1.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
[ "田俊英(1997-), 女, 山西兴县人, 硕士研究生, 2020年于晋中学院获得学士学位, 主要从事机器视觉测量方面的研究。E-mail: tianjunying12@163.com" ]
[ "伍济钢(1978-), 男, 湖南邵阳人, 博士, 教授, 2008年于华中科技大学获得博士学位, 主要从事机器视觉测量、机械动力学等方面的研究。E-mail: jwu@cvm.ac.cn" ]
扫 描 看 全 文
田俊英, 伍济钢, 赵前程. 视觉系统中摄像机标定方法研究现状及展望[J]. 液晶与显示, 2021,36(12):1674-1692.
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.
田俊英, 伍济钢, 赵前程. 视觉系统中摄像机标定方法研究现状及展望[J]. 液晶与显示, 2021,36(12):1674-1692. DOI: 10.37188/CJLCD.2021-0187.
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.
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。
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.
视觉系统三维标定法二维标定法一维标定法零维自标定
vision systemthree-dimensional calibrationtwo-dimensional calibrationone-dimensional calibrationzero-dimensional self-calibration
H C LIAO , H J WU . Automatic camera calibration and rectification methods . Measurement and Control , 2010 . 43 (8 ):251 -254 . DOI:10.1177/002029401004300806http://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.1000-9787.2005.02.033http://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.1000-9787.2005.02.033http://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/AOS201131.0415002http://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/AOS201131.0415002http://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/s150818985http://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.htmhttps://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.htmhttps://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.81.2.103http://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=10.1.1.14.6358http://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/10009007762http://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)90008-5http://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.2004.11.005http://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:10.1109/34.879788http://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:10.1109/34.888718http://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.2004.21http://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.30.000287http://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.htmhttps://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.htmhttps://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.1987.1087109http://doi.org/10.1109/JRA.1987.1087109.
DAUCHER N, DHOME M, LAPRESTÉ J T. Camera calibration from spheres images[C]//3rd 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 5th 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.2004.79http://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.2004.06.014http://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.2004.06.014http://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.2006.245http://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.2007.45http://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.2010.2063035http://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/s18010235http://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.2019.03.036http://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:10.1109/34.276126http://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:0253-2239.2008.07.023http://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:0253-2239.2008.07.023http://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 PR00149). 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:0254-3087.2008.07.035http://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:0254-3087.2008.07.035http://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/AOS20092912.3433http://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/AOS20092912.3433http://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/AOS201333.0315001http://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/AOS201333.0315001http://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.2018.11.005http://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:10.1162/105474605774785325http://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.htmhttps://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.htmhttps://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)90024-1http://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:10.1109/70.210796http://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:10.1109/70.388793http://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/s11263-010-0349-3http://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/AOS201434.1015004http://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/AOS201434.1015004http://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/YJYXS20163110.0958http://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/YJYXS20163110.0958http://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.2020.107798http://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/s19020246http://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/s12541-010-0002-7http://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/AOS201636.0915001http://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/AOS201636.0915001http://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/AOS201232.0412001http://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/AOS201232.0412001http://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:0254-4164.2000.05.014http://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:0254-4164.2000.05.014http://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-Xhttp://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-Xhttp://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-Xhttp://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:10.5772/58330http://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.2019.105919http://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.2009.08.001http://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.2012.2195013http://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.1003-9775.2014.08.006http://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.1003-9775.2014.08.006http://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.2014.08.037http://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.2015.07.158http://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/s12204-009-0518-0http://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/AOS201636.1215005http://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/AOS201636.1215005http://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.57.002155http://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.2006.06.029http://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.2006.11.001http://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-007-0225http://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-007-0225http://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:0254-4164.2007.05.004http://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:0254-4164.2007.05.004http://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.2012.04.006http://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/AOS201333.0615003http://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/AOS201333.0615003http://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.1003-9775.2014.03.016http://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.1003-9775.2014.03.016http://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.2010.2042118http://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/AOS201232.0115001http://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/AOS201232.0115001http://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.htmhttps://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.htmhttps://www.cnki.com.cn/Article/CJFDTOTAL-GDZJ201003023.htm.
HARTLEY R I. Estimation of relative camera positions for uncalibrated cameras[C]//Proceeding of the 2nd 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 2nd 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/BF00127171http://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:1007982716991http://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:10.1109/70.481755http://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:0254-4164.1998.05.006http://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:0254-4164.1998.05.006http://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:1007957826135http://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.2007.12.007http://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.2014.01.003http://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 10th 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/AOS20103002.0465http://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/AOS20103002.0465http://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.v11i4.1198http://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/CJL201542.1208001http://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/CJL201542.1208001http://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:1008109111715http://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. PR00662). Hilton Head: IEEE, 2000: 201-207.
HEYDEN A, ASTROM K. Euclidean reconstruction from constant intrinsic parameters[C]//Proceedings of 13th International Conference on Pattern Recognition. Vienna: IEEE, 1996: 339-343.
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.30.000287http://doi.org/10.1364/JOSAA.30.000287.
0
浏览量
37
下载量
1
CSCD
关联资源
相关文章
相关作者
相关机构