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While RANSAC-based methods are robust to incorrect image correspondences (outliers), their hypothesis generators are not robust to correct image correspondences (inliers) with positional error (noise). This slows down their convergence…

Computer Vision and Pattern Recognition · Computer Science 2017-09-28 Victor Fragoso , Chris Sweeney , Pradeep Sen , Matthew Turk

We reconsider the classic problem of estimating accurately a 2D transformation from point matches between images containing outliers. RANSAC discriminates outliers by randomly generating minimalistic sampled hypotheses and verifying their…

Computer Vision and Pattern Recognition · Computer Science 2017-01-20 Martin Rais , Gabriele Facciolo , Enric Meinhardt-Llopis , Jean-Michel Morel , Antoni Buades , Bartomeu Coll

We present an approach to solving hard geometric optimization problems in the RANSAC framework. The hard minimal problems arise from relaxing the original geometric optimization problem into a minimal problem with many spurious solutions.…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Petr Hruby , Timothy Duff , Anton Leykin , Tomas Pajdla

A novel method for robust estimation, called Graph-Cut RANSAC, GC-RANSAC in short, is introduced. To separate inliers and outliers, it runs the graph-cut algorithm in the local optimization (LO) step which is applied when a so-far-the-best…

Computer Vision and Pattern Recognition · Computer Science 2017-11-17 Daniel Barath , Jiri Matas

RANSAC and its variants are widely used for robust estimation, however, they commonly follow a greedy approach to finding the highest scoring model while ignoring other model hypotheses. In contrast, Iteratively Reweighted Least Squares…

Computer Vision and Pattern Recognition · Computer Science 2023-07-27 Luca Cavalli , Daniel Barath , Marc Pollefeys , Viktor Larsson

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

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

We introduce NONSAC (Non-Minimal Sampling and Consensus), a general framework for robust and scalable model estimation from arbitrarily large datasets contaminated with noise and outliers. NONSAC repeatedly samples non-minimal subsets of…

Computer Vision and Pattern Recognition · Computer Science 2026-04-27 Seong Hun Lee , Patrick Vandewalle , Javier Civera

A method called, sigma-consensus, is proposed to eliminate the need for a user-defined inlier-outlier threshold in RANSAC. Instead of estimating the noise sigma, it is marginalized over a range of noise scales. The optimized model is…

Computer Vision and Pattern Recognition · Computer Science 2019-06-06 Daniel Barath , Jana Noskova , Jiri Matas

In high-dimensional multivariate regression problems, enforcing low rank in the coefficient matrix offers effective dimension reduction, which greatly facilitates parameter estimation and model interpretation. However, commonly-used…

Statistics Theory · Mathematics 2017-07-18 Yiyuan She , Kun Chen

Vehicle relocation is the problem in which a mobile robot has to estimate the self-position with respect to an a priori map of landmarks using the perception and the motion measurements without using any knowledge of the initial…

Robotics · Computer Science 2015-06-26 Kanji Tanaka , Eiji Kondo

Robust estimation of camera motion under the presence of outlier noise is a fundamental problem in robotics and computer vision. Despite existing efforts that focus on detecting motion and scene degeneracies, the best existing approach that…

Robotics · Computer Science 2019-11-28 Shu-Hao Yeh , Dezhen Song

We propose a robust approach for the registration of two sets of 3D points in the presence of a large amount of outliers. Our first contribution is to reformulate the registration problem using a Truncated Least Squares (TLS) cost that…

Robotics · Computer Science 2019-07-02 Heng Yang , Luca Carlone

This paper focuses on developing efficient and robust evaluation metrics for RANSAC hypotheses to achieve accurate 3D rigid registration. Estimating six-degree-of-freedom (6-DoF) pose from feature correspondences remains a popular approach…

Computer Vision and Pattern Recognition · Computer Science 2020-11-11 Jiaqi Yang , Zhiqiang Huang , Siwen Quan , Qian Zhang , Yanning Zhang , Zhiguo Cao

RANSAC-based algorithms are the standard techniques for robust estimation in computer vision. These algorithms are iterative and computationally expensive; they alternate between random sampling of data, computing hypotheses, and running…

Computer Vision and Pattern Recognition · Computer Science 2023-09-27 Valter Piedade , Pedro Miraldo

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

Many computer vision applications require robust and efficient estimation of camera geometry from a minimal number of input data measurements, i.e., solving minimal problems in a RANSAC framework. Minimal problems are usually formulated as…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Snehal Bhayani , Janne Heikkilä , Zuzana Kukelova

The ability to handle outliers is essential for performing the perspective-n-point (PnP) approach in practical applications, but conventional RANSAC+P3P or P4P methods have high time complexities. We propose a fast PnP solution named R1PPnP…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Haoyin Zhou , Tao Zhang , Jagadeesan Jayender

We study the problem of robust subspace recovery (RSR) in the presence of adversarial outliers. That is, we seek a subspace that contains a large portion of a dataset when some fraction of the data points are arbitrarily corrupted. We first…

Machine Learning · Computer Science 2019-04-09 Tyler Maunu , Gilad Lerman

For several decades, RANSAC has been one of the most commonly used robust estimation algorithms for many problems in computer vision and related fields. The main contribution of this paper lies in addressing a long-standing error baked into…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Johannes Schönberger , Viktor Larsson , Marc Pollefeys
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