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基于改进球面透视投影的鱼眼图像畸变校正方法

  

  1. 1. 天津大学精密测试技术及仪器国家重点实验室,天津 300072;
    2. 天津大学微光机电系统技术教育部重点实验室,天津 300072
  • 出版日期:2018-02-28 发布日期:2018-02-06
  • 基金资助:
    天津大学自主创新基金项目(1706)

Fisheye Lens Distortion Correction Method Based on Improved Spherical Perspective Projection

  1. 1. State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, China;
    2. MOEMS Education Ministry Key Laboratory, Tianjin University, Tianjin 300072, China
  • Online:2018-02-28 Published:2018-02-06

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。

关键词: 球面透视投影, 扇区映射法, 评价指标, 畸变校正

Abstract: 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.

Key words: spherical perspective projection, sector mapping, evaluation index, distortion