On Fri, Sep 5, 2008 at 5:47 PM, Oleg Kobchenko <[EMAIL PROTECTED]> wrote:
> 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) ...
I am not completely familiar nor comfortable with
this notation. Do P and Q have essentially the
same definition (evaluate the given polynomial)?
> 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.
Note that the a, here has nothing to do with the a
vector in x(t) = P[a0;a1;a2;...aN](t) ...
Anyways, this F[a](t) would be composed of a new
xf[a](t) and yf[a](t), but yf is not a function of xf.
I am instead interested in G[a](t) which is derived
from xf[a](t) and yf[a](t) such that yg[a](t) is a
function of xg[a](t). Specifically, where there are
multiple yf values corresponding to xf values, I
am picking the maximum yf value to be yg.
I tried to show this in the plots in my earlier post.
Ideally, I would have liked to have presented the second
and third plot from my original post in this thread together,
but I do not know how to do that.
--
Raul
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