This almost feels like the bilinear interpolation we learned in the texture mapping lecture. I try to memorate it as a recursive application of the bilinear interpolation (over and over again) until we get the desired polynomial. I am curious of what the limitations of this algorithm are since if we are using it with recursion? Will it be efficient enough for a consuming task such as CGI animations?
SuryaTalla22
I am also wondering how we can reconstruct the Bezier points from a given curve, or if this is even possible.
marilynjoyce
It's so interesting how this works to form a curve. Reconstructing the points from interpolation given a curve, as mentioned above, I feel would be pretty difficult, because can two of the same curves have different Bezier points?
0-0-00-0
@SuryaTalla22 You could do it with the equation of the curve (if the equations are known)
noah-ku
It's really cool to see how the Bezier curve smooths out as you continue with more steps given a certain t. I wonder how many number of steps it takes to give the line a "smooth" effect and whether that number scales with the position of the points.
This almost feels like the bilinear interpolation we learned in the texture mapping lecture. I try to memorate it as a recursive application of the bilinear interpolation (over and over again) until we get the desired polynomial. I am curious of what the limitations of this algorithm are since if we are using it with recursion? Will it be efficient enough for a consuming task such as CGI animations?
I am also wondering how we can reconstruct the Bezier points from a given curve, or if this is even possible.
It's so interesting how this works to form a curve. Reconstructing the points from interpolation given a curve, as mentioned above, I feel would be pretty difficult, because can two of the same curves have different Bezier points?
@SuryaTalla22 You could do it with the equation of the curve (if the equations are known)
It's really cool to see how the Bezier curve smooths out as you continue with more steps given a certain t. I wonder how many number of steps it takes to give the line a "smooth" effect and whether that number scales with the position of the points.