 | This articledoes notcite anysources. Please helpimprove this article byadding citations to reliable sources. Unsourced material may be challenged andremoved. Find sources: "Planar projection" – news ·newspapers ·books ·scholar ·JSTOR(September 2012) (Learn how and when to remove this message) |
Planar projections are the subset of3D graphical projections constructed bylinearly mapping points inthree-dimensional space to points on atwo-dimensionalprojection plane. The projected point on theplane is chosen such that it iscollinear with the corresponding three-dimensional point and thecentre of projection. The lines connecting these points are commonly referred to asprojectors.
The centre of projection can be thought of as the location of the observer, while the plane of projection is the surface on which the two dimensional projectedimage of the scene is recorded or from which it is viewed (e.g., photographic negative, photographic print, computer monitor). When the centre of projection is at a finite distance from the projection plane, aperspective projection is obtained. When the centre of projection is at infinity, all the projectors are parallel, and the corresponding subset of planar projections are referred to asparallel projections.
Mathematically, planar projections arelinear transformations acting on a point in three-dimensional space to give a point on the projection plane. These transformations consist of variouscompositions of the five transformations:orthographic projection,rotation,shear,translation andperspective.
It is also used in maps to show the planet Earth and other planets or objects in space. This is good for maps of close-up areas.
 | Thisgeometry-related article is astub. You can help Wikipedia byexpanding it. |
