基于改进球面透视投影的鱼眼图像畸变校正方法
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摘要
针对传统的球面透视投影计算量大、校正过程繁琐的问题,对主视图投影半径进行改进,以提高校正效率。首先采用Hough变换圆检测法求得鱼眼图像像主点和半径,并以一条弧线经过球面透视正向投影后拟合直线的相关系数作为评价指标,求得最优投影球面半径后校正鱼眼图像主视图;在此基础上提出一种新的2D校正法——扇区映射法,该方法从主视图边界在鱼眼图像中的投影轨迹出发,在极坐标中直接对鱼眼图像进行映射,得到校正后的周围视图。两个实例结果验证了所提方法的有效性与可行性。
The method of improving the constraints was proposed to enhance the efficiency of image rectification and reduce the large amount of calculation caused by using the traditional spherical perspective projection and intricacy of calibration. Firstly, identify the principal point of the fish-eye image and its radius by applying Hough transform circle detection to the characteristics of fish-eye image, and set the condition that a straight line comes out from the same arc through spherical perspective positive rejection as a constraint. The main view of fish-eye image could be rectified with the optimal projection sphere radius. Based on this method, a new two-dimension calibration method is put forward as sector mapping. Start from the trajectory projected from the edge of main view. Map the fish-eye image in polar coordinates and obtain the rectified surrounding view. Validate the effectiveness and feasibility of the method by two examples.
The method of improving the constraints was proposed to enhance the efficiency of image rectification and reduce the large amount of calculation caused by using the traditional spherical perspective projection and intricacy of calibration. Firstly, identify the principal point of the fish-eye image and its radius by applying Hough transform circle detection to the characteristics of fish-eye image, and set the condition that a straight line comes out from the same arc through spherical perspective positive rejection as a constraint. The main view of fish-eye image could be rectified with the optimal projection sphere radius. Based on this method, a new two-dimension calibration method is put forward as sector mapping. Start from the trajectory projected from the edge of main view. Map the fish-eye image in polar coordinates and obtain the rectified surrounding view. Validate the effectiveness and feasibility of the method by two examples.
引文
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[19]魏利胜,张平改,费敏锐.基于非线性方程的鱼眼图像畸变矫正方法研究[J].电子测量与仪器学报,2015,29(11):1584-1593.
[20]HUANG F,WANG Y,SHEN X,et al.Method for calibrating the fisheye distortion center[J].Applied Optics,2012,51(34):8169-8176.
[2]张海彬,余烨,李琳,等.基于视点纠正的鱼眼图像场景化漫游方法[J].图学学报,2014,35(3):435-441.
[3]杨玲,成运.应用经纬映射的鱼眼图像校正设计方法[J].工程图学学报,2010,31(6):19-22.
[4]斯闻豪,杨庚.一种基于经线模型的鱼眼图像校正算法[J].计算机技术与发展,2014,24(10):38-41,46.
[5]魏利胜,周圣文,张平改,等.基于双经度模型的鱼眼图像畸变矫正方法[J].仪器仪表学报,2015,36(2):377-385.
[6]周辉,罗飞,李慧娟,等.基于柱面模型的鱼眼影像校正方法的研究[J].计算机应用,2008,28(10):2664-2666.
[7]XU Y,ZHOU Q,GONG L,et al.High-speed simultaneous image distortion correction transformations for a multicamera cylindrical panorama real-time video system using FPGA[J].IEEE Transactions on,Circuits and Systems for Video Technology,2014,24(6):1061-1069.
[8]ZHANG B,WANG J,LI J,et al.Fisheye lens distortion correction based on an ellipsoidal function model[C]//2015 International Conference on,Industrial Informatics-Computing Technology,Intelligent Technology,Industrial Information Integration(ICIICII).New York:IEEE Press,2015:217-221.
[9]师平.鱼眼图像径向畸变校正的一种新方法[J].图学学报,2016,37(6):805-809.
[10]冯为嘉,张宝峰,曹作良.基于鱼眼镜头的全方位视觉参数标定与畸变矫正[J].天津大学学报,2011,44(5):417-424.
[11]陆懿,陈光梦,程松.基于神经网络的数字图像几何畸变矫正方法[J].计算机工程与设计,2007,28(17):4290-4292.
[12]WANG X,FENG W,LIU Q,et al.Calibration research on fish-eye lens[C]//2010 IEEE International Conference on,Information and Automation(ICIA).New York:IEEE Press,2010:385-390.
[13]HARTLEY R,KANG S B.Parameter-free radial distortion correction with center of distortion estimation[J].IEEE Transactions on,Pattern Analysis and Machine Intelligence,2007,29(8):1309-1321.
[14]BI G,ZHANG X,FENG W,et al.Error analysis of fisheye correction curve[C]//2015 IEEE International Conference on,Mechatronics and Automation(ICMA).New York:IEEE Press,2015:1659-1664.
[15]KANNALA J,BRANDT S S.A generic camera model and calibration method for conventional,wide-angle,and fish-eye lenses[J].IEEE Transactions on,Pattern Analysis and Machine Intelligence,2006,28(8):1335-1340.
[16]李牧,闫继宏,朱延河,等.一种改进的大津法在机器视觉中的应用[J].吉林大学学报:工学版,2008,38(4):913-918.
[17]常丹华,赵丹,杨峰明,等.提取鱼眼图像轮廓的算法改进及图像校正[J].激光与红外,2012,42(4):448-451.
[18]王红茹,丁文.一种改进的基于对称性的Hough变换圆检测算法[J].微电子学与计算机,2014,31(6):121-124.
[19]魏利胜,张平改,费敏锐.基于非线性方程的鱼眼图像畸变矫正方法研究[J].电子测量与仪器学报,2015,29(11):1584-1593.
[20]HUANG F,WANG Y,SHEN X,et al.Method for calibrating the fisheye distortion center[J].Applied Optics,2012,51(34):8169-8176.