论文信息 - Relation between 3D invariants and 2D invariants

Relation between 3D invariants and 2D invariants

Polynomial relations are established between the invariants of certain mixed sets of points and lines and the invariants of their projected images. The relations are obtained using the properties of a rational curve, in fact a twisted cubic, which is a covariant of the given set of points and lines.

Stephen J. Maybank | S. Maybank

[1] Stefan Carlsson. Relative Positioning from Model Indexing , 1993, BMVC.

[2] Andrew Zisserman,et al. Geometric invariance in computer vision , 1992 .

[3] Long Quan,et al. Invariants of Six Points and Projective Reconstruction From Three Uncalibrated Images , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[4] J. G. Semple,et al. Algebraic Projective Geometry , 1953 .

[5] J. Semple,et al. Introduction to Algebraic Geometry , 1949 .

[6] Gunnar Sparr,et al. A Common Framework for Kinetic Depth, Reconstruction and Motion for Deformable Objects , 1994, ECCV.

[7] S. Abhyankar. Invariant theory and enumerative combinatorics of young tableaux , 1992 .