Rectification-Free 3-Dimensional Reconstruction Method based on Phase Correlation for Narrow Baseline Image Pairs

The credibility and precision of 3D reconstruction are sensitive to registration errors and rectification errors. To tackle this problem, we propose a high precision rectification-free narrow base-line 3D reconstruction algorithm. The high accuracy parallax is acquired by combining the phase-correlation and curve fitting method. A peak obvious matrix is obtained by inverse Fourier transform of normalized cross-power spectrum which is generated from Fourier transformations of two images. Measurements of disparity at sub-pixel level is obtained by curve fitting data near that peak. The base-line's projection on the imaging plane (called main-direction for short) is found by computing and normalizing the sum of all points' parallaxes. The 3D Euclidean reconstruction is obtained by projecting all points' parallaxes onto the main-direction because the depth value of each point is proportional to its projection. A large number of experiments on all kinds of scenes prove that the proposed algorithm can attain excellent reconstruction performance for stereo images with narrow baseline.