Abstract:

The epipolar geometry is the intrinsic projective geometry between two images in stereo pairs. It is independent of scene structure, and only depends on the cameras’ internal parameters and relative pose. This geometry is usually motivated by considering the search for corresponding points in stereo matching algorithms, the benefit is that the search for the point corresponding need not cover the entire image plane but can be restricted to the epipolar line. The conventional methods have their own limitation that need to consider internal parameters and relative pose. This paper attempts to measure mathematical ability of Fundamental matrix to estimate epipolar line. The contents include, study the theoretical of the method of construction of the Fundamental matrix, algorithm to solved this matrix, determine the epipolar lines of stereoscopic image pairs based on the Fundamental matrix and defined test program on the epipolar line using stereoscopic image pairs matrix and applied for experimental data. The results showed the ability and importance of the application of the Fundamental matrix in photogrammetric technology