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If the images to be rectified are taken from camera pairs without geometric distortion, this calculation can easily be made with a linear transformation.X & Y rotation puts the images on the same plane, scaling makes the image frames be the same size and Z rotation & skew adjustments make the image pixel rows directly line up [citation needed].
In painting, photography, graphical perspective and descriptive geometry, a picture plane is an image plane located between the "eye point" (or oculus) and the object being viewed and is usually coextensive to the material surface of the work. It is ordinarily a vertical plane perpendicular to the sightline to the object of interest.
Fig.5: A second, horizontal plane of projection is added, perpendicular to the first. Fig.6: Projectors emanate parallel from all points of the object perpendicular to the second plane of projection. Fig.7: An image is created thereby. Fig.8: The third plane of projection is added, perpendicular to the previous two. Fig.9: Projectors emanate ...
In three-dimensional geometry, a parallel projection (or axonometric projection) is a projection of an object in three-dimensional space onto a fixed plane, known as the projection plane or image plane, where the rays, known as lines of sight or projection lines, are parallel to each other. It is a basic tool in descriptive geometry.
its vanishing point, found at the intersection between the parallel line from the eye point and the picture plane. The principal vanishing point is the vanishing point of all horizontal lines perpendicular to the picture plane. The vanishing points of all horizontal lines lie on the horizon line. If, as is often the case, the picture plane is ...
For example, when α is the ground plane and β is the horizon plane, then the vanishing line of α is the horizon line β ∩ π. To put it simply, the vanishing line of some plane, say α, is obtained by the intersection of the image plane with another plane, say β, parallel to the plane of interest (α), passing
Alternatively, a line can be described as the intersection of two planes. Let L be a line contained in distinct planes a and b with homogeneous coefficients (a 0 : a 1 : a 2 : a 3) and (b 0 : b 1 : b 2 : b 3), respectively. (The first plane equation is =, for example.)
However, the right camera sees this line as a line in its image plane. That line (e R –x R) in the right camera is called an epipolar line. Symmetrically, the line O R –X is seen by the right camera as a point and is seen as epipolar line e L –x L by the left camera. An epipolar line is a function of the position of point X in the 3D ...