Orthographic projection

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Graphical projection

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Other 3D projection Stereographic projection Anamorphic projection

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Topics Computer graphics Computer-aided design Descriptive geometry Engineering drawing Foreshortening Map projection Projective geometry Technical drawing Vanishing point

Increasing the focal length and distance of the camera to infinity in a perspective projection results in an orthographic projection.

Orthographic projection is a means of representing a three-dimensional object in two 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 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, or "zoom".

Multiview orthographic projections

Main article: 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. 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. Although 6 different sides can be drawn 3 sides of a drawing give enough information to make a 3D object. These views are known as front view, top view and right side view.

Pictorials

Main article: Axonometric projection

Within orthographic projection there is an subcategory 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 inherently 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)
• Telecentric lens
• Telephoto Lens

References

Orthographic Projection Video and mathematics