Study of 3D-from-2D using elimination

The 3D geometric invariants from point correspondences across multiple 2D views are united by using the tool of Elimination for algebraic geometry. The technique allows one to predict results by counting parameters and reduces many complicated results obtained in the previous reconstruction from two and three views, epipolar geometry from seven points, trilinearity of three views, the use of a priori 3D information such as bilateral symmetry, shading and color constancy, and more into few lines of reasoning each. One of the appealing features of the elimination approach is that it is simple to apply and does not require any understanding of the underlying 3D from 2D geometry and algebra.