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Planar projection information


Planar projections are the subset of 3D graphical projections constructed by linearly mapping points in three-dimensional space to points on a two-dimensional projection plane. The projected point on the plane is chosen such that it is collinear with the corresponding three-dimensional point and the centre of projection. The lines connecting these points are commonly referred to as projectors.

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 projected image 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, a perspective 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 as parallel projections.

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Planar projection

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Planar projections are the subset of 3D graphical projections constructed by linearly mapping points in three-dimensional space to points on a two-dimensional...

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3D projection

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picture on a planar surface such as drawing paper. There are two graphical projection categories, each with its own method: parallel projection perspective...

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Equirectangular projection

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panoramic image. The forward projection transforms spherical coordinates into planar coordinates. The reverse projection transforms from the plane back...

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Planar graph

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In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect...

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Oblique projection

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Oblique projection is a simple type of technical drawing of graphical projection used for producing two-dimensional (2D) images of three-dimensional (3D)...

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Winkel tripel projection

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The Winkel tripel projection (Winkel III), a modified azimuthal map projection of the world, is one of three projections proposed by German cartographer...

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Mercator projection

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to give the planar map.[page needed] The fraction R/a is called the representative fraction (RF) or the principal scale of the projection. For example...

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Isometric projection

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projection Ingrid Carlbom; Joseph Paciorek; Dan Lim (December 1978). "Planar Geometric Projections and Viewing Transformations". ACM Computing Surveys. 10 (4):...

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Map projection

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Albers), and planar (e.g., stereographic). Many mathematical projections, however, do not neatly fit into any of these three projection methods. Hence...

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Haworth projection

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perspective. Haworth projection approximate the shapes of the actual molecules better for furanoses—which are in reality nearly planar—than for pyranoses...

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Isometric video game graphics

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are graphics employed in video games and pixel art that use a parallel projection, but which angle the viewpoint to reveal facets of the environment that...

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Stereographic projection

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stereographic projection is a perspective projection of the sphere, through a specific point on the sphere (the pole or center of projection), onto a plane...

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3D computer graphics

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Altering the scene into a suitable form for rendering also involves 3-D projection, which displays a three-dimensional image in two dimensions. Although...

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Orthographic projection

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projection (also orthogonal projection and analemma) is a means of representing three-dimensional objects in two dimensions. Orthographic projection is...

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Multiview orthographic projection

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(Auxiliary) plane of projection. Fig.13: An image is created thereby. Fig.14-16: The various planes of projection are unfolded to be planar with the Frontal...

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Planar process

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The planar process is a manufacturing process used in the semiconductor industry to build individual components of a transistor, and in turn, connect those...

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Pixel

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the hierarchy. Warped grids are used when the underlying geometry is non-planar, such as images of the earth from space. The use of non-uniform grids is...

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Euclidean plane

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Such a drawing is called a plane graph or planar embedding of the graph. A plane graph can be defined as a planar graph with a mapping from every node to...

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Fischer projection

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Fischer projection, devised by Emil Fischer in 1891, is a two-dimensional representation of a three-dimensional organic molecule by projection. Fischer...

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3D rendering

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called 3D projection. This is done using projection and, for most applications, perspective projection. The basic idea behind perspective projection is that...

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Affine transformation

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image warping. However, the affine transformations do not facilitate projection onto a curved surface or radial distortions. Affine transformations in...

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Computer graphics

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for displaying graphical data are based on planar two dimensional media, the use of this type of projection is widespread. This method is used in most...

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Mollweide projection

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known as the Babinet projection, homalographic projection, homolographic projection, and elliptical projection. The projection trades accuracy of angle...

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