Epipolar geometry

노트

Epipolar geometry describes the geometric relationship between two camera systems.^[1]
In this section we will deal with epipolar geometry.^[2]
This paper gives a comparison of SAR imaging and camera imaging from the viewpoint of epipolar geometry.^[3]
The imaging model and epipolar geometry of the two sensors are analyzed in detail.^[3]
The standard epipolar geometry setup involves two cameras observing the same 3D point P, whose projection in each of the image planes is located at p and p’ respectively.^[4]
An interesting case of epipolar geometry is shown in Figure 4, which occurs when the image planes are parallel to each other.^[4]
The application of projective geometry to this situation results in the now popular epipolar geometry approach.^[5]
Due to the linearity of the above equation, the epipolar geometry approach maintains a clean elegance in its manipulations.^[5]
The result is that it is not possible to determine the epipolar geometry between close consecutive frames and it cannot be determined from image correspondences alone.^[5]
The linearization in epipolar geometry creates these degeneracies and numerical ill-conditioning near them.^[5]
To calculate depth information from a pair of images we need to compute the epipolar geometry.^[6]
We first describe properties of the epipolar geometry of two affine cameras, and its optimal computation from point correspondences.^[7]
The epipolar geometry then describes the relation between the two resulting views.^[8]