利用本质矩阵对球形全景核线进行推导与分析

摘要

针对立体全景构模中缺乏核线特性规律分布研究及其可靠性检验的问题,通过对球形全景影像的投影几何进行深入分析,利用计算机多视几何的本质矩阵建立该类影像的核线几何模型,推导出数学方程及轨迹特性,并对其分布规律进行了统计分析,为核线在球形全景影像中的应用提供了理论基础.实验结果证明,文中推导的球形全景核线方程是正确的,在实际应用中是可行的.%The epipolar geometry is a core issue in computer vision and close-range digital photogrammetry, which could limit the search range to improve calculation efficiency and reliability of the matching. Cur-rently, epipolar constraint has achieved a wide range of applications in the traditional center of the projected images and satellite images. However, it made greater difficulties for panorama because of the different geometric modeling and projection transformation, especially lacking research on the distribution and reli-ability test of the epipolar line. So the paper constructs the panoramic epipolar geometry based on essential matrix, deriving the mathematical equations and its property, and analyzes spherical panoramic epipolar line distribution statistically, thus providing a theoretical basis for the spherical panoramic epipolar line used in computer vision and close-range digital photogrammetry. The experimental results show that the epipolar line is much validated, which can decrease search range, and something useful is obtained.