I am interested in finding the representation of a 3D curve in space through the use of multiple lines.
For example: Let us take Zaha Hadid's building (because it is an interesting and nuanced shape)
Now let us do some polynomial interpolation and obtain the equations for some lines on the front.
Now we obtain something like this:
y = 3.271849*10^{2}
-1.500864x10^{0}
+9.150803*10^{-3}x^{2}
+3.242545*10^{-5}x^{3}
-2.80975*10^{-7}x^{4}
+3.932247*10^{-10}x^{5}
And so forth.
This equation, for instance, represents the curve outlined by the red points.
The question is this: Can I use these equations to draw a 3D plane, and what method could I use?
Alternatively, would I require lines defining the side view of this plane as well?
Thank you for your time!