关键词: 计算机视觉, 基本矩阵, 畸变校正, 迭代最小二乘, 分步求解

Abstract: To solve the problem of complicated distortion correction process and complicated calculation in the vision measurement system, method for camera distortion calibration and principal point coordinate determination based on fundamental matrix is proposed.Based on epipolar geometry and single parameter correction model, the equation of correspondent points is formed. To avoid the problem of instability result from too many unknown parameter, utilize a two-step iterative optimization strategy to solve the distortion parameter, the principle point coordinate and the fundamental matrix, respectively. Utilize the RANSAC robust estimation method to obtain the fundamental matrix and utilize iterative least square optimization method to get the distortion parameter and the principle point coordinate. Proposed method can obtain distortion parameter and the principle point coordinate only by using two images, which is robust to the noise, and can be applied to natural scene image calibration.

Key words: computer vision, fundamental matrix, distortion calibration, iterative least square, two-step strategy