so in this case we describe every triangle mesh as some kind of changed unit triangle?
Is this idea of "polygon can be thought of as affine map of unit polygon" useful in other areas? I remember in one of the practice problems we had, an ellipse was thought of as a "stretching" of a circle.
maybe dumb question but is this affine map the border of the triangle or the entire region?
Are u and v bound between |u+v| <= 1? Or is this more of an implicit representation