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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
Plate carrée: special case having the equator as the standard parallel. 1745 Cassini = Cassini–Soldner: Cylindrical Equidistant César-François Cassini de Thury: Transverse of equirectangular projection; distances along central meridian are conserved. Distances perpendicular to central meridian are preserved. 1569 Mercator = Wright ...
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 ...
Orthographic projection (also orthogonal projection and analemma) [a] is a means of representing three-dimensional objects in two dimensions.Orthographic projection is a form of parallel projection in which all the projection lines are orthogonal to the projection plane, [2] resulting in every plane of the scene appearing in affine transformation on the viewing surface.
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 ...
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 ]
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.
If these lines are a parallel of latitude, as in conical projections, it is called a standard parallel. The central meridian is the meridian to which the globe is rotated before projecting. The central meridian (usually written λ 0 ) and a parallel of origin (usually written φ 0 ) are often used to define the origin of the map projection.