Wolfram Mathematica Documentation Center
DOCUMENTATION CENTER SEARCH
Mathematica > Visualization and Graphics > Computational Geometry > Geometric Transforms >
Mathematica > Visualization and Graphics > Symbolic Graphics Language > Graphics Transformations > Geometric Transforms >
Built-in Mathematica SymbolSee Also »|More About »

LinearFractionalTransform

LinearFractionalTransform[m]
gives a TransformationFunction that represents a linear fractional transformation defined by the homogeneous matrix m.
LinearFractionalTransform[{a, b, c, d}]
represents a linear fractional transformation that maps r to (a.r+b)/(c.r+d).
  • For ordinary linear fractional transforms in n dimensions, m is an (n+1)x(n+1) matrix.
EXAMPLESCLOSE ALL
Basic Examples   (1)
This creates the linear fractional transform (a.x+b)/(c.x+d):
In[1]:=
Click for copyable input
In[2]:=
Click for copyable input
Out[2]=
This is the corresponding formula:
In[3]:=
Click for copyable input
Out[3]=
New in 6
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team