원문정보
초록
영어
In stereo vision, two images of a 3D scene are acquired from two viewpoints. One of the objectives of stereo vision work is to recover the 3D structure of the scene. Epipolar geometry describes the relationship between the images, and the essential and fundamental matrices are the algebraic representations of this geometry. The most important feature of these matrices that is emphasized in the literature is that they are independent of the scene structure. This article illustrates—empirically and theoretically—that the fundamental matrix depends on the scene structure and demonstrates that the matrix in 0lrFmm not only represents a relationship between corresponding points of the two views but also represents a relationship between other non-corresponding points. Furthermore, we show empirically that the equation 0lrFmm does not hold for any pair of corresponding points. In scenes with objects of different depths, the value of lrFmm depends on the depths of the 3D points and increases proportionally with an increasing baseline.
목차
1. Introduction
2. Previous Work
3. Empirical Analysis
4. Algebraic Analysis of the Fundamental Matrix Equation
5. Geometric Analysis of the Fundamental Matrix Equation
5.1. Projective Points
5.2. Coplanar World Points
6. Pointing Out the Causes
7. Conclusions
References
