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The vanishing point theorem is the principal theorem in the science of perspective. It says that the image in a picture plane π of a line L in space, not parallel to the picture, is determined by its intersection with π and its vanishing point.
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.
How linear or point-projection prospective works: Rays of light travel from the object (cube), through the picture plane, and to the viewer's eye (O). Vanishing points emitting straightly lines coincident with the edges the cube drawn on the picture plane are located at the left and right of the plane. A figure explaining point-projection ...
All of the central room's orthogonals (lines imagined to be behind and perpendicular to the picture plane that converge at a vanishing point) lead to a single vanishing point in the centre of the mantelpiece above Christ's head. However the small side room has its own vanishing point, and neither it nor the vanishing point of the main room ...
A plane mirror is a mirror with a flat reflective surface. [ 1 ] [ 2 ] For light rays striking a plane mirror, the angle of reflection equals the angle of incidence. [ 3 ] The angle of the incidence is the angle between the incident ray and the surface normal (an imaginary line perpendicular to the surface).
Reverse perspective, also called inverse perspective, [1] inverted perspective, [2] divergent perspective, [3] [4] or Byzantine perspective, [5] is a form of perspective drawing where the objects depicted in a scene are placed between the projective point and the viewing plane.
Mathematically, the center of projection is a point O of the space (the intersection of the axes in the figure); the projection plane (P 2, in blue on the figure) is a plane not passing through O, which is often chosen to be the plane of equation z = 1, when Cartesian coordinates are considered.
The point P is the vanishing point of lines perpendicular to the picture. If S is another point on the horizon, then it is the vanishing point for all lines parallel to OS. But Brook Taylor (1719) indicated that the horizon plane determined by O and the horizon was like any other plane: