BUILT-IN MATHEMATICA SYMBOL
ViewMatrix
ViewMatrix
is an option for Graphics3D and related functions that can be used to specify a pair of explicit homogeneous transformation and projection matrices for 3D coordinates.
- ViewMatrix can be set to a pair of 4×4 matrices
, where t is a homogeneous transformation matrix and p is a projection matrix in 3D.
- The transformation matrix t is applied to the list
for each point. The projection matrix p is applied to the resulting vectors from the transformation.
- If the result is
, then the screen coordinates for each point are taken to be given by 
.
- With the default setting ViewMatrix->Automatic, the matrices
are found automatically from the settings for options such as ViewPoint, ViewVertical, and ViewAngle.
- With the setting ViewMatrix->Automatic, explicit forms for the matrix m can be found using AbsoluteOptions[g, ViewMatrix].
- An explicit setting ViewMatrix->{t, p} overrides settings for ViewVector, ViewPoint, and other view options.
Define a rescaling transform t:
| Out[1]= |  |
Define an orthographic projection p from the front:
Display a 3D object using the orthographic view:
| Out[3]= |  |
Define a transform t that rotates an object 45° around 
and 
axes, then rescales it:
| Out[1]= |  |
Define an orthographic projection p from the negative 
direction:
Display a 3D object using the orthographic view:
| Out[3]= |  |
New in 6 | Last modified in 8
