I think I vaguely understood why this was the same as the function from before when it was explained in class, but another explanation to clarify would be great!
Max
The ratio between the area of (xj,p,xk) and the total area is the same as the ratio of their heights (di,hi) because they have the same base - the triangle edge. This is simply because A = 1/2 * b * h. This is true for all three areas/heights, so the coordinates are the same.
supernova
I'm thinking that for 2D linear interpolation there still have the relation that the sum of three coefficients of colors is 1?
wdc
When dividing by the height, it's referring to the specific height of the edge we're measuring to, right?
I think I vaguely understood why this was the same as the function from before when it was explained in class, but another explanation to clarify would be great!
The ratio between the area of (xj,p,xk) and the total area is the same as the ratio of their heights (di,hi) because they have the same base - the triangle edge. This is simply because A = 1/2 * b * h. This is true for all three areas/heights, so the coordinates are the same.
I'm thinking that for 2D linear interpolation there still have the relation that the sum of three coefficients of colors is 1?
When dividing by the height, it's referring to the specific height of the edge we're measuring to, right?