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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



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