CAJ | 학술논문

针对单幅图像提取三维信息困难,设计了一种基于单幅图像的三维信息提取算法.该算法首先需要标定摄像机,得到摄像机从三维到二维的成像矩阵M3×4,并计算M3×4的伪逆矩阵M4+×3,其本质是通过最小二乘法求解矛盾方程组;利用M4+×3提取二维单幅图像中的三维信息,再把这些三维信息投影到一个平面上显示出来.实验表明,单幅图像目标物体必须满足共面等约束条件,从而可以对目标物体的三维信息做定性分析(定性视觉).此外,还对三维空间投影到二维图像的过程进行了理论推导,得出了如果没有足够的先验知识,成像过程不可逆的结论.
침대단폭도상제취삼유신식곤난,설계료일충기우단폭도상적삼유신식제취산법.해산법수선수요표정섭상궤,득도섭상궤종삼유도이유적성상구진M3×4,병계산M3×4적위역구진M4+×3,기본질시통과최소이승법구해모순방정조;이용M4+×3제취이유단폭도상중적삼유신식,재파저사삼유신식투영도일개평면상현시출래.실험표명,단폭도상목표물체필수만족공면등약속조건,종이가이대목표물체적삼유신식주정성분석(정성시각).차외,환대삼유공간투영도이유도상적과정진행료이론추도,득출료여과몰유족구적선험지식,성상과정불가역적결론.
A 3D information extraction algorithm based on a single image was designed in this paper for the difficulties of this research field,in this algorithm,camera imaging matrix M3×4 was obtained by camera calibration firstly,the pseudo inverse matrix M4+×3 was calculated by M3×4,the essence of this computation was solving inconsistent equations by least squares approximation,3D information would be extracted from a single image through M4+×3,the result was shown in a image by projection operator.The result could be used for qualitative analysis(qualitative vision)currently due to the limited information from a single image.The experiment indicates that the extracted object should be coplanar.Moreover,the essential theories of 3D to 2D's projection were deduced,the conclusion of the deduce is that imaging process is an irreversible process.