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Curvilinear barrel distortion Curvilinear pincushion distortion. Curvilinear perspective, also five-point perspective, is a graphical projection used to draw 3D objects on 2D surfaces, for which (straight) lines on the 3D object are projected to curves on the 2D surface that are typically not straight (hence the qualifier "curvilinear" [citation needed]).
Two figures in a plane are perspective from a point O, called the center of perspectivity, if the lines joining corresponding points of the figures all meet at O. Dually , the figures are said to be perspective from a line if the points of intersection of corresponding lines all lie on one line.
In 5-point perspective the vanishing points are mapped into a circle with 4 vanishing points at the cardinal headings N, W, S, E and one at the circle's origin. A reverse perspective is a drawing with vanishing points that are placed outside the painting with the illusion that they are "in front of" the painting.
Photographic lenses and the human eye work in the same way, therefore the perspective projection looks the most realistic. [5] Perspective projection is usually categorized into one-point, two-point and three-point perspective, depending on the orientation of the projection plane towards the axes of the depicted object. [6]
Mathematically, planar projections are linear transformations acting on a point in three-dimensional space ,, to give a point , on the projection plane. These transformations consist of various compositions of the five transformations: orthographic projection , rotation , shear , translation and perspective .
Comparison of several types of graphical projection, including elevation and plan views. To render each such picture, a ray of sight (also called a projection line, projection ray or line of sight) towards the object is chosen, which determines on the object various points of interest (for instance, the points that are visible when looking at the object along the ray of sight); those points of ...
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