Admission

illustration all straight lines, which run parallel to each other in the original, cut themselves vanishing point [1].

During the perspective illustration spatial objects become on an even surface, which projects image plane. That is for example with the photographic admission the case. InPicture original [1] parallel straight line are among other things the edges of road, roof aligning and window aligning of the cultivated road. They all approach on a common vanishing point.

Also the senkrechten house corners are parallel straight lines. However their vanishing point lies far outside of the picture.

All parallel levels cut themselves in onecommon escape straight lines. For the horizontal levels of the fig. [1], like for example the road surface and the floor covers, that is the horizon. The vanishing points of all parallels in such a level are on this escape straight line.

particularly with buildings gives it to each otherperpendicularly standing lines in three directions: Height, width, depth. The line of sight (camera axis of the camera, perspective) for an illustration can be selected with the fact in such a way that, two or three vanishing points to develop. This is called vanishing point perspective.

The perspective of a picture leads the view of the vieweron the vanishing point. The choice of the situation and the number of vanishing points of a picture are therefore a substantial task of the picture design. Vanishing points create dynamics and depth. They set accents and bring objects into the focus of the viewer.

geometrical construction

the illustration [3] shows the geometrical connection between the vanishing point perspective and the Parallelprojektion. The latter is used for out-measurable maps and plans, it offers to the eye no attraction. The projection of all points of object of one point of eye O on an image plane B both forSketch (O', B') and for the diagram (O, B) senkrechte and horizontal cut straight lines result in to the appropriate pixels in the projection. Picture shows that the dynamics become the stronger, the move more near the point of eye to the object. The situation of the point of eye decides not only overthe aspect angle, but also over the visibility of object details.

If the image plane is perpendicularly to an object surface, here the building front, then its escape straight line in the infinite one has this surface and all surfaces parallel to it. If the image plane B' (sketch) is turned, then develops for these surfaces likewiseVanishing point in the finite one. A picture develops similar to fig. [2]. A tilting of the image plane B in the diagram leads either to the bird perspective or to the frog perspective.