How do I define this without using piecewise function?

I think it has something to do with Bilinear Surface but not sure how to get started.

enter image description here

$x_1=-1, x_2=1, x_3=0, x_4=1$

$y_1=0, y_2=1, y_3=1, y_4=0$

$ x(u,v)=x_1+u·(x_2-x_1)+v·(x_3-x_1+u·(x_4-x_3-x_2+x_1))$


I don't understand what is this $u & v$ we have here.


I don't know exactly what you mean by "without using piecewise function", but the description

$$\{(x,y)| y\in[0,1] \land x\in[-1, 1-y]\}$$

has no piecewise functions...

  • $\begingroup$ As in define the shape with $x = x(t), y=y(t)$ $\endgroup$ – Gavin Sep 13 '15 at 12:19
  • $\begingroup$ @MaTaKazer That would define a curve, not an area. $\endgroup$ – 5xum Sep 13 '15 at 13:07

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.