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cross ratio中文是什么意思

  • 交比,非調和比,重比。

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  • 例句與用法
  • The cross ratio he called anharmonic ratio .
    他把交比叫作非調和比。
  • Desargues proved that the cross ratio is the same for every section of the projection .
    Desargues證明了投射線的每個截線上的交比都相等。
  • Desargues proved that the cross ratio is the same for every section of the projection
    Desargues證明了投射線的每個截線上的交比都相等。
  • A camera calibration method with co - line points is proposed , in which distortion center is located according to cross ratio invariability , and then distortion coefficients are calculated based on a line ' s central projection is a line
    摘要提出一種用共線點列標定攝像機鏡頭畸變參數的方法,先根據交叉比不變性確定畸變中心,再利用直線的中心投影仍為直線這一性質確定畸變系數。
  • On the stage of describing the shape of airplane and extracting feature , we derive five - coplanar - point invariant from the basic projective invariant - cross ratio , and resolve the problem of stabilization of five - coplanar - point when there is three points are nearly collinear
    在對飛機外型提取特征進行描述的階段,首先從基本的射影不變量交比不變量出發(fā),推導出了平面五點不量,并解決了當有三點接近共線時不變量不穩(wěn)定的問題。
  • 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
    提出了基于匹配點調整的f求精方法,先根據攝影交比不見性對手工選擇的匹配點進行調整,再用線性、非線性結合的方法求精f矩陣;在計算內部參數a中,進行了一定的簡化,把重心放在a中重要的兩個參數上,用svd分解法計算kruppa方程;在計算外部參數時,首先用線性法求解r 、 t ,然后再用非線性法迭代求精。
  • 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
    基于射影幾何理論,論文圍繞3d不變特征的提取和應用進行了如下的研究工作: ( 1 )系統總結了射影幾何中的若干基礎概念,包括:透視成像的相機模型、射影對應、交比不變量、基于不同幾何變換下的不變量的簡單對比、對極幾何中的基礎矩陣、對極點、對極線等。
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