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Orthographic projection

 

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Orthographic projection



 
 
Orthographic projection is a means of representing a three-dimensional
Three-dimensional space

Three-dimensional space is a geometric model of the physical universe in which we live. The three dimensions are commonly called length, width, and depth , although any three mutually perpendicular directions can serve as the three dimensions....
 object in two dimensions
2D

2D or II-D may refer to:* Something with two dimensions, e.g. height and width* 2D geometric model* 2D computer graphics, the computer-based generation of images in two geometric dimensions...
.

It is a form of parallel projection, where the view direction is orthogonal to the projection plane, resulting in every plane of the scene appearing in affine transformation
Affine transformation

In geometry, an affine transformation or affine map or an affinity between two vector spaces consists of a linear transformation followed by a translation :...
 on the viewing surface. It is further divided into multiview orthographic projections and axonometric projections.

Orthographic projection corresponds to a perspective projection with a hypothetical viewpoint—e.g., one where the camera lies an infinite distance away from the object and has an infinite focal length
Focal length

The focal length of an optics system is a measure of how strongly it converges or diverges light. A system with a shorter focal length has greater optical power than one with a long focal length....
, or "zoom
Zoom lens

A zoom lens is a mechanical assembly of lens with the ability to vary its focal length , as opposed to a fixed focal length lens . They are commonly used with still camera, video camera, motion picture camera cameras, projectors, some binoculars, microscopes, telescopes, telescopic sights, and other optical instruments....
".

multiview orthographic projection
Multiview orthographic projection

With multiview orthographic projections, up to six pictures of an object are produced, with each projection plane parallel to one of the coordinate axes of the object....
s, up to six pictures of an object are produced, with each projection plane parallel to one of the coordinate axes of the object.






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Encyclopedia


Orthographic projection is a means of representing a three-dimensional
Three-dimensional space

Three-dimensional space is a geometric model of the physical universe in which we live. The three dimensions are commonly called length, width, and depth , although any three mutually perpendicular directions can serve as the three dimensions....
 object in two dimensions
2D

2D or II-D may refer to:* Something with two dimensions, e.g. height and width* 2D geometric model* 2D computer graphics, the computer-based generation of images in two geometric dimensions...
.

It is a form of parallel projection, where the view direction is orthogonal to the projection plane, resulting in every plane of the scene appearing in affine transformation
Affine transformation

In geometry, an affine transformation or affine map or an affinity between two vector spaces consists of a linear transformation followed by a translation :...
 on the viewing surface. It is further divided into multiview orthographic projections and axonometric projections.

Orthographic projection corresponds to a perspective projection with a hypothetical viewpoint—e.g., one where the camera lies an infinite distance away from the object and has an infinite focal length
Focal length

The focal length of an optics system is a measure of how strongly it converges or diverges light. A system with a shorter focal length has greater optical power than one with a long focal length....
, or "zoom
Zoom lens

A zoom lens is a mechanical assembly of lens with the ability to vary its focal length , as opposed to a fixed focal length lens . They are commonly used with still camera, video camera, motion picture camera cameras, projectors, some binoculars, microscopes, telescopes, telescopic sights, and other optical instruments....
".

Multiview orthographic projections

With multiview orthographic projection
Multiview orthographic projection

With multiview orthographic projections, up to six pictures of an object are produced, with each projection plane parallel to one of the coordinate axes of the object....
s, up to six pictures of an object are produced, with each projection plane parallel to one of the coordinate axes of the object. The views are positioned relative to each other according to either of two schemes: first-angle or third-angle projection. In each, the appearances of views may be thought of as being projected onto planes that form a 6-sided box around the object.

Pictorials

Within orthographic projection there is an ancillary category known as Pictorials. Pictorials show an image of an object as viewed from a skew direction in order to reveal all three directions (axes) of space in one picture. Orthographic pictorial instrument drawings are often used to approximate graphical perspective projections, but there is attendant distortion in the approximation. Because pictorial projections innately have this distortion, in the instrument drawing of pictorials, great liberties may then be taken for economy of effort and best effect. Orthographic pictorials rely on the technique of axonometric projection ("to measure along axes").

See also

  • Orthographic projection (cartography)
    Orthographic projection (cartography)

    An orthographic projection is a map projection of cartography. Like the stereographic projection and gnomonic projection, orthographic projection is a perspective projection, in which the sphere is projected onto a tangent plane or secant plane....
  • Telecentric lens
    Telecentric lens

    A telecentric lens is a compound lens with an unusual geometric property in how it forms images. The defining property of a telecentric system is the location of the entrance pupil or exit pupil at infinity....