Yes. I wonder what we do if the point is outside the triangle.
Not all area calculations will help determine if the point is inside or outside directly.
simply_complicated
When using this definition for barycentric coordinates, does the order of the areas matter?
hmm
If you use cross product to compute areas, order does matter, but it only affects the sign, not the magnitude (u x v = -v x u).
jasonx
For two triangles with same base, the ratio of areas of the triangles is equal to the ratio of the heights of the two triangles. This comes from the area formula A = bh/2.
Do you buy it?
Yes, I buy it. :)
Yes. I wonder what we do if the point is outside the triangle. Not all area calculations will help determine if the point is inside or outside directly.
When using this definition for barycentric coordinates, does the order of the areas matter?
If you use cross product to compute areas, order does matter, but it only affects the sign, not the magnitude (u x v = -v x u).
For two triangles with same base, the ratio of areas of the triangles is equal to the ratio of the heights of the two triangles. This comes from the area formula A = bh/2.