Geometrical constraints of the synthetic method of estimating fundamental matrix and its analysing  

作　　者：沈沛意 王伟 吴成柯 

出　　处：《Science China(Technological Sciences)》1999年第3期321-329,共9页中国科学（技术科学英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 69605002) ;France-China Advanced Research Program

摘　　要：The new geometrical constraints, based on the geometrical analysing of synthetic method, are developed to estimate fundamental matrix (F matrix). Applying the new constraints, the four parameters of fundamental matrix could be estimated firstly, and these four parameters are the coordinates of the two epipoles. The other four parameters of the fundamental matrix could be solved by solving the linear equations with the other new constraint secondly, and these parameters represent the homography between the two pencils of epipolar lines. The synthetic data and the real data are used to test the new method. And the method is of the advantages of obvious geometrical meaning, and high stability of the epipoles of the fundamental matrix.The new geometrical constraints, based on the geometrical analysing of synthetic method, are developed to estimate fundamental matrix (F matrix). Applying the new constraints, the four parameters of fundamental matrix could be estimated firstly, and these four parameters are the coordinates of the two epipoles. The other four parameters of the fundamental matrix could be solved by solving the linear equations with the other new constraint secondly, and these parameters represent the homography between the two pencils of epipolar lines. The synthetic data and the real data are used to test the new method. And the method is of the advantages of obvious geometrical meaning, and high stability of the epipoles of the fundamental matrix.

关 键 词：FUNDAMENTAL MATRIX two-epipole CONSTRAINT SYNTHETIC method. 

分 类 号：O151.21[理学—数学]