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Rotation-Alignment-by-one-AC

This package is a MATLAB implementation of the Rotation alignment of a camera-IMU system using a single affine correspondence [1]. It includes a demo and corresponding data for rotation alignment of a camera-IMU system using only a single affine correspondence in minimal case. Authors: Yu Yingjian, Banglei Guan et al.

Reference

[1] Yingjian Yu, Banglei Guan, Xiangyi Sun, Zhang Li, and Friedrich Fraundorfer, "Rotation alignment of a camera¨CIMU system using a single affine correspondence," Appl. Opt. 60, 7455-7465 (2021).

If you use this package in an academic work, please cite:

@article{Yu:21,
author = {Yingjian Yu and Banglei Guan and Xiangyi Sun and Zhang Li and Friedrich Fraundorfer},
journal = {Appl. Opt.},
keywords = {Cameras; Detectors; Gyroscopes; Image metrics; Image registration; Imaging noise},
number = {24},
pages = {7455--7465},
publisher = {OSA},
title = {Rotation alignment of a camera--IMU system using a single affine correspondence},
volume = {60},
month = {Aug},
year = {2021},
url = {http://ao.osa.org/abstract.cfm?URI=ao-60-24-7455},
doi = {10.1364/AO.431909}
}

README

  • File: demo.m

  • Key function API: [ RError,TError ] = get1acResult( Rimu1,Rimu2,A, Rfirst,x1,x2,Rzyxall,T12,d);

  • Input data for API:

    Rimu1 3x3 -the rotation matrix from IMU1 to world frame

    Rimu2 3x3 -the rotation matrix from IMU2 to world frame

    (A, x1,x2) - The A is the 2x2 affine matrix of affine correspondence, the x1 and x2 are the normalized image point correspondence.

    Rfirst - The initial rotation matrix between camera and IMU.

    Rzyxall - The ground truth of the rotation matrix between camera and IMU.

    T12 - The translation vector between camera1 and camera2.

    Let eye1, eye2 be position coordinates in world frame of camera1 and camera2, then T12 =-( eye2 - eye1)'.

    d - The distance from eye1 to the plane.

  • Output data of API:

    RError - The error of the estimated rotation matrix between camera and IMU.

    TError - The error of the recovered translation vector between camera1 and camera2.

  • Input Data for demo:

data.mat

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rotation alignment of a camera-IMU system using only a single affine correspondence in minimal case

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