CAJ | 학술논문

精确可信三维重建受图像配准与矫正误差严重影响，为此，提出一种勿需矫正的高精度窄基线三维重建算法。先结合相位相关与曲线拟合原理获得高精度亚象元视差：对两幅图像傅里叶变换的归一化交叉能量谱进行傅里叶逆变换得到一峰值明显的矩阵，用高斯函数对峰值附近数据进行曲线拟合计算配准关系；再将视差累加并进行单位化寻找基线在成像面上的投影(主方向)；最后把视差在主方向投影，根据像点深度与该投影成正比例，进行场景三维欧氏重建。无矫正误差与高高精度视差计算使重建结果精确可信，对多类场景进行实验，证明该方法有优良的效果。
정학가신삼유중건수도상배준여교정오차엄중영향，위차，제출일충물수교정적고정도착기선삼유중건산법。선결합상위상관여곡선의합원리획득고정도아상원시차：대량폭도상부리협변환적귀일화교차능량보진행부리협역변환득도일봉치명현적구진，용고사함수대봉치부근수거진행곡선의합계산배준관계；재장시차루가병진행단위화심조기선재성상면상적투영(주방향)；최후파시차재주방향투영，근거상점심도여해투영성정비례，진행장경삼유구씨중건。무교정오차여고고정도시차계산사중건결과정학가신，대다류장경진행실험，증명해방법유우량적효과。
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.