Stratified Reconstruction of Bezier Curve and Surface Based on Uncalibrated Camera

摘要

According to the principle of orthogonal vanishing point in perspective projection study how to use the scene structure information to realize stratified reconstruction of spatial objects under fixed camera intrinsic parameters circumstance. Firstly, using the corresponding points of two images reverses Bezier curve of control points to solve the fundamental matrix. Secondly, using orthogonal vanishing points compute the homography matrix on the plane at infinity and affinely restructure the control points. Finally, using vanishing point constraint solves the camera intrinsic parameters, and further achieves metric reconstruction of control points. At the same time, Bezier surface is reconstructed by using the reconstruction method of Bezier curve. Experiments show that the algorithm is feasible.