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peanut

Sorry didn't quite understand the context... Is (u, v) a point or a coordinate associated with texture surface? Didn't quite get what u v means here and later in this lecture... What is the relationship between (u, v) and (x, y)?

Bananya

I think the definition is at slide 38. (u,v) is the texture coordinates in which we define the mapping from surface coordinates to points in texture domain. It's like the gift wrapping with marks on it, each mark (x, y, z) maps to a point on the gift so that you know how to wrap it.

keenan

@Bananya has it right: in this lecture, we typically use $(x,y)$ to denote coordinates on the screen, and $(u,v)$ to denote coordinates in texture space. For each screen sample, the texture coordinates are determined via barycentric interpolation of texture coordinates at vertices.