# 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.

# Details

• ViewMatrix can be set to a pair of 4×4 matrices {t,p}, where t is a homogeneous transformation matrix and p is a projection matrix in 3D.
• The transformation matrix t is applied to the list {x,y,z,1} for each point. The projection matrix p is applied to the resulting vectors from the transformation.
• If the result is {tx,ty,tz,tw}, then the screen coordinates for each point are taken to be given by {tx,ty}/tw.
• With the default setting , the matrices {t,p} are found automatically from the settings for options such as ViewPoint, ViewVertical, and ViewAngle.
• With the setting , 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.

# Examples

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## Basic Examples(2)

Define a rescaling transform t:

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Define an orthographic projection p from the front:

 In[2]:=

Display a 3D object using the orthographic view:

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Define a transform t that rotates an object 45° around and axes, then rescales it:

 In[1]:=
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Define an orthographic projection p from the negative direction:

 In[2]:=

Display a 3D object using the orthographic view:

 In[3]:=
 Out[3]=