Research progress of camera calibration methods in vision system

Jun-ying TIAN; Ji-gang WU; Qian-cheng ZHAO

doi:10.37188/CJLCD.2021-0187

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Research progress of camera calibration methods in vision system

Image Processing | 更新时间：2021-12-10

- Research progress of camera calibration methods in vision system
- Chinese Journal of Liquid Crystals and Displays Vol. 36, Issue 12, Pages: 1674-1692(2021)
- 作者机构：
  
  湖南科技大学机械设备健康维护湖南省重点实验室, 湖南湘潭 411201
- 作者简介：
- 基金信息：
  
  Supported by National Natural Science Foundation of China(51775181)
- DOI：10.37188/CJLCD.2021-0187
  CLC： TP391.4
- Received：14 July 2021，
  
  Revised：04 August 2021，
  
  Published：2021-12
- 稿件说明：
移动端阅览
Jun-ying TIAN, Ji-gang WU, Qian-cheng ZHAO. Research progress of camera calibration methods in vision system[J]. Chinese journal of liquid crystals and displays, 2021, 36(12): 1674-1692.
DOI：

Jun-ying TIAN, Ji-gang WU, Qian-cheng ZHAO. Research progress of camera calibration methods in vision system[J]. Chinese journal of liquid crystals and displays, 2021, 36(12): 1674-1692. DOI： 10.37188/CJLCD.2021-0187.

摘要

摄像机标定是视觉系统中最为基础的环节，它利用摄像机成像原理来求解摄像机模型的内外参数，以便更好地实现视觉系统在实际中的应用。通过分析摄像机标定的特点，并结合国内外摄像机标定的发展现状，根据标定目标的空间维度将其分为三维标定、二维标定、一维标定和零维自标定方法。本文介绍了各摄像机标定方法的起源及发展，详细分析了各摄像机标定方法的基本原理，归纳总结了各类标定方法存在的优势与不足之处，并对标定技术的发展趋势做出了预测。在复杂的场景与运算量大的情况下，要以高精度、高效率、高鲁棒性等为主要研究内容，来进一步扩大适用范围、加强实用性，同时也要考虑到摄像机标定的成本问题，找出更合适的标定方法。

Abstract

Camera calibration is the most basic part of the vision system. It uses the camera imaging principle to solve the internal and external parameters of the camera model

so as to better realize the application of the vision system in practice. Based on the analysis of the characteristics of camera calibration and the development of camera calibration at home and abroad

the calibration objects are divided into three-dimensional calibration method

two-dimensional calibration method

one-dimensional calibration method and zero-dimensional self-calibration method. This paper introduces firstly the origin and development of each camera calibration method

then analyzes the basic principle of each camera calibration method in detail

and summarizes the advantages and disadvantages of each calibration method. The development trend of calibration technology is predicted. In the case of complex scene and large amount of computation

the main research contents should be high precision

high efficiency and high robustness

so as to further expand the scope of application and enhance the practicability. At the same time

the cost of camera calibration should also be taken into account

to find a more suitable calibration method.

关键词

Keywords

references

H C LIAO , H J WU . Automatic camera calibration and rectification methods . Measurement and Control , 2010 . 43 ( 8 ): 251 - 254 . DOI: 10.1177/002029401004300806 http://doi.org/10.1177/002029401004300806 .

冯月. 基于单目视觉的前方车辆检测和测距方法研究[D]. 北京: 北京化工大学, 2013. http://cdmd.cnki.com.cn/Article/CDMD-10010-1013266623.htm

FENG Y. Research on monocular vision based preceding vehicles detection and distance measurement[D]. Beijing: Beijing University of Chemical Technology, 2013. (in Chinese)

胡勇 , 刘强 , 王从军 , 等 . 双目视觉测量传感器研究 . 传感器技术 , 2005 . 24 ( 2 ): 86 - 88 . DOI: 10.3969/j.issn.1000-9787.2005.02.033 http://doi.org/10.3969/j.issn.1000-9787.2005.02.033 .

Y HU , Q LIU , C J WANG , 等 . Research on binocular stereo vision sensor . Journal of Transducer Technology , 2005 . 24 ( 2 ): 86 - 88 . DOI: 10.3969/j.issn.1000-9787.2005.02.033 http://doi.org/10.3969/j.issn.1000-9787.2005.02.033 .

田仕奇. 基于双目立体视觉移动机器人立体匹配方法的研究[D]. 长春: 吉林大学, 2014. http://cdmd.cnki.com.cn/article/cdmd-10183-1014270800.htm

TIAN S Q. Stereo matching method research based on mobile robot with binocular stereo vision[D]. Changchun: Jilin University, 2014. (in Chinese)

张琼 , 王志良 , 迟健男 , 等 . 基于平面镜面向双摄像机视线追踪系统的标定方法 . 光学学报 , 2011 . 31 ( 4 ): 0415002 DOI: 10.3788/AOS201131.0415002 http://doi.org/10.3788/AOS201131.0415002 .

Q ZHANG , Z L WANG , J N CHI , 等 . Calibration for gaze tracking system based on stereo cameras and plane mirror . Acta Optica Sinica , 2011 . 31 ( 4 ): 0415002 DOI: 10.3788/AOS201131.0415002 http://doi.org/10.3788/AOS201131.0415002 .

J Z GUAN , F DEBOEVERIE , M SLEMBROUCK , 等 . Extrinsic calibration of camera networks using a sphere . Sensors , 2015 . 15 ( 8 ): 18985 - 19005 . DOI: 10.3390/s150818985 http://doi.org/10.3390/s150818985 .

杨景豪 , 刘巍 , 刘阳 , 等 . 双目立体视觉测量系统的标定 . 光学精密工程 , 2016 . 24 ( 2 ): 300 - 308 . https://www.cnki.com.cn/Article/CJFDTOTAL-GXJM201602008.htm https://www.cnki.com.cn/Article/CJFDTOTAL-GXJM201602008.htm .

J H YANG , W LIU , Y LIU , 等 . Calibration of binocular vision measurement system . Optics and Precision Engineering , 2016 . 24 ( 2 ): 300 - 308 . https://www.cnki.com.cn/Article/CJFDTOTAL-GXJM201602008.htm https://www.cnki.com.cn/Article/CJFDTOTAL-GXJM201602008.htm .

Y I ABDEL-AZIZ , H M KARARA , M HAUCK . Direct linear transformation from comparator coordinates into object space coordinates in close-range photogrammetry . Photogrammetric Engineering & Remote Sensing , 2015 . 81 ( 2 ): 103 - 107 . DOI: 10.14358/PERS.81.2.103 http://doi.org/10.14358/PERS.81.2.103 .

C BROWND . Close-range camera calibration . Photogramm. Eng. , 1971 . 37 ( 8 ): 855 - 866 . http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.14.6358 http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.14.6358 .

D C BROWN . Decentering distortion of lenses . Photogram. Eng. , 1966 . 32 ( 3 ): 444 - 462 . http://ci.nii.ac.jp/naid/10009007762 http://ci.nii.ac.jp/naid/10009007762 .

K W WONG . Mathematical formulation and digital analysis in close-range photogrammetry . Photogrammetric Engineering and Remote Sensing , 1975 . 44 ( 11 ): 1355 - 1373 . DOI: 10.1016/0031-0182(75)90008-5 http://doi.org/10.1016/0031-0182(75)90008-5 .

F C WU , Z Y HU , H J ZHU . Camera calibration with moving one-dimensional objects . Pattern Recognition , 2005 . 38 ( 5 ): 755 - 765 . DOI: 10.1016/j.patcog.2004.11.005 http://doi.org/10.1016/j.patcog.2004.11.005 .

J HEIKKILA . Geometric camera calibration using circular control points . IEEE Transactions on Pattern Analysis and Machine Intelligence , 2000 . 22 ( 10 ): 1066 - 1077 . DOI: 10.1109/34.879788 http://doi.org/10.1109/34.879788 .

Z Y ZHANG . A flexible new technique for camera calibration . IEEE Transactions on Pattern Analysis and Machine Intelligence , 2000 . 22 ( 11 ): 1330 - 1334 . DOI: 10.1109/34.888718 http://doi.org/10.1109/34.888718 .

Z Y ZHANG . Camera calibration with one-dimensional objects . IEEE Transactions on Pattern Analysis and Machine Intelligence , 2004 . 26 ( 7 ): 892 - 899 . DOI: 10.1109/TPAMI.2004.21 http://doi.org/10.1109/TPAMI.2004.21 .

J JIN , X F LI . Efficient camera self-calibration method based on the absolute dual quadric . Journal of the Optical Society of America A , 2013 . 30 ( 3 ): 287 - 292 . DOI: 10.1364/JOSAA.30.000287 http://doi.org/10.1364/JOSAA.30.000287 .

赵成运. 基于立体靶标的多摄像机标定方法研究[D]. 合肥: 合肥工业大学, 2016. http://cdmd.cnki.com.cn/Article/CDMD-10359-1016194690.htm

ZHAO C Y. Research on multi-cameras calibration method based on spherical targets[D]. Hefei: Hefei University of Technology, 2016. (in Chinese)

余寰. 多面立体靶标的多相机标定方法研究[D]. 合肥: 合肥工业大学, 2018. http://cdmd.cnki.com.cn/Article/CDMD-10359-1018133166.htm

YU H. The study on multi-camrea calibration using multi-plane 3D target[D]. Hefei: Hefei University of Technology, 2018. (in Chinese)

王子辰 , 戴明 , 汪永阳 , 等 . 一种基于虚拟立体靶标的线阵相机标定方法 . 光电子·激光 , 2013 . 24 ( 5 ): 867 - 873 . https://www.cnki.com.cn/Article/CJFDTOTAL-GDZJ201305006.htm https://www.cnki.com.cn/Article/CJFDTOTAL-GDZJ201305006.htm .

Z C WANG , M DAI , Y Y WANG , 等 . A line-scan camera calibration method based on virtual stereo pattern . Journal of Optoelectronics·Laser , 2013 . 24 ( 5 ): 867 - 873 . https://www.cnki.com.cn/Article/CJFDTOTAL-GDZJ201305006.htm https://www.cnki.com.cn/Article/CJFDTOTAL-GDZJ201305006.htm .

TSAI R Y. An efficient and accurate camera calibration technique for 3D machine vision[C]// Proceedings of IEEE Conference on Computer Vision and Pattern Recognition . Miami Beach: IEEE, 1986: 364-374.

R Y TSAI . A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses . IEEE Journal on Robotics and Automation , 1987 . 3 ( 4 ): 323 - 344 . DOI: 10.1109/JRA.1987.1087109 http://doi.org/10.1109/JRA.1987.1087109 .

DAUCHER N, DHOME M, LAPRESTÉ J T. Camera calibration from spheres images[C]//3 rd European Conference on Computer Vision . Stockholm: Springer, 1994: 447-454.

TERAMOTO H, XU G. Camera calibration by a single image of balls: From conics to the absolute conic[C]// Proceedings of the 5 th Asian Conference on Computer Vision . Melbourne, 2002: 499-506.

X H YING , Z Y HU . Catadioptric camera calibration using geometric invariants . IEEE Transactions on Pattern Analysis and Machine Intelligence , 2004 . 26 ( 10 ): 1260 - 1271 . DOI: 10.1109/TPAMI.2004.79 http://doi.org/10.1109/TPAMI.2004.79 .

陈刚 , 车仁生 , 叶东 , 等 . 一种基于立体模板的双目视觉传感器现场标定方法 . 光学精密工程 , 2004 . 12 ( 6 ): 626 - 631 . DOI: 10.3321/j.issn:1004-924X.2004.06.014 http://doi.org/10.3321/j.issn:1004-924X.2004.06.014 .

G CHEN , R S CHE , D YE , 等 . Stereo vision sensor field calibration method based on volume template . Optics and Precision Engineering , 2004 . 12 ( 6 ): 626 - 631 . DOI: 10.3321/j.issn:1004-924X.2004.06.014 http://doi.org/10.3321/j.issn:1004-924X.2004.06.014 .

X H YING , H B ZHA . Geometric interpretations of the relation between the image of the absolute conic and sphere images . IEEE Transactions on Pattern Analysis and Machine Intelligence , 2006 . 28 ( 12 ): 2031 - 2036 . DOI: 10.1109/TPAMI.2006.245 http://doi.org/10.1109/TPAMI.2006.245 .

H ZHANG , K Y K WONG , G Q ZHANG . Camera calibration from images of spheres . IEEE Transactions on Pattern Analysis and Machine Intelligence , 2007 . 29 ( 3 ): 499 - 502 . DOI: 10.1109/TPAMI.2007.45 http://doi.org/10.1109/TPAMI.2007.45 .

K Y K WONG , G Q ZHANG , Z H CHEN . A stratified approach for camera calibration using spheres . IEEE Transactions on Image Processing , 2011 . 20 ( 2 ): 305 - 316 . DOI: 10.1109/TIP.2010.2063035 http://doi.org/10.1109/TIP.2010.2063035 .

P C SU , J SHEN , W X XU , 等 . A fast and robust extrinsic calibration for RGB-D camera networks . Sensors , 2018 . 18 ( 1 ): 235 DOI: 10.3390/s18010235 http://doi.org/10.3390/s18010235 .

S CHIODINI , M PERTILE , R GIUBILATO , 等 . Experimental evaluation of a camera rig extrinsic calibration method based on retro-reflective markers detection . Measurement , 2019 . 140 47 - 55 . DOI: 10.1016/j.measurement.2019.03.036 http://doi.org/10.1016/j.measurement.2019.03.036 .

G E HEALEY , R KONDEPUDY . Radiometric CCD camera calibration and noise estimation . IEEE Transactions on Pattern Analysis and Machine Intelligence , 1994 . 16 ( 3 ): 267 - 276 . DOI: 10.1109/34.276126 http://doi.org/10.1109/34.276126 .

雷彦章 , 赵慧洁 , 姜宏志 . 一种单双目视觉系统结合的三维测量方法 . 光学学报 , 2008 . 28 ( 7 ): 1338 - 1342 . DOI: 10.3321/j.issn:0253-2239.2008.07.023 http://doi.org/10.3321/j.issn:0253-2239.2008.07.023 .

Y Z LEI , H J ZHAO , H Z JIANG . A three-dimensional measurement method by combining binocular and monocular vision systems . Acta Optica Sinica , 2008 . 28 ( 7 ): 1338 - 1342 . DOI: 10.3321/j.issn:0253-2239.2008.07.023 http://doi.org/10.3321/j.issn:0253-2239.2008.07.023 .

STURM P F, MAYBANK S J. On plane-based camera calibration: a general algorithm, singularities, applications[C]//1999 IEEE Computer Society Conference on Computer Vision and Pattern Recognition ( Cat. No PR 00149). Fort Collins: IEEE, 1999: 432-437.

祝海江 , 李仕刚 . 基于2D模板与3D包围式标定块的鱼眼相机标定 . 仪器仪表学报 , 2008 . 29 ( 7 ): 1512 - 1516 . DOI: 10.3321/j.issn:0254-3087.2008.07.035 http://doi.org/10.3321/j.issn:0254-3087.2008.07.035 .

H J ZHU , S G LI . 2D pattern vs. surrounding 3D pattern for fisheye camera calibration . Chinese Journal of Scientific Instrument , 2008 . 29 ( 7 ): 1512 - 1516 . DOI: 10.3321/j.issn:0254-3087.2008.07.035 http://doi.org/10.3321/j.issn:0254-3087.2008.07.035 .

孙军华 , 刘震 , 张广军 , 等 . 基于柔性立体靶标的摄像机标定 . 光学学报 , 2009 . 29 ( 12 ): 3433 - 3439 . DOI: 10.3788/AOS20092912.3433 http://doi.org/10.3788/AOS20092912.3433 .

J H SUN , Z LIU , G J ZHANG , 等 . Camera calibration based on flexible 3D target . Acta Optica Sinica , 2009 . 29 ( 12 ): 3433 - 3439 . DOI: 10.3788/AOS20092912.3433 http://doi.org/10.3788/AOS20092912.3433 .

刘震 , 尚砚娜 . 立体视觉传感器的一种灵活靶标新标定方法 . 光学学报 , 2013 . 33 ( 3 ): 0315001 DOI: 10.3788/AOS201333.0315001 http://doi.org/10.3788/AOS201333.0315001 .

Z LIU , Y N SHANG . Novel calibration method for stereo vision sensor using flexible target . Acta Optica Sinica , 2013 . 33 ( 3 ): 0315001 DOI: 10.3788/AOS201333.0315001 http://doi.org/10.3788/AOS201333.0315001 .

L HUANG , F P DA , S Y GAI . Research on multi-camera calibration and point cloud correction method based on three-dimensional calibration object . Optics and Lasers in Engineering , 2019 . 115 32 - 41 . DOI: 10.1016/j.optlaseng.2018.11.005 http://doi.org/10.1016/j.optlaseng.2018.11.005 .

T SVOBODA , D MARTINEC , T PAJDLA . A convenient multicamera self-calibration for virtual environments . Presence: Teleoperators and Virtual Environments , 2005 . 14 ( 4 ): 407 - 422 . DOI: 10.1162/105474605774785325 http://doi.org/10.1162/105474605774785325 .

杨博文 , 张丽艳 , 叶南 , 等 . 面向大视场视觉测量的摄像机标定技术 . 光学学报 , 2012 . 32 ( 9 ): 0915001 https://www.cnki.com.cn/Article/CJFDTOTAL-GXXB201209025.htm https://www.cnki.com.cn/Article/CJFDTOTAL-GXXB201209025.htm .

B W YANG , L Y ZHANG , N YE , 等 . Camera calibration technique of wide-area vision measurement . Acta Optica Sinica , 2012 . 32 ( 9 ): 0915001 https://www.cnki.com.cn/Article/CJFDTOTAL-GXXB201209025.htm https://www.cnki.com.cn/Article/CJFDTOTAL-GXXB201209025.htm .

SHEN E, CARR G P K, THOMAS P, et al. Non-planar target for multi-camera network calibration[C]// SENSORS , 2009 IEEE . Christchurch: IEEE, 2009: 1410-1414.

H A MARTINS , J R BIRK , R B KELLEY . Camera models based on data from two calibration planes . Computer Graphics and Image Processing , 1981 . 17 ( 2 ): 173 - 180 . DOI: 10.1016/0146-664X(81)90024-1 http://doi.org/10.1016/0146-664X(81)90024-1 .

R HORAUD , R MOHR , B LORECKI . On single-scanline camera calibration . IEEE Transactions on Robotics and Automation , 1993 . 9 ( 1 ): 71 - 75 . DOI: 10.1109/70.210796 http://doi.org/10.1109/70.210796 .

H Q ZHUANG , R HORAUD . A note on "on single-scanline camera calibration"[and reply] . IEEE Transactions on Robotics and Automation , 1995 . 11 ( 3 ): 470 - 471 . DOI: 10.1109/70.388793 http://doi.org/10.1109/70.388793 .

E TRUCCO , A VERRI . Introductory Techniques for 3-D Computer Vision , : Upper Saddle River Prentice Hall , 1998 . 176 - 198 .

MEI C, RIVES P. Single view point omnidirectional camera calibration from planar grids[C]// Proceedings 2007 IEEE International Conference on Robotics and Automation . Rome: IEEE, 2007: 3945-3950.

ZHANG Z Y. Flexible camera calibration by viewing a plane from unknown orientations[C]// Proceedings of the Seventh IEEE International Conference on Computer Vision . Kerkyra: IEEE, 1999: 666-673.

SCARAMUZZA D, MARTINELLI A, SIEGWART R. A flexible technique for accurate omnidirectional camera calibration and structure from motion[C]// Fourth IEEE International Conference on Computer Vision Systems ( ICVS '06). New York: IEEE, 2006: 45.

J DRARéNI , S ROY , P STURM . Plane-based calibration for linear cameras . International Journal of Computer Vision , 2011 . 91 ( 2 ): 146 - 156 . DOI: 10.1007/s11263-010-0349-3 http://doi.org/10.1007/s11263-010-0349-3 .

卜鹏辉 , 赵宏 , 谷飞飞 , 等 . 一种基于平面靶标的全自动标定方法 . 光学学报 , 2014 . 34 ( 10 ): 1015004 DOI: 10.3788/AOS201434.1015004 http://doi.org/10.3788/AOS201434.1015004 .

P H BU , H ZHAO , F F GU , 等 . A fully automatic camera calibration method based on planar target . Acta Optica Sinica , 2014 . 34 ( 10 ): 1015004 DOI: 10.3788/AOS201434.1015004 http://doi.org/10.3788/AOS201434.1015004 .

赵亚凤 , 胡峻峰 . 一种双正交消隐点的双目相机标定方法 . 液晶与显示 , 2016 . 31 ( 10 ): 958 - 966 . DOI: 10.3788/YJYXS20163110.0958 http://doi.org/10.3788/YJYXS20163110.0958 .

Y F ZHAO , J F HU . Binocular self calibration using two pairs of orthogonal vanishing points . Chinese Journal of Liquid Crystals and Displays , 2016 . 31 ( 10 ): 958 - 966 . DOI: 10.3788/YJYXS20163110.0958 http://doi.org/10.3788/YJYXS20163110.0958 .

H HE , H Y LI , Y B HUANG , 等 . A novel efficient camera calibration approach based on K-SVD sparse dictionary learning . Measurement , 2020 . 159 107798 DOI: 10.1016/j.measurement.2020.107798 http://doi.org/10.1016/j.measurement.2020.107798 .

S SELS , B RIBBENS , S VANLANDUIT , 等 . Camera calibration using gray code . Sensors , 2019 . 19 ( 2 ): 246 DOI: 10.3390/s19020246 http://doi.org/10.3390/s19020246 .

HEIKKILA J, SILVÉN O. A four-step camera calibration procedure with implicit image correction[C]// Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition . San Juan: IEEE, 1997: 1106-1112.

MATEOS G G. A camera calibration technique using targets of circular features[C]//5th Ibero-America Symposium on Pattern Recognition (SIARP). Lisbon, 2000.

D J KANG , W H LEE . Automatic circle pattern extraction and camera calibration using fast adaptive binarization and plane homography . International Journal of Precision Engineering and Manufacturing , 2010 . 11 ( 1 ): 13 - 21 . DOI: 10.1007/s12541-010-0002-7 http://doi.org/10.1007/s12541-010-0002-7 .

单宝华 , 袁文厅 , 刘洋 . 一种基于实心圆靶标的立体视觉系统标定方法 . 光学学报 , 2016 . 36 ( 9 ): 0915001 DOI: 10.3788/AOS201636.0915001 http://doi.org/10.3788/AOS201636.0915001 .

B H SHAN , W T YUAN , Y LIU . A calibration method for stereovision system based on solid circle target . Acta Optica Sinica , 2016 . 36 ( 9 ): 0915001 DOI: 10.3788/AOS201636.0915001 http://doi.org/10.3788/AOS201636.0915001 .

X C WANG , Y ZHAO , F L YANG . Camera calibration method based on Pascal's theorem . International Journal of Advanced Robotic Systems , 2019 . 16 ( 3 .

孙楠 , 张丽艳 , 叶南 , 等 . 基于十字靶标的双目立体测量系统标定 . 光学学报 , 2012 . 32 ( 4 ): 0412001 DOI: 10.3788/AOS201232.0412001 http://doi.org/10.3788/AOS201232.0412001 .

N SUN , L Y ZHANG , N YE , 等 . Calibration of binocular stereo measurement system based on calibration cross . Acta Optica Sinica , 2012 . 32 ( 4 ): 0412001 DOI: 10.3788/AOS201232.0412001 http://doi.org/10.3788/AOS201232.0412001 .

杨长江 , 孙凤梅 , 胡占义 . 基于平面二次曲线的摄像机标定 . 计算机学报 , 2000 . 23 ( 5 ): 541 - 547 . DOI: 10.3321/j.issn:0254-4164.2000.05.014 http://doi.org/10.3321/j.issn:0254-4164.2000.05.014 .

C J YANG , F M SUN , Z Y HU . Planar conic based camera calibration . Chinese Journal of Computers , 2000 . 23 ( 5 ): 541 - 547 . DOI: 10.3321/j.issn:0254-4164.2000.05.014 http://doi.org/10.3321/j.issn:0254-4164.2000.05.014 .

ZHU Q D, XU C Y, CAI C T. Calibration method for misaligned catadioptric camera based on planar conic[C]// Proceedings of SPIE Fifth International Conference on Machine Vision ( ICMV 2012): Computer Vision , Image Analysis and Processing . Wuhan: SPIE, 2013: 87830H.

孟晓桥 , 胡占义 . 一种新的基于圆环点的摄像机自标定方法 . 软件学报 , 2002 . 13 ( 5 ): 957 - 965 . DOI: 10.1016/S0031-3203(02)00225-X http://doi.org/10.1016/S0031-3203(02)00225-X .

X Q MENG , Z Y HU . A new easy camera calibration technique based on circular points . Journal of Software , 2002 . 13 ( 5 ): 957 - 965 . DOI: 10.1016/S0031-3203(02)00225-X http://doi.org/10.1016/S0031-3203(02)00225-X .

X Q MENG , Z Y HU . A new easy camera calibration technique based on circular points . Pattern Recognition , 2003 . 36 ( 5 ): 1155 - 1164 . DOI: 10.1016/S0031-3203(02)00225-X http://doi.org/10.1016/S0031-3203(02)00225-X .

C XU , Z YUE , S N FU . Linear determination of a camera's intrinsic parameters using two intersecting circles . International Journal of Advanced Robotic Systems , 2014 . 11 ( 3 ): 38 DOI: 10.5772/58330 http://doi.org/10.5772/58330 .

B CHEN , B PAN . Camera calibration using synthetic random speckle pattern and digital image correlation . Optics and Lasers in Engineering , 2020 . 126 105919 DOI: 10.1016/j.optlaseng.2019.105919 http://doi.org/10.1016/j.optlaseng.2019.105919 .

HE X J, ZHANG H F, HUR N, et al. Complete camera calibration using line-shape objects[C]// TENCON 2006-2006 IEEE Region 10 Conference . Hong Kong, China: IEEE, 2006: 1-4.

J A DE FRANCA , M R STEMMER , M B DE MFRANCA , 等 . Revisiting Zhang's 1D calibration algorithm . Pattern Recognition , 2010 . 43 ( 3 ): 1180 - 1187 . DOI: 10.1016/j.patcog.2009.08.001 http://doi.org/10.1016/j.patcog.2009.08.001 .

K F SHI , Q L DONG , F C WU . Weighted similarity-invariant linear algorithm for camera calibration with rotating 1-D objects . IEEE Transactions on Image Processing , 2012 . 21 ( 8 ): 3806 - 3812 . DOI: 10.1109/TIP.2012.2195013 http://doi.org/10.1109/TIP.2012.2195013 .

史坤峰 , 吴福朝 . 相机一维标定的最优加权线性算法 . 计算机辅助设计与图形学学报 , 2014 . 26 ( 8 ): 1251 - 1257 . DOI: 10.3969/j.issn.1003-9775.2014.08.006 http://doi.org/10.3969/j.issn.1003-9775.2014.08.006 .

K F SHI , F C WU . Optimally weighted linear algorithm for camera calibration with 1D objects . Journal of Computer-Aided Design & Computer Graphics , 2014 . 26 ( 8 ): 1251 - 1257 . DOI: 10.3969/j.issn.1003-9775.2014.08.006 http://doi.org/10.3969/j.issn.1003-9775.2014.08.006 .

L WANG , F Q DUAN , K LU . An adaptively weighted algorithm for camera calibration with 1D objects . Neurocomputing , 2015 . 149 1552 - 1559 . DOI: 10.1016/j.neucom.2014.08.037 http://doi.org/10.1016/j.neucom.2014.08.037 .

L WANG , W W WANG , C SHEN , 等 . A convex relaxation optimization algorithm for multi-camera calibration with 1D objects . Neurocomputing , 2016 . 215 82 - 89 . DOI: 10.1016/j.neucom.2015.07.158 http://doi.org/10.1016/j.neucom.2015.07.158 .

HAMMARSTEDT P, STURM P, HEYDEN A. Degenerate cases and closed-form solutions for camera calibration with one-dimensional objects[C]// Tenth IEEE International Conference on Computer Vision ( ICCV '05) Volume 1. Beijing: IEEE, 2005: 317-324.

ZHAO Z J, LIU Y C. Practical multi-camera calibration algorithm with 1D objects for virtual environments[C]// 2008 IEEE International Conference on Multimedia and Expo . Hannover: IEEE, 2008: 1197-1200.

W J MA , Y C LIU . Camera calibration with 1D rotating objects . Journal of Shanghai Jiaotong University (Science) , 2009 . 14 ( 5 ): 518 - 525 . DOI: 10.1007/s12204-009-0518-0 http://doi.org/10.1007/s12204-009-0518-0 .

吕耀文 , 刘维 , 徐熙平 , 等 . 一种新的摄像机一维标定方法 . 光学学报 , 2016 . 36 ( 12 ): 1215005 DOI: 10.3788/AOS201636.1215005 http://doi.org/10.3788/AOS201636.1215005 .

Y W LV , W LIU , X P XU , 等 . A novel camera one-dimensional calibration method . Acta Optica Sinica , 2016 . 36 ( 12 ): 1215005 DOI: 10.3788/AOS201636.1215005 http://doi.org/10.3788/AOS201636.1215005 .

Y W LV , W LIU , X P XU . Methods based on 1D homography for camera calibration with 1D objects . Applied Optics , 2018 . 57 ( 9 ): 2155 - 2164 . DOI: 10.1364/AO.57.002155 http://doi.org/10.1364/AO.57.002155 .

F QI , Q H LI , Y P LUO , 等 . Camera calibration with one-dimensional objects moving under gravity . Pattern Recognition , 2007 . 40 ( 1 ): 343 - 345 . DOI: 10.1016/j.patcog.2006.06.029 http://doi.org/10.1016/j.patcog.2006.06.029 .

F QI , Q H LI , Y P LUO , 等 . Constraints on general motions for camera calibration with one-dimensional objects . Pattern Recognition , 2007 . 40 ( 6 ): 1785 - 1792 . DOI: 10.1016/j.patcog.2006.11.001 http://doi.org/10.1016/j.patcog.2006.11.001 .

王亮 , 吴福朝 . 基于一维标定物的多摄像机标定 . 自动化学报 , 2007 . 33 ( 3 ): 225 - 231 . DOI: 10.1360/aas-007-0225 http://doi.org/10.1360/aas-007-0225 .

L WANG , F C WU . Multi-camera calibration based on 1D calibration object . Acta Automatica Sinica , 2007 . 33 ( 3 ): 225 - 231 . DOI: 10.1360/aas-007-0225 http://doi.org/10.1360/aas-007-0225 .

邓小明 , 吴福朝 , 段福庆 , 等 . 基于一维标定物的反射折射摄像机标定方法 . 计算机学报 , 2007 . 30 ( 5 ): 737 - 747 . DOI: 10.3321/j.issn:0254-4164.2007.05.004 http://doi.org/10.3321/j.issn:0254-4164.2007.05.004 .

X M DENG , F C WU , F Q DUAN , 等 . Catadioptric camera calibration with one-dimensional objects . Chinese Journal of Computers , 2007 . 30 ( 5 ): 737 - 747 . DOI: 10.3321/j.issn:0254-4164.2007.05.004 http://doi.org/10.3321/j.issn:0254-4164.2007.05.004 .

付强, 全权, 蔡开元. 基于自由运动的一维标定物的多摄像机标定[C]//中国自动化学会控制理论专业委员会D卷. 烟台: 中国自动化学会控制理论专业委员会, 2011: 929-934.

FU Q, QUAN Q, CAI K Y. Multi-camera calibration based on freely moving one dimensional object[C]// Volume D, Control Theory Committee , Chinese Automation Society . Yantai: Professional Committee of Control Theory of Chinese Automation Society: Professional Committee of Control Theory of Chinese automation society, 2011: 929-934. (in Chinese)

J A DE FRANçA , M R STEMMER , M B DE M FRANçA , 等 . A new robust algorithmic for multi-camera calibration with a 1D object under general motions without prior knowledge of any camera intrinsic parameter . Pattern Recognition , 2012 . 45 ( 10 ): 3636 - 3647 . DOI: 10.1016/j.patcog.2012.04.006 http://doi.org/10.1016/j.patcog.2012.04.006 .

付仲良 , 周凡 , 谢艳芳 , 等 . 基于像对基础矩阵的多像一维标定方法 . 光学学报 , 2013 . 33 ( 6 ): 0615003 DOI: 10.3788/AOS201333.0615003 http://doi.org/10.3788/AOS201333.0615003 .

Z L FU , F ZHOU , Y F XIE , 等 . One-dimensional multi-camera calibration based on fundamental matrix . Acta Optica Sinica , 2013 . 33 ( 6 ): 0615003 DOI: 10.3788/AOS201333.0615003 http://doi.org/10.3788/AOS201333.0615003 .

王波 , 孙凤梅 . 再论一维摄像机标定 . 计算机辅助设计与图形学学报 , 2014 . 26 ( 3 ): 452 - 456 . DOI: 10.3969/j.issn.1003-9775.2014.03.016 http://doi.org/10.3969/j.issn.1003-9775.2014.03.016 .

B WANG , F M SUN . 1-D camera calibration revisited . Journal of Computer-Aided Design & Computer Graphics , 2014 . 26 ( 3 ): 452 - 456 . DOI: 10.3969/j.issn.1003-9775.2014.03.016 http://doi.org/10.3969/j.issn.1003-9775.2014.03.016 .

I MIYAGAWA , H ARAI , H KOIKE . Simple camera calibration from a single image using five points on two orthogonal 1-D objects . IEEE Transactions on Image Processing , 2010 . 19 ( 6 ): 1528 - 1538 . DOI: 10.1109/TIP.2010.2042118 http://doi.org/10.1109/TIP.2010.2042118 .

薛俊鹏 , 苏显渝 . 基于两个正交一维物体的单幅图像相机标定 . 光学学报 , 2012 . 32 ( 1 ): 0115001 DOI: 10.3788/AOS201232.0115001 http://doi.org/10.3788/AOS201232.0115001 .

J P XUE , X Y SU . Camera calibration with single image based on two orthogonal one-dimensional objects . Acta Optica Sinica , 2012 . 32 ( 1 ): 0115001 DOI: 10.3788/AOS201232.0115001 http://doi.org/10.3788/AOS201232.0115001 .

杨珍 , 孙军华 , 吴子彦 , 等 . 基于双一维靶标的摄像机标定方法 . 光电子·激光 , 2010 . 21 ( 3 ): 411 - 414 . https://www.cnki.com.cn/Article/CJFDTOTAL-GDZJ201003023.htm https://www.cnki.com.cn/Article/CJFDTOTAL-GDZJ201003023.htm .

Z YANG , J H SUN , Z Y WU , 等 . A new camera calibration method based on two 1-D targets . Journal of Optoelectronics·Laser , 2010 . 21 ( 3 ): 411 - 414 . https://www.cnki.com.cn/Article/CJFDTOTAL-GDZJ201003023.htm https://www.cnki.com.cn/Article/CJFDTOTAL-GDZJ201003023.htm .

HARTLEY R I. Estimation of relative camera positions for uncalibrated cameras[C]// Proceeding of the 2 nd European Conference on Computer Vision . Santa: Springer, 1992: 579-587.

FAUGERAS O D, LUONG Q T, MAYBANK S J. Camera self-calibration: theory and experiments[C]// Proceeding of the 2 nd European Conference on Computer Vision . Santa: Springer, 1992: 321-334.

S J MAYBANK , O D FAUGERAS . A theory of self-calibration of a moving camera . International Journal of Computer Vision , 1992 . 8 ( 2 ): 123 - 151 . DOI: 10.1007/BF00127171 http://doi.org/10.1007/BF00127171 .

ZELLER C, FAUGERAS O. Camera self-calibration from video sequences: the Kruppa equations revisited[R]. Sophia Antipolis: INRIA, 1996.

Q T LUONG , O D FAUGERAS . Self-calibration of a moving camera from point correspondences and fundamental matrices . International Journal of Computer Vision , 1997 . 22 ( 3 ): 261 - 289 . DOI: 10.1023/A:1007982716991 http://doi.org/10.1023/A:1007982716991 .

S DE MA . A self-calibration technique for active vision systems . IEEE Transactions on Robotics and Automation , 1996 . 12 ( 1 ): 114 - 120 . DOI: 10.1109/70.481755 http://doi.org/10.1109/70.481755 .

杨长江 , 汪威 , 胡占义 . 一种基于主动视觉的摄像机内参数自定标方法 . 计算机学报 , 1998 . 21 ( 5 ): 428 - 435 . DOI: 10.3321/j.issn:0254-4164.1998.05.006 http://doi.org/10.3321/j.issn:0254-4164.1998.05.006 .

C J YANG , W WANG , Z Y HU . An active vision based camera intrinsic parameters self-calibration technique . Chinese Journal of Computers , 1998 . 21 ( 5 ): 428 - 435 . DOI: 10.3321/j.issn:0254-4164.1998.05.006 http://doi.org/10.3321/j.issn:0254-4164.1998.05.006 .

DE AGAPITO L, HAYMAN E, REID I. Self-calibration of a rotating camera with varying intrinsic parameters[C]// Proceedings of the British Machine Vision Conference . Southampton: BMVC Press, 1998: 1-10.

HARTLEY R I, HAYMAN E, DE AGAPITO L, et al. Camera calibration and the search for infinity[C]// Proceedings of the Seventh IEEE International Conference on Computer Vision . Kerkyra: IEEE, 1999: 510-517.

FAUGERAS O, QUAN L, STURM P. Self-calibration of a 1D projective camera and its application to the self-calibration of a 2D projective camera[C]// Proceeding of the 5th European Conference on Computer Vision . Freiburg: Springer, 1998: 36-52.

R I HARTLEY . Self-calibration of stationary cameras . International Journal of Computer Vision , 1997 . 22 ( 1 ): 5 - 23 . DOI: 10.1023/A:1007957826135 http://doi.org/10.1023/A:1007957826135 .

Y LI , Y S HUNG , S LEE . A stratified self-calibration method for circular motion in spite of varying intrinsic parameters . Image and Vision Computing , 2008 . 26 ( 6 ): 731 - 739 . DOI: 10.1016/j.imavis.2007.12.007 http://doi.org/10.1016/j.imavis.2007.12.007 .

T ELAMSY , A HABED , B BOUFAMA . Self-calibration of stationary non-rotating zooming cameras . Image and Vision Computing , 2014 . 32 ( 3 ): 212 - 226 . DOI: 10.1016/j.imavis.2014.01.003 http://doi.org/10.1016/j.imavis.2014.01.003 .

CIPOLLA R, DRUMMOND T W, ROBERTSON D P. Camera calibration from vanishing points in image of architectural scenes[C]// The 10 th British Machine Vision Conference ( BMVC '99). Nottingham: BMVC, 1999: 382-391.

霍炬 , 杨卫 , 杨明 . 基于消隐点几何特性的摄像机自标定方法 . 光学学报 , 2010 . 30 ( 2 ): 465 - 472 . DOI: 10.3788/AOS20103002.0465 http://doi.org/10.3788/AOS20103002.0465 .

J HUO , W YANG , M YANG . A self-calibration technique based on the geometry property of the vanish point . Acta Optica Sinica , 2010 . 30 ( 2 ): 465 - 472 . DOI: 10.3788/AOS20103002.0465 http://doi.org/10.3788/AOS20103002.0465 .

Y ZHAO , J C LEI . A camera self-calibration method based on plane lattice and orthogonality . Telkomnika , 2013 . 11 ( 4 ): 767 - 774 . DOI: 10.12928/telkomnika.v11i4.1198 http://doi.org/10.12928/telkomnika.v11i4.1198 .

洪洋 , 孙秀霞 , 蔡鸣 , 等 . 基于正交消隐点无穷单应的摄像机内参数自标定方法 . 中国激光 , 2015 . 42 ( 12 ): 1208001 DOI: 10.3788/CJL201542.1208001 http://doi.org/10.3788/CJL201542.1208001 .

Y HONG , X X SUN , M CAI , 等 . An intrinsic parameters self-calibration technique based on infinite homography between orthogonal vanishing points . Chinese Journal of Lasers , 2015 . 42 ( 12 ): 1208001 DOI: 10.3788/CJL201542.1208001 http://doi.org/10.3788/CJL201542.1208001 .

M POLLEFEYS , R KOCH , L VAN GOOL . Self-calibration and metric reconstruction inspite of varying and unknown intrinsic camera parameters . International Journal of Computer Vision , 1999 . 32 ( 1 ): 7 - 25 . DOI: 10.1023/A:1008109111715 http://doi.org/10.1023/A:1008109111715 .

KANG S B. Catadioptric self-calibration[C]// Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 ( Cat. No. PR 00662). Hilton Head: IEEE, 2000: 201-207.

HEYDEN A, ASTROM K. Euclidean reconstruction from constant intrinsic parameters[C]// Proceedings of 13 th International Conference on Pattern Recognition . Vienna: IEEE, 1996: 339-343.

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