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here is the original paper i found:


What exactly are the vertex weights being used for and how do they make sense intuitively?


How can we take weights of the top and bottom vertices for the edge coordinate? If the distance from those points to the edge is not the same, then it will be pulled towards either the top vertex or bottom vertex, and it would be impossible to draw a line from the left and right vertex through that point. Also, I don't see the edge position used anywhere else?


Where do weights come from in this context and how do they relate to u above?


What exactly are vertex weights and how are they computed?


Confused on the lower left graphic. Is this introducing a new triangle, i.e. showing two triangles which we are performing subdivision on?


How did we decide these weights and what exactly are they used for to calculate?