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A parallel projection is a particular case of projection in mathematics and graphical projection in technical drawing. Parallel projections can be seen as the limit of a central or perspective projection, in which the rays pass through a fixed point called the center or viewpoint, as this point is moved towards
Classification of Axonometric projection and some 3D projections "Axonometry" means "to measure along the axes". In German literature, axonometry is based on Pohlke's theorem, such that the scope of axonometric projection could encompass every type of parallel projection, including not only orthographic projection (and multiview projection), but also oblique projection.
Linear or point-projection perspective (from Latin perspicere 'to see through') is one of two types of graphical projection perspective in the graphic arts; the other is parallel projection. [citation needed] [dubious – discuss] Linear perspective is an approximate representation, generally on a flat surface, of an image as it is seen by the eye.
The point ¯ is the projection of a point = (,,) onto the projection plane Π. The foreshortenings are v x {\displaystyle v_{x}} , v y {\displaystyle v_{y}} and v z {\displaystyle v_{z}} . Pohlke's theorem is the basis for the following procedure to construct a scaled parallel projection of a three-dimensional object: [ 1 ] [ 2 ]
Parallel projection corresponds to a perspective projection with a hypothetical viewpoint; i.e. one where the camera lies an infinite distance away from the object and has an infinite focal length, or "zoom". In parallel projection, the lines of sight from the object to the projection plane are parallel to each other. Thus, lines that are ...
Cylindrical equal-area projection with standard parallels at 30°N/S and an aspect ratio of (3/4)π ≈ 2.356. 2002 Hobo–Dyer: Cylindrical Equal-area Mick Dyer: Cylindrical equal-area projection with standard parallels at 37.5°N/S and an aspect ratio of 1.977. Similar are Trystan Edwards with standard parallels at 37.4° and Smyth equal ...
Oblique projection is a type of parallel projection: it projects an image by intersecting parallel rays (projectors) from the three-dimensional source object with the drawing surface (projection plane). In both oblique projection and orthographic projection, parallel lines of the source object produce parallel lines in the projected image. The ...
Because a parallel projection and a scaling preserves ratios one can map an arbitrary point = (,,) by the axonometric procedure below. Pohlke's theorem can be stated in terms of linear algebra as: Any affine mapping of the 3-dimensional space onto a plane can be considered as the composition of a similarity and a parallel projection.