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A 3D projection (or graphical projection) is a design technique used to display a three-dimensional (3D) object on a two-dimensional (2D) surface. These projections rely on visual perspective and aspect analysis to project a complex object for viewing capability on a simpler plane.
Vertical perspective from an altitude of 35,786 km over (0°, 90°W), corresponding to a view from geostationary orbit. 10° graticule. The vertical perspective projection showing exactly one third of the Earth's surface, with Tissot's indicatrix of deformation. The General Perspective projection is a map projection. When the Earth is ...
As with reflections, the orthogonal projection onto a line that does not pass through the origin is an affine, not linear, transformation. Parallel projections are also linear transformations and can be represented simply by a matrix. However, perspective projections are not, and to represent these with a matrix, homogeneous coordinates can be ...
Developing a financial projection in Excel from scratch can be time-consuming, and data entry or formula errors will lead to inaccurate results. Learn more by viewing Microsoft's tutorial on ...
Stereographic projection of the unit sphere from the north pole onto the plane z = 0, shown here in cross section. The unit sphere S 2 in three-dimensional space R 3 is the set of points (x, y, z) such that x 2 + y 2 + z 2 = 1.
For example, in perspective projection, a position in space is associated with the line from it to a fixed point called the center of projection. The point is then mapped to a plane by finding the point of intersection of that plane and the line. This produces an accurate representation of how a three-dimensional object appears to the eye.
The camera matrix derived in the previous section has a null space which is spanned by the vector = This is also the homogeneous representation of the 3D point which has coordinates (0,0,0), that is, the "camera center" (aka the entrance pupil; the position of the pinhole of a pinhole camera) is at O.
Linear or point-projection perspective (from Latin perspicere 'to see through') is one of two types of graphical projection perspective in the graphic arts; the other is parallel projection. [citation needed] [dubious – discuss] Linear perspective is an approximate representation, generally on a flat surface, of an image as it is seen by the eye.