2017
DOI: 10.1038/srep44092
|View full text |Cite
|
Sign up to set email alerts
|

Position and orientation measurement adopting camera calibrated by projection geometry of Plücker matrices of three-dimensional lines

Abstract: A position and orientation measurement method is investigated by adopting a camera calibrated by the projection geometry of the skew-symmetric Plücker matrices of 3D lines. The relationship between the Plücker matrices of the dual 3D lines and the 2D projective lines is provided in two vertical world coordinate planes. The transform matrix is generated from the projections of the 3D lines. The differences between the coordinates of the reprojective lines and the coordinates of extracted lines are employed to v… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

0
7
0

Year Published

2017
2017
2024
2024

Publication Types

Select...
6

Relationship

1
5

Authors

Journals

citations
Cited by 6 publications
(7 citation statements)
references
References 24 publications
0
7
0
Order By: Relevance
“…8 . After calibrating the internal parameters of the CCD camera 28 30 , the orientation of M 2 is determined in the camera coordinate system using the hollow ring marker matrix 31 on the surface of M 2 . The same hollow ring marker matrix is generated by software and displayed on the LCD 1 screen.…”
Section: Methodsmentioning
confidence: 99%
“…8 . After calibrating the internal parameters of the CCD camera 28 30 , the orientation of M 2 is determined in the camera coordinate system using the hollow ring marker matrix 31 on the surface of M 2 . The same hollow ring marker matrix is generated by software and displayed on the LCD 1 screen.…”
Section: Methodsmentioning
confidence: 99%
“…The origin and geometrical sequence between each grid cell determine the transformation matrix of orientation parameters that form the image of the object by relating the scene properties as pixels (Liu et al, 2016). The origin is the camera centre defined by its position and orientation (Xu et al, 2017). Digital photos acquired from off-nadir angle geometry will generate denser tie-points and create a better model for the cliff surface compared with photos acquired from the nadir positions (Nesbit and Hugenholtz, 2019;Juad et al, 2016;Mancini et al, 2017).…”
Section: Figure 1 Perspective Projectionmentioning
confidence: 99%
“…To calibrate the distance d between the reference plane and LCD 1 , mirror M 2 is positioned parallel to the LCD screen and its surface is chosen as the reference plane. After calibrating the internal parameters of the CCD camera [ 31 , 32 , 33 ], the orientation of M 2 is determined in the camera coordinate system using the hollow ring matrix pattern on the surface of M 2 [ 34 , 35 ]. The same hollow ring matrix pattern is generated by software and displayed on LCD 1 so that the CCD camera can view and capture the hollow ring matrix pattern at position LCD 1 ″ (the virtual image of LCD 1 ′) reflected by the surface of M 2 .…”
Section: Principlementioning
confidence: 99%
“…Matrix A consists of the CCD camera internal parameters: two focal lengths ( F u and F v ), two principal point coordinates ( P u and P v ), and four image radial and tangential distortion coefficients ( K 1 , K 2 , K 3 , and K 4 ). The eight internal parameters need to be calibrated beforehand and Zhang’s camera calibration method is used to obtain their values using a checkerboard at different positions [ 31 , 32 , 33 ].…”
Section: Principlementioning
confidence: 99%