OK. Could you illustrate it in mathematical notation.
Parametric form, P and Q polynomials:
x(t) = P[a0;a1;a2;...aN](t) ...
y(t) = Q[b0;b1;b2;...bM](t) ...
Rotation
R[a] = { cos(a) , -sin(a) ;
sin(a) , cos(a) }
F[a](t) = R[a] mp {x(t);y(t)} ...
or so? And what happens next in terms of such notation.
> From: Raul Miller <[EMAIL PROTECTED]>
>
> On Fri, Sep 5, 2008 at 11:52 AM, Oleg Kobchenko wrote:
> > I am not sure, I can help specifically, but it still could
> > clarify things, if you said what specific form of result you
> > are looking for: is it an operator that rotates any function
> > or transforms polynomials? Your original question was a little
> > confusing, at least to me:
> >
> >> My question is: how do I find the rank 0 functions which
> >> correspond to general cases of that plot?
> >
> > What are the inputs, parameters, form of result, how it is applied,
> > examples, etc?
>
> Right now I am exploring the concepts. I am modeling some code
> which I hope to eventually write.
>
> In this context, my ideal would be:
>
> Given a possibly discontinuous function expressed which was expressed
> as as parametric equation (which in turn was expressed as some concise
> generating function (I am using polynomials) and a rotation), and
>
> Given some coordinate which selects a point described by that
> discontinuous function,
>
> Deterministically find a corresponding generating value which would
> drive that original generating function.
>
>
> In other words, I am trying to find the inverse of a moderately
> complex set of functions describing curves.
>
> Once I do that, I hope to repeat these steps for multi-valued functions
> (representing some probably constrained set of curved surfaces, but I
> would prefer that this set includes some concave surfaces).
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