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In this paper, we present a novel affine-invariant feature based on SIFT, leveraging the regular appearance of man-made objects. The feature achieves full affine invariance without needing to simulate over affine parameter space. Low-rank…

Computer Vision and Pattern Recognition · Computer Science 2014-08-08 Chao Yang , Shengnan Caih , Jingdong Wang , Long Quan

We present a real-time method for robust estimation of multiple instances of geometric models from noisy data. Geometric models such as vanishing points, planar homographies or fundamental matrices are essential for 3D scene analysis.…

Computer Vision and Pattern Recognition · Computer Science 2024-01-29 Florian Kluger , Bodo Rosenhahn

Semantic segmentation and depth estimation are two important tasks in the area of image processing. Traditionally, these two tasks are addressed in an independent manner. However, for those applications where geometric and semantic…

Computer Vision and Pattern Recognition · Computer Science 2024-02-12 Dalila Sánchez-Escobedo , Xiao Lin , Josep R. Casas , Montse Pardàs

A new algorithm is proposed to accelerate RANSAC model quality calculations. The method is based on partitioning the joint correspondence space, e.g., 2D-2D point correspondences, into a pair of regular grids. The grid cells are mapped by…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Daniel Barath , Gabor Valasek

Robust estimation is a cornerstone in computer vision, particularly for tasks like Structure-from-Motion and Simultaneous Localization and Mapping. RANSAC and its variants are the gold standard for estimating geometric models (e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2025-06-06 Daniel Barath

Planar object tracking plays an important role in AI applications, such as robotics, visual servoing, and visual SLAM. Although the previous planar trackers work well in most scenarios, it is still a challenging task due to the rapid motion…

Computer Vision and Pattern Recognition · Computer Science 2022-02-22 Xinrui Zhan , Yueran Liu , Jianke Zhu , Yang Li

Intrinsic isometric shape matching has become the standard approach for pose invariant correspondence estimation among deformable shapes. Most existing approaches assume global consistency, i.e., the metric structure of the whole manifold…

Computer Vision and Pattern Recognition · Computer Science 2014-01-14 Alan Brunton , Michael Wand , Stefanie Wuhrer , Hans-Peter Seidel , Tino Weinkauf

Over the past few decades, a significant rise of camera-based applications for traffic monitoring has occurred. Governments and local administrations are increasingly relying on the data collected from these cameras to enhance road safety…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Giacomo D'Amicantonio , Egor Bondarev , Peter H. N. De With

The ability for an autonomous agent to self-localise is directly proportional to the accuracy and precision with which it can perceive salient features within its local environment. The identification of such features by recognising…

Robotics · Computer Science 2013-10-23 Madison Flannery , Shannon Fenn , David Budden

Supervised and unsupervised homography estimation methods depend on image pairs tailored to specific modalities to achieve high accuracy. However, their performance deteriorates substantially when applied to unseen modalities. To address…

Computer Vision and Pattern Recognition · Computer Science 2026-03-05 Jinkun You , Jiaxin Cheng , Jie Zhang , Yicong Zhou

This paper considers homography estimation in a Bayesian filtering framework using rate gyro and camera measurements. The use of rate gyro measurements facilitates a more reliable estimate of homography in the presence of occlusions, while…

Robotics · Computer Science 2023-10-17 Arturo Del Castillo Bernal , Philippe Decoste , James Richard Forbes

Persistent homology is a widely used tool in Topological Data Analysis that encodes multiscale topological information as a multi-set of points in the plane called a persistence diagram. It is difficult to apply statistical theory directly…

Statistics Theory · Mathematics 2013-12-03 Frédéric Chazal , Brittany Terese Fasy , Fabrizio Lecci , Alessandro Rinaldo , Larry Wasserman

Cross-resolution image alignment is a key problem in multiscale gigapixel photography, which requires to estimate homography matrix using images with large resolution gap. Existing deep homography methods concatenate the input images or…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Ruizhi Shao , Gaochang Wu , Yuemei Zhou , Ying Fu , Yebin Liu

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…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Zeru Shi , Zengxi Zhang , Kemeng Cui , Ruizhe An , Jinyuan Liu , Zhiying Jiang

The inverse problem of diffraction theory in essence amounts to the reconstruction of the atomic positions of a solid from its diffraction image. From a mathematical perspective, this is a notoriously difficult problem, even in the…

Metric Geometry · Mathematics 2009-02-23 Uwe Grimm , Michael Baake

The gold-standard for robustly estimating relative pose through image matching is RANSAC. While RANSAC is powerful, it requires setting the inlier threshold that determines whether the error of a correspondence under an estimated model is…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Johan Edstedt

Covariance and histogram image descriptors provide an effective way to capture information about images. Both excel when used in combination with special purpose distance metrics. For covariance descriptors these metrics measure the…

Machine Learning · Statistics 2015-05-26 Matt J. Kusner , Nicholas I. Kolkin , Stephen Tyree , Kilian Q. Weinberger

We introduce numerical algebraic geometry methods for computing lower bounds on the reach, local feature size, and the weak feature size of the real part of an equidimensional and smooth algebraic variety using the variety's defining…

Algebraic Geometry · Mathematics 2022-09-07 Sandra Di Rocco , Parker B. Edwards , David Eklund , Oliver Gäfvert , Jonathan D. Hauenstein

Accurate distance estimation from monocular cameras is essential for intelligent monitoring systems. In many deployments, image coordinates are mapped to ground positions using planar homographies initialized by manual selection of…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Mateusz Szulc , Marcin Iwanowski

We present a novel approach for RANSAC-based computation of the fundamental matrix based on epipolar homography decomposition. We analyze the geometrical meaning of the decomposition-based representation and show that it directly induces a…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Gil Ben-Artzi