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But what if we just scan the object from different directions and use the color data where it is good? Well, that could work fine for diffuse surfaces whose geometry is modelled really accurately. We, on the other hand, want to use color to show detail without actually modeling it.
On the left we have two color pictures of the same corner of a flower bucket. On the right those pictures are used to texture a simplified geometric model of the bucket. When the model is viewed from a different direction than from which the color data was obtained, unnatural warpings become apparent. Thus, when the underlying geometry is not accurate, there may not be any single texture map that would look good when viewed from an arbitrary direction.
[I removed this slide to keep the talk short.]