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arXiv 2203.07930cs.CV
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来自SIFT特征的相对位姿

Relative Pose from SIFT Features

ETH Zurich(苏黎世联邦理工学院);Czech Technical University in Prague(布拉格捷克理工大学)

Daniel Barath, Zuzana Kukelova

摘要:

本文提出了对极几何与方向和尺度协变的几何关系,例如,SIFT,特征。我们推导出一个新的线性约束关系的未知元素的基本矩阵和方向和规模。该方程可以与公知的对极约束一起使用,例如,从四个SIFT对应中估计基本矩阵,从三个SIFT对应中估计本质矩阵,并从三个对应中求解半校准情况。需要比众所周知的基于点的方法更少的对应关系(例如,5PT、6PT和7PT解算器)使类似于RANSAC的随机稳健估计显著更快。在合成环境中的一些问题和公开的真实世界的数据集上超过80000图像对所提出的约束进行了测试。它在处理时间方面优于最先进的技术,同时通常导致更准确的结果。

英文摘要:

This paper proposes the geometric relationship of epipolar geometry and orientation- and scale-covariant, e.g., SIFT, features. We derive a new linear constraint relating the unknown elements of the fundamental matrix and the orientation and scale. This equation can be used together with the well-known epipolar constraint to, e.g., estimate the fundamental matrix from four SIFT correspondences, essential matrix from three, and to solve the semi-calibrated case from three correspondences. Requiring fewer correspondences than the well-known point-based approaches (e.g., 5PT, 6PT and 7PT solvers) for epipolar geometry estimation makes RANSAC-like randomized robust estimation significantly faster. The proposed constraint is tested on a number of problems in a synthetic environment and on publicly available real-world datasets on more than 80000 image pairs. It is superior to the state-of-the-art in terms of processing time while often leading to more accurate results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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