Finding inverse of non-linear transformation
- To: mathgroup at smc.vnet.net
- Subject: [mg116408] Finding inverse of non-linear transformation
- From: "Christopher O. Young" <cy56 at comcast.net>
- Date: Sun, 13 Feb 2011 05:50:55 -0500 (EST)
I'm trying to find the inverse of the simple non-linear transformation
(a x + b x + c) ({
{x},
{y}})
I'm trying to use this as a sort of counter-example to the usual projective
transformation, which has the polynomial in the denominator. Does
Mathematica have a way to do this? InverseFunction doesn't seem to work
here.
In[1]:= F[x_, y_, a, b, c] := (a x + b x + c) ( { {x}, {y} } )
In[2]:= InverseFunction[[x_, y_, a, b, c]]
During evaluation of In[2]:= Part::pspec: Part specification x_ is neither
an integer nor a list of integers. >>
Out[2]= InverseFunction[[x_, y_, a, b, c]]
Any help very much appreciated.
Chris Young
cy56 at comcast.net