Andz, on 16 January 2012 - 04:19 AM, said:
That's a good question, I have never had the need to use a parametric form. Can you give an example?
We could probably take something as simple as an ellipse.
x($T ) = $WIDTH * Cos($T)
y($T) = $HEIGHT * Sin($T)
Whose implicit form will be ($X/$WIDTH)^2+($Y/$HEIGHT)^2 -1 =0
Now when i think about it. Doing it with pops makes more sense as to me.
e.g. A particles moving in ellipse, its velocity can be given as
V($T) = (- $WIDTH *sin($T),$HEIGHT cos($T) in terms of parameter $T.
Pls check the attached file to see if it makes sense.
Now how about a couple of curves in polar form like
Logarithmic spiral : r = e^0.20 , Henri's Butterfly : r = (sin40)^2+cos30