摘要
从引入空间投影变换的概念入手，证明了体积之交比为一般的投影不变量，从而将其作为描述物体的度量。通过对基础矩阵进行合适的分解，导出了确定投影变换模型之齐次坐标和投影坐标的方法。提出了三维直接线性变换用于由物体的投影变换模型进行物体重建。实验分析证实了所述理论和方法的正确性。
This article addresses the photogrammetric theory in stereo vision, particular with non metric camera. The discussion is embedded in projective geometry, which can be regarded as an extension to conventional photogrammetry with metric camera in Euclidean geometry. The cross ratio of volume elements is shown as projective invariant after the spatial projective transformation is properly introduced. The volume cross ratio is thus defined as projective independent measure for object description. The fundamental matrix in stereo vision is decomposed into a production of two matrices, projective base matrix and projective rotation matrix, as defined in the article. This concept inherits the one of the essential matrix for metric camera, and leads a concise soultion to projective coordinates and homogeneous corrdinates of the projective model. In order to reconstruct the object from its projective model, a three dimensional direct linear transformation (3 D DLT) is proposed, with which the object reconstruction can be performed linearly with minimum five conjugate known object points. Tests results and analyses verify the theory and methodology.
出处
《武汉测绘科技大学学报》
CSCD
1998年第4期377-382,共6页
Geomatics and Information Science of Wuhan University
关键词
基础矩阵
投影重建
立体视觉
摄影测量
计算机
fundamental matrix
projective reconstruction
projective invariant
stereo vision
photogrammetry
