image datasets presents many challenges in model reliability. In this paper, we use the discrete Fourier transform in conjunction with persistent homology analysis to extract specific frequencies that correspond…

计算机视觉与模式识别 · 计算机科学 2025-12-09 Anil Chintapalli , Peter Tenholder , Henry Chen , Arjun Rao

Despite significant progress of deep learning in recent years, state-of-the-art semantic matching methods still rely on legacy features such as SIFT or HoG. We argue that the strong invariance properties that are key to the success of…

计算机视觉与模式识别 · 计算机科学 2017-04-18 David Novotny , Diane Larlus , Andrea Vedaldi

This article introduces an algorithm to compute the persistent homology of a filtered complex with various coefficient fields in a single matrix reduction. The algorithm is output-sensitive in the total number of distinct persistent…

计算几何 · 计算机科学 2020-01-10 Jean-Daniel Boissonnat , Clément Maria

In this paper, we propose the first minimal solutions for estimating the semi-generalized homography given a perspective and a generalized camera. The proposed solvers use five 2D-2D image point correspondences induced by a scene plane. One…

计算机视觉与模式识别 · 计算机科学 2021-10-12 Snehal Bhayani , Torsten Sattler , Daniel Barath , Patrik Beliansky , Janne Heikkila , Zuzana Kukelova

The rapid progress of Artificial Intelligence research came with the development of increasingly complex deep learning models, leading to growing challenges in terms of computational complexity, energy efficiency and interpretability. In…

机器学习 · 计算机科学 2023-06-28 Yuanrong Wang , Antonio Briola , Tomaso Aste

Few-shot learning (FSL) based on manifold regularization aims to improve the recognition capacity of novel objects with limited training samples by mixing two samples from different categories with a blending factor. However, this mixing…

计算机视觉与模式识别 · 计算机科学 2024-03-27 Xingyu Zhu , Shuo Wang , Jinda Lu , Yanbin Hao , Haifeng Liu , Xiangnan He

We present a powerful new loss function and training scheme for learning binary hash functions. In particular, we demonstrate our method by creating for the first time a neural network that outperforms state-of-the-art Haar wavelets and…

计算机视觉与模式识别 · 计算机科学 2018-02-12 Martin Loncaric , Bowei Liu , Ryan Weber

Images captured in harsh environments often exhibit blurred details, reduced contrast, and color distortion, which hinder feature detection and matching, thereby affecting the accuracy and robustness of homography estimation. While visual…

计算机视觉与模式识别 · 计算机科学 2025-03-19 Zeru Shi , Zengxi Zhang , Kemeng Cui , Ruizhe An , Jinyuan Liu , Zhiying Jiang

Image alignment tasks require accurate pixel correspondences, which are usually recovered by matching local feature descriptors. Such descriptors are often derived using supervised learning on existing datasets with ground truth…

计算机视觉与模式识别 · 计算机科学 2018-08-07 Jing Dong , Byron Boots , Frank Dellaert , Ranveer Chandra , Sudipta N. Sinha

This paper presents Slime, a novel non-deep image matching framework which models the scene as rough local overlapping planes. This intermediate representation sits in-between the local affine approximation of the keypoint patches and the…

计算机视觉与模式识别 · 计算机科学 2024-01-17 Fabio Bellavia