NDLI: The common self-polar triangle of concentric circles and its application to camera calibration

Content Provider	IEEE Xplore Digital Library
Author	Haifei Huang Hui Zhang Yiu-ming Cheung
Copyright Year	2015
Description	Author affiliation: Dept. of Comput. Sci., Hong Kong Baptist Univ., Hong Kong, China (Haifei Huang; Yiu-ming Cheung) \|\| United Int. Coll., BNU-HKBU, Zhuhai, China (Hui Zhang)
Abstract	In projective geometry, the common self-polar triangle has often been used to discuss the position relationship of two planar conics. However, there are few researches on the properties of the common self-polar triangle, especially when the two planar conics are special conics. In this paper, we explore the properties of the common self-polar triangle, when the two conics happen to be concentric circles. We show there exist infinite many common self-polar triangles of two concentric circles, and provide a method to locate the vertices of these triangles. By investigating all these triangles, we find that they encode two important properties. The first one is all triangles share one common vertex, and the opposite side of the common vertex lies on the same line, which are the circle center and the line at the infinity of the support plane. The second is all triangles are right triangles. Based on these two properties, the imaged circle center and the varnishing line of support plane can be recovered simultaneously, and many conjugate pairs on vanishing line can be obtained. These allow to induce good constraints on the image of absolute conic. We evaluate two calibration algorithms, whereby accurate results are achieved. The main contribution of this paper is that we initiate a new perspective to look into circle-based camera calibration problem. We believe that other calibration methods using different circle patterns can benefit from this perspective, especially for the patterns which involve more than two circles.
Starting Page	4065
Ending Page	4072
File Size	386920
Page Count	8
File Format	PDF
ISSN	10636919
e-ISBN	9781467369640
DOI	10.1109/CVPR.2015.7299033
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-06-07
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Calibration Cameras Noise level Eigenvalues and eigenfunctions Mathematical model Three-dimensional displays Robot vision systems
Content Type	Text
Resource Type	Article
Subject	Computer Vision and Pattern Recognition Software

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Computing similarity transformations from only image correspondences

Perspective Reconstruction and Camera Auto-Calibration as Rectangular Polynomial Eigenvalue Problem

Determining Intrinsic and Pose Parameters of Camera Based on Concentric Circles

Detection of concentric circles for camera calibration

Absolute pose for cameras under flat refractive interfaces

Integrating camera calibration and hand-eye calibration into robot vision

Can a Fully Unconstrained Imaging Model Be Applied Effectively to Central Cameras?

Two-View Camera Housing Parameters Calibration for Multi-layer Flat Refractive Interface

Reconstruction-Free Parallel Planes Identification from Uncalibrated Images

The common self-polar triangle of concentric circles and its application to camera calibration

Similar Documents

Computing similarity transformations from only image correspondences

Perspective Reconstruction and Camera Auto-Calibration as Rectangular Polynomial Eigenvalue Problem

Determining Intrinsic and Pose Parameters of Camera Based on Concentric Circles

Detection of concentric circles for camera calibration

Absolute pose for cameras under flat refractive interfaces

Integrating camera calibration and hand-eye calibration into robot vision

Can a Fully Unconstrained Imaging Model Be Applied Effectively to Central Cameras?

Two-View Camera Housing Parameters Calibration for Multi-layer Flat Refractive Interface

Reconstruction-Free Parallel Planes Identification from Uncalibrated Images

The common self-polar triangle of concentric circles and its application to camera calibration