Everything about Perspective Transform totally explained
3D Projection is a method of mapping three dimensional points to a two dimensional plane. As most current methods for displaying graphical data are based on planar two dimensional media, the use of this type of projection is widespread, especially in computer graphics, engineering and drafting.
Orthographic projection
Orthographic projections are a small set of transforms often used to show profile, detail or precise measurements of a three dimensional object. Common names for orthographic projections include plan, cross-section, bird's-eye, and elevation.
The normal of the viewing plane (the camera direction) is always parallel to one of the 3D axes making the mathematical transformation very simple.
To project the 3D point
,
,
onto the 2D point
,
using an Orthographic projection parallel to the y axis(Profile view), the following equation can be used:
» »
Where the vector
s is an arbitrary scale factor, and
c is an arbitrary offset. These constants are optional, and can be used to properly align the viewport.
The projection can be shown using Matrix notation (introducing a temporary vector
d for clarity)
» Further Information
Get more info on 'Perspective Transform'.
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