cross ratio中文什么意思

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1. In the self - calibration scheme , the thesis emphasizes the accuracy of camera intrinsic and extrinsic parameters . we presents an accurate f method based on corresponding point adjustment . the method adjusts coresponding points according to the fixedness of projective transformed cross ratio , then calculates f matrix accurately through linear and non - linear methods . when computing intrinsic parameter , a matrix , we simplify the step , and stress on the two important parameters of a . the result will be getten through solving kruppa equation based on svd decomposition . in order to compute extrinsic parameters , we use linear method to get initial r and t , then apply non - linear method to accurate them
   提出了基于匹配点调整的f求精方法，先根据摄影交比不见性对手工选择的匹配点进行调整，再用线性、非线性结合的方法求精f矩阵；在计算内部参数a中，进行了一定的简化，把重心放在a中重要的两个参数上，用svd分解法计算kruppa方程；在计算外部参数时，首先用线性法求解r 、 t ，然后再用非线性法迭代求精。
2. Based on projective geometry , the research works about 3d invariance ' s extraction and application have been done in this thesis as following : ( 1 ) the basic theories and concepts in projective geometry are systematically summarized . it includes : the camera models of perspective imaging , projective collineation , cross ratio , a simple compare about invariance ( invariant ) among some geometry transformations , fundamental matrix , epipolar and epipolar line in epipolar geometry , and so on . ( 2 ) the calculation methods for 2d projective transformation are extended from points to multi - element , which includes points , lines , points lines and so on , to get the relationship between two projective planes
   基于射影几何理论，论文围绕3d不变特征的提取和应用进行了如下的研究工作： ( 1 )系统总结了射影几何中的若干基础概念，包括：透视成像的相机模型、射影对应、交比不变量、基于不同几何变换下的不变量的简单对比、对极几何中的基础矩阵、对极点、对极线等。