由灭点进行径向畸变的自动校正  

Automatic approach of lens radial distortion correction based on vanishing points

作　　者：刘丹[1] 刘学军[1] 王美珍[1] 

机构地区：[1]南京师范大学虚拟地理环境教育部重点实验室地理科学学院,南京210023

出　　处：《中国图象图形学报》2014年第3期407-413,共7页Journal of Image and Graphics

基　　金："十二五"国家支撑计划项目(2012BAH35B02);江苏省高校自然科学重大基础研究项目(10KJA420025);高等学校博士学科点专项科研基金项目(新教师类)(20133207120017)

摘　　要：目的镜头畸变影响着3维重建、几何量测等工作的质量。根据图像中的灭点几何约束条件,提出一种根据灭点进行弱径向畸变自动校正方法。方法为避免包含畸变中心参数的非线性模型优化结果的不稳定性,在求解径向畸变系数之后进一步对畸变中心进行优化。首先根据灭点几何约束条件建立关于灭点与径向畸变系数的非线性模型,使用Levenberg-Marquardt(LM)算法估计灭点坐标与径向畸变参数,然后根据质量评价准则对畸变中心和径向畸变系数进一步迭代优化;最后,通过真实图像对该方法的可行性进行分析验证。结果采用不同的数据对径向畸变进行了有效地校正,并采用校正后的数据进行了相机标定,标定结果相对于传统基于非量测校正方法有明显的提高。结论充分利用图像中的灭点属性,提出一种新的镜头径向畸变校正方法。实验结果表明,该方法能够有效地对径向畸变进行校正,并克服了传统基于非量测畸变校正方法的不稳定性。Objective Lens distortion, which is a fundamental problem in photogrammetry and computer vision, has serious effects on the three-dimensional reconstruction and on the geometric image measurements. Method In this paper, an auto- matic correction of weak radial distortions based on vanishing points from a single image is presented. In order to reduce the effects caused by the nonlinear model included in the distortion center, the distortion center is further optimized after the radial distortion is estimated. A nonlinear model of vanishing points and radial distortion, which can be estimated by the Levenberg-Marquardt （LM） algorithms, is established based on the geometric constraint of vanishing points; then, the distortion center and radial distortion is optimized by an iterative method based on a suitable quality measurement. At last, the presented method is tested and verified. Result Tile radial distortions using different data are all effectively corrected. Compared with the traditional methods based on non-metric distortion correction, the results of camera calibration after cor- rection are significantly improved. Conclusion The results of our experiments indicate that the approach can effectively cor- rect radial lens distortion, while effectively overcome the instability of the traditional methods based on non-metric distor- tion correction.

关 键 词：3维重建 灭点 径向畸变 畸变中心 自动校正 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]